Presentation PID

download Presentation PID

of 28

description

PID

Transcript of Presentation PID

  • Anlisis de Sistemas LinealesDiagramas de BodeIVIng. Rafael A. Daz ChacnASL/RAD/2001

  • Diagramas de Bodelgebra de Diagramas de BodeASL/RAD/2001

  • Diagramas de BodeFactores ElementalesASL/RAD/2001

  • Diagramas de BodeMetodologa GeneralASL/RAD/2001

  • Diagramas de BodeMetodologa GeneralASL/RAD/2001

  • Diagramas de BodeMetodologa GeneralASL/RAD/2001

  • Diagramas de BodeMetodologa General (primer ejemplo)ASL/RAD/2001

  • Diagramas de BodeMetodologa General (primer ejemplo)ASL/RAD/2001Paso 4: Flecha hacia abajo en a = 2 por el polo real

    Grfico4

    valor de w

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    20,5

    21

    21,5

    22

    22,5

    23

    23,5

    24

    24,5

    25

    25,5

    26

    26,5

    27

    27,5

    28

    28,5

    29

    29,5

    30

    30,5

    31

    31,5

    32

    32,5

    33

    33,5

    34

    34,5

    35

    35,5

    36

    36,5

    37

    37,5

    38

    38,5

    39

    39,5

    40

    40,5

    41

    41,5

    42

    42,5

    43

    43,5

    44

    44,5

    45

    45,5

    46

    46,5

    47

    47,5

    48

    48,5

    49

    49,5

    50

    50,5

    51

    51,5

    52

    52,5

    53

    53,5

    54

    54,5

    55

    55,5

    56

    56,5

    57

    57,5

    58

    58,5

    59

    59,5

    60

    60,5

    61

    61,5

    62

    62,5

    63

    63,5

    64

    64,5

    65

    65,5

    66

    66,5

    67

    67,5

    68

    68,5

    69

    69,5

    70

    70,5

    71

    71,5

    72

    72,5

    73

    73,5

    74

    74,5

    75

    75,5

    76

    76,5

    77

    77,5

    78

    78,5

    79

    79,5

    80

    80,5

    81

    81,5

    82

    82,5

    83

    83,5

    84

    84,5

    85

    85,5

    86

    86,5

    87

    87,5

    88

    88,5

    89

    89,5

    90

    90,5

    91

    91,5

    92

    92,5

    93

    93,5

    94

    94,5

    95

    95,5

    96

    96,5

    97

    97,5

    98

    98,5

    99

    99,5

    100

    100,5

    101

    101,5

    102

    102,5

    103

    103,5

    104

    104,5

    105

    105,5

    106

    106,5

    107

    107,5

    108

    108,5

    109

    109,5

    110

    110,5

    111

    111,5

    112

    112,5

    113

    113,5

    114

    114,5

    115

    115,5

    116

    116,5

    117

    117,5

    118

    118,5

    119

    119,5

    Hoja1

    valor de wn=valor de ww/wnmagnitud de Hfase de H20 log |H|

    20001000

    0.50.0251.00061286760.2868010630.00532167010

    -0.110.051.00245589260.57466586930.02130546060

    1.50.0751.00554241910.86467117360.04800792350

    2020.11.00989495111.15792008430.085524020

    2.50.1251.01554555591.45555608170.13398819970

    30.151.0225364481.7587780870.19357594480

    3.50.1751.03092077312.06885700310.26450581540

    40.21.04076361782.38715421580.34704204190

    4.50.2251.05214328172.71514263520.44149772850

    50.251.06515285833.05443098110.54823874260

    5.50.2751.07990218393.40679218120.66768838870

    60.31.09652023193.77419696640.80033298520

    6.50.3251.1151580524.15885403990.94672849120

    70.351.13599237984.56325858081.10750836290

    7.50.3751.15923008314.99025135981.28339285930

    80.41.18511365785.44309144641.47520006360

    8.50.4251.21392805185.92554643421.6838589470

    90.451.24600918396.44200542331.9104248670

    9.50.4751.28175464136.99762181052.15609797470

    100.51.32163720097.5984954822.42224508990

    10.50.5251.36622203358.25190761112.71042570090

    110.551.41618875298.966626433.02242281940

    11.50.5751.47235987349.75330983933.36027946010

    120.61.535737792110.62504171953.72634143410

    12.50.6251.607553149811.598055134.12330681410

    130.651.6893283812.69272007384.55428156170

    13.50.6751.78296140413.93491058245.02283884110

    140.71.890835584215.35792230455.53307533630

    14.50.7252.015962525617.00519756096.08964909650

    150.752.162162162218.93424327056.69776525850

    15.50.7752.334274476821.22231115417.36303842880

    160.82.538365412823.97464309698.09108283080

    16.50.8252.781801091427.33627460498.88652146360

    170.853.072834744531.50813440619.75078409480

    17.50.8753.418795614236.766109803710.67746276310

    180.93.820803599543.473881706311.64309428510

    18.50.9254.261336700352.057721317212.5909170080

    190.954.682608166562.866885774613.4097563640

    19.50.9754.971318033875.829491675713.92943094930

    20159013.97940008670

    20.51.0254.7357801891103.833105699313.5078307288

    211.054.2793600054115.984329724112.6275764694

    21.51.0753.7677108197125.870977312711.5215512463

    221.13.2879797461133.644279771510.3385826726

    22.51.1252.8726425303139.71301454599.1656317208

    231.152.5245261781144.48635481798.0435975695

    23.51.1752.235506988148.29251202956.9875206356

    241.21.9952172112151.37502869355.9998036493

    24.51.2251.7941718894153.91019013115.0772809595

    251.251.6245538642156.02535690314.2146823105

    25.51.2751.4801718094157.81331623543.4062425717

    261.31.3561893622159.34253672152.64640667

    26.51.3251.2488354764160.66427294261.9301045498

    271.351.1551578789161.81745614791.2528268924

    27.51.3751.0728292944162.83207685810.6106124746

    281.41163.73154787980

    28.51.4250.9351869933164.5343755695-0.5820308406

    291.450.8771908732165.2553575902-1.1381179126

    29.51.4750.8250333258165.9064528306-1.6705701704

    301.50.7779098416166.4974214873-2.1814146816

    30.51.5250.7351536981167.0363019414-2.6724370748

    311.550.6962083098167.5297702705-3.1452159472

    31.51.5750.6606058287167.9834143242-3.6011519749

    321.60.6279504491168.40194487-4.0414924921

    32.51.6250.5979052787168.7893598695-4.4673522459

    331.650.570181934169.1490734746-4.8797309455

    33.51.6750.544532234169.4840182031-5.2795281349

    341.70.5207415223169.7967265296-5.667555833

    34.51.7250.4986232609170.0893965395-6.0445493084

    351.750.4780146261170.3639451384-6.4111762958

    35.51.7750.4587728987170.6220514683-6.7680449056

    361.80.4407724872170.8651925596-7.1157104356

    36.51.8250.4239024603171.0946727825-7.4546812566

    371.850.4080644903171.3116483153-7.7854239162

    37.51.8750.3931711304171.5171475818-8.1083675777

    381.90.3791443646171.7120884079-8.4239078947

    38.51.9250.3659143824171.8972924947-8.7324104019

    391.950.3534185374172.0734976817-9.0342134938

    39.51.9750.3416004606172.2413683854-9.3296310471

    4020.3304093002172.401504518-9.6189547367

    40.52.0250.3197990694172.5544491411-9.9024560871

    412.050.3097280835172.7006950551-10.1803882937

    41.52.0750.3001584733172.8406904949-10.4529878441

    422.10.2910557622172.9748440688-10.7204759651

    42.52.1250.2823884985173.1035290555-10.9830599167

    432.150.2741279336173.2270871538-11.2409341527

    43.52.1750.2662477411173.3458317654-11.4942813635

    442.20.258723769173.4600508757-11.7432734146

    44.52.2250.2515338222173.5700095909-11.9880721944

    452.250.2446574704173.6759523758-12.2288303795

    45.52.2750.2380758774173.7781050346-12.4656921292

    462.30.2317716509173.8766764676-12.6987937149

    46.52.3250.2257287078173.9718602328-12.9282640929

    472.350.2199321545174.0638359372-13.1542254255

    47.52.3750.2143681807174.1527704796-13.3767935569

    482.40.209023963174.2388191625-13.596078448

    48.52.4250.2038875801174.3221266886-13.8121845741

    492.450.1989479349174.4028280568-14.0252112896

    49.52.4750.1941946861174.4810493684-14.2352531628

    502.50.1896181853174.5569085536-14.4424002833

    50.52.5250.1852094204174.6305160283-14.6467385456

    512.550.1809599654174.7019752883-14.8483499103

    51.52.5750.1768619332174.7713834475-15.0473126446

    522.60.1729079344174.838831727-15.2437015454

    52.52.6250.169091039174.9044058994-15.4375881453

    532.650.1654047415174.9681866931-15.6290409032

    53.52.6750.1618429295175.0302501618-15.8181253819

    542.70.1583998549175.0906680213-16.004904412

    54.52.7250.1550701074175.149507957-16.189438245

    552.750.1518485906175.2068339071-16.3717846952

    55.52.7750.1487304995175.26270632-16.5519992724

    562.80.1457113006175.3171823928-16.7301353051

    56.52.8250.1427867134175.3703162886-16.9062440563

    572.850.1399526926175.4221593377-17.0803748305

    57.52.8750.1372054133175.4727602227-17.2525750747

    582.90.1345412556175.5221651486-17.4228904727

    58.52.9250.1319567918175.5704180008-17.5913650332

    592.950.1294487739175.61756049-17.7580411727

    59.52.9750.127014122175.6636322878-17.922959793

    6030.1246499137175.7086711503-18.0861603543

    60.53.0250.1223533748175.7527130349-18.2476809436

    613.050.1201218696175.7957922065-18.4075583394

    61.53.0750.1179528928175.8379413381-18.5658280721

    623.10.1158440616175.8791916027-18.7225244812

    62.53.1250.1137931086175.9195727601-18.8776807696

    633.150.1117978746175.9591132368-19.0313290538

    63.53.1750.1098563029175.9978402011-19.1835004125

    643.20.107966433176.0357796327-19.3342249316

    64.53.2250.1061263952176.0729563882-19.4835317472

    653.250.1043344055176.1093942616-19.6314490861

    65.53.2750.102588761176.1451160417-19.778004304

    663.30.1008878353176.180143565-19.9232239224

    66.53.3250.0992300744176.2144977661-20.0671336623

    673.350.0976139925176.2481987241-20.2097584776

    67.53.3750.0960381688176.2812657067-20.3511225854

    683.40.0945012439176.3137172111-20.4912494959

    68.53.4250.0930019165176.3455710031-20.6301620404

    693.450.0915389402176.3768441534-20.7678823973

    69.53.4750.0901111213176.4075530713-20.9044321179

    703.50.0887173156176.4377135377-21.0398321504

    70.53.5250.0873564259176.4673407345-21.1741028624

    713.550.0860273999176.4964492739-21.3072640629

    71.53.5750.0847292279176.5250532249-21.4393350233

    723.60.0834609407176.5531661389-21.5703344966

    72.53.6250.0822216075176.5808010735-21.700280737

    733.650.0810103343176.6079706152-21.8291915173

    73.53.6750.0798262619176.6346869009-21.9570841463

    743.70.0786685645176.6609616379-22.0839754854

    74.53.7250.077536448176.6868061235-22.2098819639

    753.750.0764291484176.7122312623-22.3348195945

    75.53.7750.0753459305176.7372475842-22.4588039872

    763.80.0742860869176.7618652601-22.5818503632

    76.53.8250.0732489362176.7860941176-22.703973568

    773.850.0722338222176.8099436554-22.825188084

    77.53.8750.0712401127176.8334230572-22.9455080425

    783.90.0702671984176.8565412052-23.0649472354

    78.53.9250.0693144918176.8793066921-23.183519126

    793.950.0683814266176.901727833-23.3012368599

    79.53.9750.0674674563176.9238126774-23.4181132747

    8040.0665720536176.9455690189-23.5341609105

    80.54.0250.0656947099176.9670044062-23.6493920186

    814.050.0648349338176.9881261526-23.7638185708

    81.54.0750.0639922509177.008941345-23.8774522681

    824.10.0631662031177.0294568533-23.9903045488

    82.54.1250.0623563477177.049679338-24.1023865968

    834.150.0615622569177.0696152591-24.213709349

    83.54.1750.060783517177.089270883-24.3242835027

    844.20.0600197281177.1086522903-24.434119523

    84.54.2250.0592705036177.1277653826-24.5432276494

    854.250.0585354693177.1466158889-24.6516179025

    85.54.2750.0578142632177.1652093724-24.75930009

    864.30.057106535177.1835512362-24.8662838136

    86.54.3250.0564119453177.2016467296-24.972578474

    874.350.0557301659177.2195009528-25.0781932772

    87.54.3750.0550608787177.237118863-25.1831372397

    884.40.0544037756177.2545052793-25.287419194

    88.54.4250.0537585579177.2716648873-25.3910477934

    894.450.0531249365177.2886022438-25.4940315172

    89.54.4750.0525026309177.3053217817-25.5963786752

    904.50.0518913691177.3218278138-25.6980974124

    90.54.5250.0512908876177.3381245369-25.7991957138

    914.550.0507009305177.3542160361-25.8996814078

    91.54.5750.0501212498177.3701062882-25.9995621713

    924.60.0495516047177.3857991658-26.0988455331

    92.54.6250.0489917616177.4012984399-26.1975388779

    934.650.0484414938177.4166077841-26.2956494501

    93.54.6750.0479005811177.4317307775-26.3931843573

    944.70.0473688096177.4466709076-26.4901505741

    94.54.7250.0468459718177.4614315735-26.586554945

    954.750.0463318659177.4760160885-26.6824041881

    95.54.7750.0458262959177.490427683-26.7777048981

    964.80.0453290714177.5046695071-26.8724635493

    96.54.8250.0448400073177.5187446332-26.9666864987

    974.850.0443589237177.5326560581-27.0603799888

    97.54.8750.0438856457177.5464067057-27.1535501506

    984.90.0434200031177.5599994292-27.2462030059

    98.54.9250.0429618304177.5734370129-27.3383444703

    994.950.0425109668177.5867221748-27.4299803555

    99.54.9750.0420672557177.5998575683-27.5211163721

    10050.0416305447177.6128457842-27.6117581316

    100.55.0250.0412006856177.6256893525-27.7019111487

    1015.050.0407775339177.6383907444-27.7915808442

    101.55.0750.0403609493177.6509523737-27.8807725462

    1025.10.0399507949177.663376599-27.9694914933

    102.55.1250.0395469376177.6756657247-28.0577428356

    1035.150.0391492474177.6878220028-28.1455316375

    103.55.1750.0387575982177.6998476348-28.2328628793

    1045.20.0383718667177.7117447723-28.3197414592

    104.55.2250.037991933177.7235155194-28.4061721949

    1055.250.0376176801177.7351619333-28.4921598258

    105.55.2750.0372489941177.7466860257-28.5777090143

    1065.30.0368857639177.7580897645-28.6628243478

    106.55.3250.0365278813177.7693750746-28.7475103401

    1075.350.0361752406177.7805438392-28.8317714332

    107.55.3750.0358277389177.7915979011-28.9156119988

    1085.40.0354852756177.8025390635-28.9990363397

    108.55.4250.035147753177.8133690912-29.0820486913

    1095.450.0348150753177.8240897119-29.1646532231

    109.55.4750.0344871494177.8347026166-29.2468540401

    1105.50.0341638842177.8452094613-29.3286551841

    110.55.5250.0338451909177.8556118673-29.4100606349

    1115.550.0335309829177.8659114223-29.4910743118

    111.55.5750.0332211756177.8761096817-29.5717000748

    1125.60.0329156862177.8862081687-29.6519417256

    112.55.6250.0326144343177.8962083756-29.7318030091

    1135.650.0323173409177.9061117647-29.8112876144

    113.55.6750.0320243292177.9159197687-29.8903991757

    1145.70.031735324177.9256337915-29.9691412739

    114.55.7250.0314502519177.9352552095-30.0475174373

    1155.750.0311690412177.9447853712-30.1255311427

    115.55.7750.0308916218177.9542255992-30.2031858165

    1165.80.0306179252177.9635771897-30.2804848355

    116.55.8250.0303478846177.9728414138-30.3574315282

    1175.850.0300814344177.982019518-30.4340291753

    117.55.8750.0298185108177.9911127247-30.5102810112

    1185.90.0295590511178.000122233-30.5861902243

    118.55.9250.0293029944178.0090492187-30.6617599581

    1195.950.0290502808178.0178948358-30.7369933122

    119.55.9750.0288008518178.0266602161-30.8118933431

    12060.0285546504178.0353464703-30.8864630647

    120.56.0250.0283116205178.0439546883-30.9607054495

    1216.050.0280717074178.0524859396-31.0346234292

    121.56.0750.0278348577178.0609412741-31.1082198954

    1226.10.0276010189178.0693217222-31.1814977003

    122.56.1250.0273701399178.0776282954-31.2544596577

    1236.150.0271421704178.0858619868-31.3271085434

    123.56.1750.0269170614178.0940237715-31.399447096

    1246.20.0266947648178.1021146069-31.4714780177

    124.56.2250.0264752336178.1101354331-31.5432039748

    1256.250.0262584218178.1180871737-31.6146275982

    125.56.2750.0260442842178.1259707355-31.6857514845

    1266.30.0258327767178.1337870094-31.7565781961

    126.56.3250.0256238561178.1415368706-31.8271102622

    1276.350.02541748178.1492211787-31.897350179

    127.56.3750.025213607178.1568407786-31.9673004107

    1286.40.0250121964178.1643965004-32.0369633898

    128.56.4250.0248132085178.1718891596-32.1063415175

    1296.450.0246166041178.1793195579-32.1754371646

    129.56.4750.0244223452178.1866884832-32.2442526719

    1306.50.0242303944178.1939967098-32.3127903506

    130.56.5250.0240407148178.2012449991-32.3810524829

    1316.550.0238532705178.2084340993-32.4490413224

    131.56.5750.0236680264178.2155647463-32.5167590946

    1326.60.0234849478178.2226376634-32.5842079977

    132.56.6250.023304001178.229653562-32.6513902026

    1336.650.0231251526178.2366131415-32.7183078533

    133.56.6750.0229483702178.2435170899-32.7849630679

    1346.70.0227736217178.2503660839-32.8513579387

    134.56.7250.022600876178.2571607888-32.9174945323

    1356.750.0224301024178.2639018593-32.9833748908

    135.56.7750.0222612706178.2705899393-33.0490010314

    1366.80.0220943512178.2772256625-33.1143749473

    136.56.8250.0219293152178.2838096522-33.1794986079

    1376.850.0217661342178.2903425216-33.2443739592

    137.56.8750.0216047803178.2968248744-33.3090029242

    1386.90.0214452261178.3032573043-33.3733874033

    138.56.9250.0212874449178.309640396-33.4375292746

    1396.950.0211314102178.3159747247-33.5014303943

    139.56.9750.0209770962178.3222608565-33.565092597

    14070.0208244776178.328499349-33.628517696

    140.57.0250.0206735294178.3346907507-33.6917074837

    1417.050.0205242272178.3408356019-33.754663732

    141.57.0750.020376547178.3469344343-33.8173881924

    1427.10.0202304652178.3529877716-33.8798825966

    142.57.1250.0200859588178.3589961293-33.9421486565

    1437.150.0199430049178.3649600152-34.0041880648

    143.57.1750.0198015814178.3708799292-34.0660024949

    1447.20.0196616663178.3767563639-34.1275936018

    144.57.2250.019523238178.3825898042-34.1889630216

    1457.250.0193862756178.3883807277-34.2501123726

    145.57.2750.0192507581178.3941296051-34.3110432548

    1467.30.0191166653178.3998368999-34.3717572508

    146.57.3250.0189839772178.4055030687-34.4322559257

    1477.350.018852674178.4111285615-34.4925408274

    147.57.3750.0187227365178.4167138215-34.5526134871

    1487.40.0185941457178.4222592855-34.6124754191

    148.57.4250.0184668828178.4277653838-34.6721281215

    1497.450.0183409297178.4332325406-34.7315730762

    149.57.4750.0182162682178.4386611739-34.790811749

    1507.50.0180928807178.4440516955-34.8498455903

    150.57.5250.0179707498178.4494045114-34.9086760347

    1517.550.0178498584178.4547200218-34.967304502

    151.57.5750.0177301896178.4599986212-35.0257323964

    1527.60.017611727178.4652406984-35.0839611079

    152.57.6250.0174944543178.4704466367-35.1419920113

    1537.650.0173783555178.475616814-35.1998264674

    153.57.6750.0172634149178.4807516029-35.2574658228

    1547.70.0171496172178.4858513707-35.3149114098

    154.57.7250.017036947178.4909164797-35.3721645473

    1557.750.0169253895178.4959472871-35.4292265402

    155.57.7750.0168149301178.5009441451-35.4860986803

    1567.80.0167055542178.5059074011-35.5427822459

    156.57.8250.0165972477178.5108373976-35.5992785026

    1577.850.0164899966178.5157344725-35.6555887027

    157.57.8750.0163837871178.5205989591-35.7117140862

    1587.90.0162786058178.5254311862-35.7676558803

    158.57.9250.0161744393178.5302314779-35.8234152999

    1597.950.0160712746178.5350001541-35.8789935479

    159.57.9750.0159690989178.5397375305-35.934391815

    16080.0158678993178.5444439183-35.98961128

    160.58.0250.0157676636178.5491196248-36.0446531102

    1618.050.0156683793178.5537649529-36.0995184611

    161.58.0750.0155700345178.5583802018-36.1542084771

    1628.10.0154726174178.5629656665-36.2087242911

    162.58.1250.0153761161178.5675216382-36.2630670251

    1638.150.0152805192178.5720484043-36.3172377901

    163.58.1750.0151858154178.5765462484-36.3712376861

    1648.20.0150919935178.5810154503-36.4250678028

    164.58.2250.0149990426178.5854562863-36.4787292191

    1658.250.0149069519178.5898690291-36.5322230037

    165.58.2750.0148157107178.5942539479-36.5855502149

    1668.30.0147253086178.5986113083-36.6387119009

    166.58.3250.0146357353178.6029413725-36.6917091

    1678.350.0145469805178.6072443996-36.7445428405

    167.58.3750.0144590345178.611520645-36.7972141413

    1688.40.0143718872178.6157703613-36.8497240112

    168.58.4250.014285529178.6199937974-36.9020734498

    1698.450.0141999504178.6241911996-36.9542634475

    169.58.4750.014115142178.6283628106-37.006294985

    1708.50.0140310945178.6325088704-37.0581690342

    170.58.5250.0139477987178.6366296158-37.1098865579

    1718.550.0138652458178.6407252808-37.1614485099

    171.58.5750.0137834269178.6447960964-37.2128558354

    1728.60.0137023333178.6488422908-37.2641094707

    172.58.6250.0136219563178.6528640893-37.3152103437

    1738.650.0135422876178.6568617145-37.3661593737

    173.58.6750.0134633187178.6608353863-37.4169574716

    1748.70.0133850415178.6647853217-37.4676055402

    174.58.7250.013307448178.6687117354-37.518104474

    1758.750.01323053178.6726148392-37.5684551595

    175.58.7750.0131542798178.6764948426-37.6186584751

    1768.80.0130786897178.6803519522-37.6687152914

    176.58.8250.0130037519178.6841863725-37.7186264714

    1778.850.0129294591178.6879983054-37.7683928701

    177.58.8750.0128558037178.6917879502-37.8180153351

    1788.90.0127827785178.6955555042-37.8674947065

    178.58.9250.0127103763178.699301162-37.916831817

    1798.950.01263859178.7030251162-37.9660274917

    179.58.9750.0125674126178.7067275569-38.0150825489

    18090.0124968371178.710408672-38.0639977993

    180.59.0250.0124268569178.7140686472-38.1127740469

    1819.050.0123574652178.7177076663-38.1614120886

    181.59.0750.0122886554178.7213259104-38.2099127142

    1829.10.0122204209178.7249235591-38.258276707

    182.59.1250.0121527554178.7285007894-38.3065048432

    1839.150.0120856526178.7320577767-38.3545978926

    183.59.1750.0120191061178.735594694-38.4025566183

    1849.20.0119531099178.7391117126-38.450381777

    184.59.2250.0118876578178.7426090017-38.4980741188

    1859.250.0118227439178.7460867285-38.5456343874

    185.59.2750.0117583622178.7495450585-38.5930633204

    1869.30.011694507178.7529841551-38.6403616491

    186.59.3250.0116311725178.7564041801-38.6875300985

    1879.350.011568353178.7598052932-38.7345693878

    187.59.3750.0115060429178.7631876525-38.7814802299

    1889.40.0114442367178.7665514142-38.8282633319

    188.59.4250.0113829291178.7698967329-38.8749193951

    1899.450.0113221145178.7732237614-38.9214491147

    189.59.4750.0112617878178.7765326507-38.9678531805

    1909.50.0112019437178.7798235503-39.0141322763

    190.59.5250.0111425771178.783096608-39.0602870805

    1919.550.0110836828178.7863519698-39.1063182658

    191.59.5750.0110252558178.7895897803-39.1522264995

    1929.60.0109672913178.7928101825-39.1980124435

    192.59.6250.0109097843178.7960133178-39.243676754

    1939.650.0108527299178.7991993259-39.2892200823

    193.59.6750.0107961236178.8023683453-39.3346430743

    1949.70.0107399604178.8055205128-39.3799463704

    194.59.7250.0106842359178.8086559636-39.4251306063

    1959.750.0106289455178.8117748317-39.4701964123

    195.59.7750.0105740846178.8148772496-39.5151444138

    1969.80.0105196487178.8179633482-39.5599752311

    196.59.8250.0104656336178.8210332573-39.6046894797

    1979.850.0104120348178.824087105-39.6492877701

    197.59.8750.0103588481178.8271250182-39.6937707081

    1989.90.0103060692178.8301471226-39.7381388946

    198.59.9250.010253694178.8331535423-39.7823929258

    1999.950.0102017184178.8361444001-39.8265333932

    199.59.9750.0101501382178.8391198178-39.8705608839

    200100.0100989495178.8420799157-39.91447598

    200.510.0250.0100481483178.8450248129-39.9582792595

    20110.050.0099977307178.8479546271-40.0019712956

    201.510.0750.0099476928178.8508694751-40.0455526573

    20210.10.0098980309178.8537694722-40.0890239089

    202.510.1250.0098487411178.8566547326-40.1323856108

    20310.150.0097998197178.8595253694-40.1756383186

    203.510.1750.009751263178.8623814945-40.218782584

    20410.20.0097030675178.8652232186-40.2618189544

    204.510.2250.0096552295178.8680506512-40.304747973

    20510.250.0096077455178.8708639009-40.3475701788

    205.510.2750.009560612178.8736630749-40.3902861069

    20610.30.0095138256178.8764482797-40.4328962882

    206.510.3250.0094673828178.8792196204-40.4754012497

    20710.350.0094212803178.8819772012-40.5178015143

    207.510.3750.0093755147178.8847211251-40.560097601

    20810.40.0093300828178.8874514942-40.6022900252

    208.510.4250.0092849813178.8901684095-40.644379298

    20910.450.0092402071178.8928719711-40.6863659271

    209.510.4750.0091957568178.895562278-40.7282504162

    21010.50.0091516275178.8982394283-40.7700332653

    210.510.5250.0091078161178.9009035189-40.8117149708

    21110.550.0090643194178.9035546462-40.8532960254

    211.510.5750.0090211344178.9061929051-40.894776918

    21210.60.0089782583178.9088183899-40.9361581343

    212.510.6250.0089356879178.911431194-40.9774401561

    21310.650.0088934205178.9140314096-41.0186234618

    213.510.6750.0088514531178.9166191285-41.0597085264

    21410.70.008809783178.919194441-41.1006958213

    214.510.7250.0087684072178.9217574369-41.1415858147

    21510.750.008727323178.9243082051-41.1823789712

    215.510.7750.0086865278178.9268468336-41.2230757521

    21610.80.0086460187178.9293734095-41.2636766155

    216.510.8250.0086057931178.9318880191-41.3041820162

    21710.850.0085658483178.9343907479-41.3445924057

    217.510.8750.0085261818178.9368816805-41.3849082321

    21810.90.0084867909178.9393609008-41.4251299407

    218.510.9250.0084476731178.9418284919-41.4652579732

    21910.950.0084088259178.9442845359-41.5052927687

    219.510.9750.0083702468178.9467291145-41.5452347626

    220110.0083319332178.9491623082-41.5850843877

    220.511.0250.0082938828178.951584197-41.6248420736

    22111.050.0082560932178.9539948602-41.6645082467

    221.511.0750.008218562178.9563943762-41.7040833308

    22211.10.0081812867178.9587828227-41.7435677465

    222.511.1250.0081442652178.9611602767-41.7829619114

    22311.150.008107495178.9635268145-41.8222662404

    223.511.1750.0080709739178.9658825117-41.8614811454

    22411.20.0080346997178.968227443-41.9006070354

    224.511.2250.0079986701178.9705616827-41.9396443168

    22511.250.0079628829178.9728853044-41.9785933931

    225.511.2750.007927336178.9751983807-42.0174546648

    22611.30.0078920272178.9775009838-42.05622853

    226.511.3250.0078569544178.9797931853-42.0949153839

    22711.350.0078221154178.9820750559-42.1335156191

    227.511.3750.0077875082178.9843466658-42.1720296253

    22811.40.0077531308178.9866080846-42.21045779

    228.511.4250.0077189811178.9888593812-42.2488004975

    22911.450.007685057178.9911006239-42.2870581301

    229.511.4750.0076513567178.9933318803-42.325231067

    23011.50.007617878178.9955532175-42.3633196853

    230.511.5250.0075846192178.997764702-42.4013243591

    23111.550.0075515783178.9999663997-42.4392454605

    231.511.5750.0075187532179.0021583757-42.4770833588

    23211.60.0074861423179.0043406949-42.5148384208

    232.511.6250.0074537436179.0065134212-42.5525110111

    23311.650.0074215553179.0086766183-42.5901014916

    233.511.6750.0073895755179.0108303492-42.6276102222

    23411.70.0073578024179.0129746762-42.66503756

    234.511.7250.0073262344179.0151096612-42.70238386

    23511.750.0072948695179.0172353656-42.7396494748

    235.511.7750.0072637061179.0193518502-42.7768347547

    23611.80.0072327424179.0214591751-42.8139400477

    236.511.8250.0072019768179.0235574002-42.8509656995

    23711.850.0071714074179.0256465846-42.8879120535

    237.511.8750.0071410328179.027726787-42.9247794511

    23811.90.0071108512179.0297980656-42.9615682313

    238.511.9250.0070808609179.0318604782-42.9982787309

    23911.950.0070510604179.0339140817-43.0349112845

    239.511.9750.0070214481179.035958933-43.0714662248

    240120.0069920223179.0379950883-43.107943882

    240.512.0250.0069627816179.0400226032-43.1443445843

    24112.050.0069337243179.0420415329-43.1806686581

    241.512.0750.0069048489179.0440519324-43.2169164273

    24212.10.0068761539179.0460538557-43.2530882139

    242.512.1250.0068476378179.0480473568-43.2891843379

    24312.150.0068192992179.0500324891-43.3252051173

    243.512.1750.0067911365179.0520093054-43.3611508679

    24412.20.0067631482179.0539778582-43.3970219037

    244.512.2250.006735333179.0559381996-43.4328185366

    24512.250.0067076894179.0578903812-43.4685410766

    245.512.2750.006680216179.0598344541-43.5041898317

    24612.30.0066529115179.061770469-43.5397651081

    246.512.3250.0066257743179.0636984762-43.5752672099

    24712.350.0065988032179.0656185257-43.6106964395

    247.512.3750.0065719968179.0675306669-43.6460530973

    24812.40.0065453538179.0694349488-43.6813374818

    248.512.4250.0065188728179.0713314202-43.7165498897

    24912.450.0064925525179.0732201291-43.7516906159

    249.512.4750.0064663916179.0751011236-43.7867599535

    25012.50.0064403889179.076974451-43.8217581936

    250.512.5250.006414543179.0788401584-43.8566856258

    25112.550.0063888527179.0806982924-43.8915425378

    251.512.5750.0063633167179.0825488995-43.9263292154

    25212.60.0063379339179.0843920254-43.9610459429

    252.512.6250.0063127029179.0862277158-43.9956930026

    25312.650.0062876226179.0880560157-44.0302706754

    253.512.6750.0062626918179.08987697-44.0647792402

    25412.70.0062379092179.0916906232-44.0992189743

    254.512.7250.0062132738179.0934970192-44.1335901536

    25512.750.0061887843179.0952962019-44.1678930518

    255.512.7750.0061644396179.0970882146-44.2021279415

    25612.80.0061402386179.0988731003-44.2362950932

    256.512.8250.00611618179.1006509017-44.2703947762

    25712.850.0060922629179.1024216611-44.3044272578

    257.512.8750.0060684861179.1041854206-44.338392804

    25812.90.0060448484179.1059422217-44.3722916791

    258.512.9250.0060213489179.1076921058-44.4061241458

    25912.950.0059979864179.1094351139-44.4398904652

    259.512.9750.0059747599179.1111712867-44.4735908971

    260130.0059516682179.1129006646-44.5072256994

    260.513.0250.0059287105179.1146232875-44.5407951288

    26113.050.0059058856179.1163391952-44.5742994403

    261.513.0750.0058831925179.1180484271-44.6077388876

    26213.10.0058606301179.1197510222-44.6411137226

    262.513.1250.0058381976179.1214470195-44.6744241959

    26313.150.0058158939179.1231364573-44.7076705568

    263.513.1750.0057937179179.1248193738-44.7408530528

    26413.20.0057716688179.126495807-44.7739719303

    264.513.2250.0057497456179.1281657945-44.8070274341

    26513.250.0057279472179.1298293734-44.8400198075

    265.513.2750.0057062729179.1314865809-44.8729492926

    26613.30.0056847215179.1331374537-44.9058161299

    266.513.3250.0056632922179.1347820283-44.9386205587

    26713.350.0056419841179.1364203407-44.9713628167

    267.513.3750.0056207963179.1380524269-45.0040431406

    26813.40.0055997277179.1396783224-45.0366617654

    268.513.4250.0055787777179.1412980628-45.0692189248

    26913.450.0055579452179.1429116829-45.1017148513

    269.513.4750.0055372293179.1445192176-45.1341497761

    27013.50.0055166293179.1461207014-45.1665239289

    270.513.5250.0054961443179.1477161687-45.1988375383

    27113.550.0054757733179.1493056534-45.2310908314

    271.513.5750.0054555156179.1508891892-45.2632840342

    27213.60.0054353702179.1524668098-45.2954173713

    272.513.6250.0054153365179.1540385483-45.3274910662

    27313.650.0053954135179.1556044378-45.3595053409

    273.513.6750.0053756004179.1571645109-45.3914604164

    27413.70.0053558965179.1587188003-45.4233565123

    274.513.7250.0053363009179.1602673381-45.4551938471

    27513.750.0053168128179.1618101565-45.4869726379

    275.513.7750.0052974314179.1633472871-45.5186931008

    27613.80.0052781561179.1648787615-45.5503554506

    276.513.8250.0052589859179.1664046111-45.5819599008

    27713.850.0052399201179.167924867-45.613506664

    277.513.8750.005220958179.1694395599-45.6449959513

    27813.90.0052020989179.1709487206-45.676427973

    278.513.9250.0051833419179.1724523794-45.7078029378

    27913.950.0051646863179.1739505664-45.7391210537

    279.513.9750.0051461314179.1754433118-45.7703825272

    280140.0051276765179.1769306451-45.8015875639

    280.514.0250.0051093209179.1784125959-45.8327363683

    28114.050.0050910638179.1798891936-45.8638291435

    281.514.0750.0050729046179.1813604671-45.8948660918

    28214.10.0050548425179.1828264455-45.9258474143

    282.514.1250.0050368769179.1842871573-45.9567733109

    28314.150.005019007179.185742631-45.9876439806

    283.514.1750.0050012322179.187192895-46.0184596212

    28414.20.0049835518179.1886379771-46.0492204295

    284.514.2250.0049659652179.1900779054-46.0799266012

    278.513.9250.0051833419179.1724523794-45.7078029378

    27913.950.0051646863179.1739505664-45.7391210537

    279.513.9750.0051461314179.1754433118-45.7703825272

    280140.0051276765179.1769306451-45.8015875639

    280.514.0250.0051093209179.1784125959-45.8327363683

    28114.050.0050910638179.1798891936-45.8638291435

    281.514.0750.0050729046179.1813604671-45.8948660918

    28214.10.0050548425179.1828264455-45.9258474143

    282.514.1250.0050368769179.1842871573-45.9567733109

    28314.150.005019007179.185742631-45.9876439806

    283.514.1750.0050012322179.187192895-46.0184596212

    28414.20.0049835518179.1886379771-46.0492204295

    284.514.2250.0049659652179.1900779054-46.0799266012

    28514.250.0049484716179.1915127073-46.110578331

    285.514.2750.0049310705179.1929424105-46.1411758125

    28614.30.0049137611179.1943670421-46.1717192383

    286.514.3250.0048965429179.1957866293-46.2022087999

    28714.350.0048794151179.1972011988-46.2326446879

    287.514.3750.0048623772179.1986107774-46.2630270918

    28814.40.0048454285179.2000153915-46.2933562001

    288.514.4250.0048285684179.2014150675-46.3236322004

    28914.450.0048117963179.2028098314-46.3538552792

    289.514.4750.0047951116179.2041997092-46.3840256219

    29014.50.0047785136179.2055847267-46.4141434132

    290.514.5250.0047620018179.2069649094-46.4442088367

    29114.550.0047455756179.2083402826-46.474222075

    291.514.5750.0047292343179.2097108716-46.5041833097

    29214.60.0047129775179.2110767015-46.5340927215

    292.514.6250.0046968044179.212437797-46.5639504904

    29314.650.0046807146179.213794183-46.5937567949

    293.514.6750.0046647074179.2151458837-46.6235118132

    29414.70.0046487824179.2164929237-46.6532157221

    294.514.7250.0046329388179.2178353271-46.6828686977

    29514.750.0046171763179.2191731178-46.7124709152

    295.514.7750.0046014941179.2205063198-46.7420225488

    29614.80.0045858919179.2218349566-46.7715237718

    296.514.8250.004570369179.2231590519-46.8009747567

    29714.850.0045549249179.2244786289-46.8303756751

    297.514.8750.004539559179.2257937108-46.8597266976

    29814.90.0045242709179.2271043207-46.889027994

    298.514.9250.00450906179.2284104815-46.9182797333

    29914.950.0044939258179.2297122157-46.9474820835

    299.514.9750.0044788678179.2310095461-46.9766352119

    300150.0044638854179.232302495-47.0057392849

    Hoja1

    20 log |H|

    Hoja2

    Hoja3

    fase de H

    fase de H

    fase de H

  • Diagramas de BodeMetodologa General (primer ejemplo)ASL/RAD/2001Paso 5-A: Iniciar grfica con recta horizontal en 0 dB desde la izquierda

    Grfico4

    valor de w

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    20,5

    21

    21,5

    22

    22,5

    23

    23,5

    24

    24,5

    25

    25,5

    26

    26,5

    27

    27,5

    28

    28,5

    29

    29,5

    30

    30,5

    31

    31,5

    32

    32,5

    33

    33,5

    34

    34,5

    35

    35,5

    36

    36,5

    37

    37,5

    38

    38,5

    39

    39,5

    40

    40,5

    41

    41,5

    42

    42,5

    43

    43,5

    44

    44,5

    45

    45,5

    46

    46,5

    47

    47,5

    48

    48,5

    49

    49,5

    50

    50,5

    51

    51,5

    52

    52,5

    53

    53,5

    54

    54,5

    55

    55,5

    56

    56,5

    57

    57,5

    58

    58,5

    59

    59,5

    60

    60,5

    61

    61,5

    62

    62,5

    63

    63,5

    64

    64,5

    65

    65,5

    66

    66,5

    67

    67,5

    68

    68,5

    69

    69,5

    70

    70,5

    71

    71,5

    72

    72,5

    73

    73,5

    74

    74,5

    75

    75,5

    76

    76,5

    77

    77,5

    78

    78,5

    79

    79,5

    80

    80,5

    81

    81,5

    82

    82,5

    83

    83,5

    84

    84,5

    85

    85,5

    86

    86,5

    87

    87,5

    88

    88,5

    89

    89,5

    90

    90,5

    91

    91,5

    92

    92,5

    93

    93,5

    94

    94,5

    95

    95,5

    96

    96,5

    97

    97,5

    98

    98,5

    99

    99,5

    100

    100,5

    101

    101,5

    102

    102,5

    103

    103,5

    104

    104,5

    105

    105,5

    106

    106,5

    107

    107,5

    108

    108,5

    109

    109,5

    110

    110,5

    111

    111,5

    112

    112,5

    113

    113,5

    114

    114,5

    115

    115,5

    116

    116,5

    117

    117,5

    118

    118,5

    119

    119,5

    Hoja1

    valor de wn=valor de ww/wnmagnitud de Hfase de H20 log |H|

    20001000

    0.50.0251.00061286760.2868010630.00532167010

    -0.110.051.00245589260.57466586930.02130546060

    1.50.0751.00554241910.86467117360.04800792350

    2020.11.00989495111.15792008430.085524020

    2.50.1251.01554555591.45555608170.13398819970

    30.151.0225364481.7587780870.19357594480

    3.50.1751.03092077312.06885700310.26450581540

    40.21.04076361782.38715421580.34704204190

    4.50.2251.05214328172.71514263520.44149772850

    50.251.06515285833.05443098110.54823874260

    5.50.2751.07990218393.40679218120.66768838870

    60.31.09652023193.77419696640.80033298520

    6.50.3251.1151580524.15885403990.94672849120

    70.351.13599237984.56325858081.10750836290

    7.50.3751.15923008314.99025135981.28339285930

    80.41.18511365785.44309144641.47520006360

    8.50.4251.21392805185.92554643421.6838589470

    90.451.24600918396.44200542331.9104248670

    9.50.4751.28175464136.99762181052.15609797470

    100.51.32163720097.5984954822.42224508990

    10.50.5251.36622203358.25190761112.71042570090

    110.551.41618875298.966626433.02242281940

    11.50.5751.47235987349.75330983933.36027946010

    120.61.535737792110.62504171953.72634143410

    12.50.6251.607553149811.598055134.12330681410

    130.651.6893283812.69272007384.55428156170

    13.50.6751.78296140413.93491058245.02283884110

    140.71.890835584215.35792230455.53307533630

    14.50.7252.015962525617.00519756096.08964909650

    150.752.162162162218.93424327056.69776525850

    15.50.7752.334274476821.22231115417.36303842880

    160.82.538365412823.97464309698.09108283080

    16.50.8252.781801091427.33627460498.88652146360

    170.853.072834744531.50813440619.75078409480

    17.50.8753.418795614236.766109803710.67746276310

    180.93.820803599543.473881706311.64309428510

    18.50.9254.261336700352.057721317212.5909170080

    190.954.682608166562.866885774613.4097563640

    19.50.9754.971318033875.829491675713.92943094930

    20159013.97940008670

    20.51.0254.7357801891103.833105699313.5078307288

    211.054.2793600054115.984329724112.6275764694

    21.51.0753.7677108197125.870977312711.5215512463

    221.13.2879797461133.644279771510.3385826726

    22.51.1252.8726425303139.71301454599.1656317208

    231.152.5245261781144.48635481798.0435975695

    23.51.1752.235506988148.29251202956.9875206356

    241.21.9952172112151.37502869355.9998036493

    24.51.2251.7941718894153.91019013115.0772809595

    251.251.6245538642156.02535690314.2146823105

    25.51.2751.4801718094157.81331623543.4062425717

    261.31.3561893622159.34253672152.64640667

    26.51.3251.2488354764160.66427294261.9301045498

    271.351.1551578789161.81745614791.2528268924

    27.51.3751.0728292944162.83207685810.6106124746

    281.41163.73154787980

    28.51.4250.9351869933164.5343755695-0.5820308406

    291.450.8771908732165.2553575902-1.1381179126

    29.51.4750.8250333258165.9064528306-1.6705701704

    301.50.7779098416166.4974214873-2.1814146816

    30.51.5250.7351536981167.0363019414-2.6724370748

    311.550.6962083098167.5297702705-3.1452159472

    31.51.5750.6606058287167.9834143242-3.6011519749

    321.60.6279504491168.40194487-4.0414924921

    32.51.6250.5979052787168.7893598695-4.4673522459

    331.650.570181934169.1490734746-4.8797309455

    33.51.6750.544532234169.4840182031-5.2795281349

    341.70.5207415223169.7967265296-5.667555833

    34.51.7250.4986232609170.0893965395-6.0445493084

    351.750.4780146261170.3639451384-6.4111762958

    35.51.7750.4587728987170.6220514683-6.7680449056

    361.80.4407724872170.8651925596-7.1157104356

    36.51.8250.4239024603171.0946727825-7.4546812566

    371.850.4080644903171.3116483153-7.7854239162

    37.51.8750.3931711304171.5171475818-8.1083675777

    381.90.3791443646171.7120884079-8.4239078947

    38.51.9250.3659143824171.8972924947-8.7324104019

    391.950.3534185374172.0734976817-9.0342134938

    39.51.9750.3416004606172.2413683854-9.3296310471

    4020.3304093002172.401504518-9.6189547367

    40.52.0250.3197990694172.5544491411-9.9024560871

    412.050.3097280835172.7006950551-10.1803882937

    41.52.0750.3001584733172.8406904949-10.4529878441

    422.10.2910557622172.9748440688-10.7204759651

    42.52.1250.2823884985173.1035290555-10.9830599167

    432.150.2741279336173.2270871538-11.2409341527

    43.52.1750.2662477411173.3458317654-11.4942813635

    442.20.258723769173.4600508757-11.7432734146

    44.52.2250.2515338222173.5700095909-11.9880721944

    452.250.2446574704173.6759523758-12.2288303795

    45.52.2750.2380758774173.7781050346-12.4656921292

    462.30.2317716509173.8766764676-12.6987937149

    46.52.3250.2257287078173.9718602328-12.9282640929

    472.350.2199321545174.0638359372-13.1542254255

    47.52.3750.2143681807174.1527704796-13.3767935569

    482.40.209023963174.2388191625-13.596078448

    48.52.4250.2038875801174.3221266886-13.8121845741

    492.450.1989479349174.4028280568-14.0252112896

    49.52.4750.1941946861174.4810493684-14.2352531628

    502.50.1896181853174.5569085536-14.4424002833

    50.52.5250.1852094204174.6305160283-14.6467385456

    512.550.1809599654174.7019752883-14.8483499103

    51.52.5750.1768619332174.7713834475-15.0473126446

    522.60.1729079344174.838831727-15.2437015454

    52.52.6250.169091039174.9044058994-15.4375881453

    532.650.1654047415174.9681866931-15.6290409032

    53.52.6750.1618429295175.0302501618-15.8181253819

    542.70.1583998549175.0906680213-16.004904412

    54.52.7250.1550701074175.149507957-16.189438245

    552.750.1518485906175.2068339071-16.3717846952

    55.52.7750.1487304995175.26270632-16.5519992724

    562.80.1457113006175.3171823928-16.7301353051

    56.52.8250.1427867134175.3703162886-16.9062440563

    572.850.1399526926175.4221593377-17.0803748305

    57.52.8750.1372054133175.4727602227-17.2525750747

    582.90.1345412556175.5221651486-17.4228904727

    58.52.9250.1319567918175.5704180008-17.5913650332

    592.950.1294487739175.61756049-17.7580411727

    59.52.9750.127014122175.6636322878-17.922959793

    6030.1246499137175.7086711503-18.0861603543

    60.53.0250.1223533748175.7527130349-18.2476809436

    613.050.1201218696175.7957922065-18.4075583394

    61.53.0750.1179528928175.8379413381-18.5658280721

    623.10.1158440616175.8791916027-18.7225244812

    62.53.1250.1137931086175.9195727601-18.8776807696

    633.150.1117978746175.9591132368-19.0313290538

    63.53.1750.1098563029175.9978402011-19.1835004125

    643.20.107966433176.0357796327-19.3342249316

    64.53.2250.1061263952176.0729563882-19.4835317472

    653.250.1043344055176.1093942616-19.6314490861

    65.53.2750.102588761176.1451160417-19.778004304

    663.30.1008878353176.180143565-19.9232239224

    66.53.3250.0992300744176.2144977661-20.0671336623

    673.350.0976139925176.2481987241-20.2097584776

    67.53.3750.0960381688176.2812657067-20.3511225854

    683.40.0945012439176.3137172111-20.4912494959

    68.53.4250.0930019165176.3455710031-20.6301620404

    693.450.0915389402176.3768441534-20.7678823973

    69.53.4750.0901111213176.4075530713-20.9044321179

    703.50.0887173156176.4377135377-21.0398321504

    70.53.5250.0873564259176.4673407345-21.1741028624

    713.550.0860273999176.4964492739-21.3072640629

    71.53.5750.0847292279176.5250532249-21.4393350233

    723.60.0834609407176.5531661389-21.5703344966

    72.53.6250.0822216075176.5808010735-21.700280737

    733.650.0810103343176.6079706152-21.8291915173

    73.53.6750.0798262619176.6346869009-21.9570841463

    743.70.0786685645176.6609616379-22.0839754854

    74.53.7250.077536448176.6868061235-22.2098819639

    753.750.0764291484176.7122312623-22.3348195945

    75.53.7750.0753459305176.7372475842-22.4588039872

    763.80.0742860869176.7618652601-22.5818503632

    76.53.8250.0732489362176.7860941176-22.703973568

    773.850.0722338222176.8099436554-22.825188084

    77.53.8750.0712401127176.8334230572-22.9455080425

    783.90.0702671984176.8565412052-23.0649472354

    78.53.9250.0693144918176.8793066921-23.183519126

    793.950.0683814266176.901727833-23.3012368599

    79.53.9750.0674674563176.9238126774-23.4181132747

    8040.0665720536176.9455690189-23.5341609105

    80.54.0250.0656947099176.9670044062-23.6493920186

    814.050.0648349338176.9881261526-23.7638185708

    81.54.0750.0639922509177.008941345-23.8774522681

    824.10.0631662031177.0294568533-23.9903045488

    82.54.1250.0623563477177.049679338-24.1023865968

    834.150.0615622569177.0696152591-24.213709349

    83.54.1750.060783517177.089270883-24.3242835027

    844.20.0600197281177.1086522903-24.434119523

    84.54.2250.0592705036177.1277653826-24.5432276494

    854.250.0585354693177.1466158889-24.6516179025

    85.54.2750.0578142632177.1652093724-24.75930009

    864.30.057106535177.1835512362-24.8662838136

    86.54.3250.0564119453177.2016467296-24.972578474

    874.350.0557301659177.2195009528-25.0781932772

    87.54.3750.0550608787177.237118863-25.1831372397

    884.40.0544037756177.2545052793-25.287419194

    88.54.4250.0537585579177.2716648873-25.3910477934

    894.450.0531249365177.2886022438-25.4940315172

    89.54.4750.0525026309177.3053217817-25.5963786752

    904.50.0518913691177.3218278138-25.6980974124

    90.54.5250.0512908876177.3381245369-25.7991957138

    914.550.0507009305177.3542160361-25.8996814078

    91.54.5750.0501212498177.3701062882-25.9995621713

    924.60.0495516047177.3857991658-26.0988455331

    92.54.6250.0489917616177.4012984399-26.1975388779

    934.650.0484414938177.4166077841-26.2956494501

    93.54.6750.0479005811177.4317307775-26.3931843573

    944.70.0473688096177.4466709076-26.4901505741

    94.54.7250.0468459718177.4614315735-26.586554945

    954.750.0463318659177.4760160885-26.6824041881

    95.54.7750.0458262959177.490427683-26.7777048981

    964.80.0453290714177.5046695071-26.8724635493

    96.54.8250.0448400073177.5187446332-26.9666864987

    974.850.0443589237177.5326560581-27.0603799888

    97.54.8750.0438856457177.5464067057-27.1535501506

    984.90.0434200031177.5599994292-27.2462030059

    98.54.9250.0429618304177.5734370129-27.3383444703

    994.950.0425109668177.5867221748-27.4299803555

    99.54.9750.0420672557177.5998575683-27.5211163721

    10050.0416305447177.6128457842-27.6117581316

    100.55.0250.0412006856177.6256893525-27.7019111487

    1015.050.0407775339177.6383907444-27.7915808442

    101.55.0750.0403609493177.6509523737-27.8807725462

    1025.10.0399507949177.663376599-27.9694914933

    102.55.1250.0395469376177.6756657247-28.0577428356

    1035.150.0391492474177.6878220028-28.1455316375

    103.55.1750.0387575982177.6998476348-28.2328628793

    1045.20.0383718667177.7117447723-28.3197414592

    104.55.2250.037991933177.7235155194-28.4061721949

    1055.250.0376176801177.7351619333-28.4921598258

    105.55.2750.0372489941177.7466860257-28.5777090143

    1065.30.0368857639177.7580897645-28.6628243478

    106.55.3250.0365278813177.7693750746-28.7475103401

    1075.350.0361752406177.7805438392-28.8317714332

    107.55.3750.0358277389177.7915979011-28.9156119988

    1085.40.0354852756177.8025390635-28.9990363397

    108.55.4250.035147753177.8133690912-29.0820486913

    1095.450.0348150753177.8240897119-29.1646532231

    109.55.4750.0344871494177.8347026166-29.2468540401

    1105.50.0341638842177.8452094613-29.3286551841

    110.55.5250.0338451909177.8556118673-29.4100606349

    1115.550.0335309829177.8659114223-29.4910743118

    111.55.5750.0332211756177.8761096817-29.5717000748

    1125.60.0329156862177.8862081687-29.6519417256

    112.55.6250.0326144343177.8962083756-29.7318030091

    1135.650.0323173409177.9061117647-29.8112876144

    113.55.6750.0320243292177.9159197687-29.8903991757

    1145.70.031735324177.9256337915-29.9691412739

    114.55.7250.0314502519177.9352552095-30.0475174373

    1155.750.0311690412177.9447853712-30.1255311427

    115.55.7750.0308916218177.9542255992-30.2031858165

    1165.80.0306179252177.9635771897-30.2804848355

    116.55.8250.0303478846177.9728414138-30.3574315282

    1175.850.0300814344177.982019518-30.4340291753

    117.55.8750.0298185108177.9911127247-30.5102810112

    1185.90.0295590511178.000122233-30.5861902243

    118.55.9250.0293029944178.0090492187-30.6617599581

    1195.950.0290502808178.0178948358-30.7369933122

    119.55.9750.0288008518178.0266602161-30.8118933431

    12060.0285546504178.0353464703-30.8864630647

    120.56.0250.0283116205178.0439546883-30.9607054495

    1216.050.0280717074178.0524859396-31.0346234292

    121.56.0750.0278348577178.0609412741-31.1082198954

    1226.10.0276010189178.0693217222-31.1814977003

    122.56.1250.0273701399178.0776282954-31.2544596577

    1236.150.0271421704178.0858619868-31.3271085434

    123.56.1750.0269170614178.0940237715-31.399447096

    1246.20.0266947648178.1021146069-31.4714780177

    124.56.2250.0264752336178.1101354331-31.5432039748

    1256.250.0262584218178.1180871737-31.6146275982

    125.56.2750.0260442842178.1259707355-31.6857514845

    1266.30.0258327767178.1337870094-31.7565781961

    126.56.3250.0256238561178.1415368706-31.8271102622

    1276.350.02541748178.1492211787-31.897350179

    127.56.3750.025213607178.1568407786-31.9673004107

    1286.40.0250121964178.1643965004-32.0369633898

    128.56.4250.0248132085178.1718891596-32.1063415175

    1296.450.0246166041178.1793195579-32.1754371646

    129.56.4750.0244223452178.1866884832-32.2442526719

    1306.50.0242303944178.1939967098-32.3127903506

    130.56.5250.0240407148178.2012449991-32.3810524829

    1316.550.0238532705178.2084340993-32.4490413224

    131.56.5750.0236680264178.2155647463-32.5167590946

    1326.60.0234849478178.2226376634-32.5842079977

    132.56.6250.023304001178.229653562-32.6513902026

    1336.650.0231251526178.2366131415-32.7183078533

    133.56.6750.0229483702178.2435170899-32.7849630679

    1346.70.0227736217178.2503660839-32.8513579387

    134.56.7250.022600876178.2571607888-32.9174945323

    1356.750.0224301024178.2639018593-32.9833748908

    135.56.7750.0222612706178.2705899393-33.0490010314

    1366.80.0220943512178.2772256625-33.1143749473

    136.56.8250.0219293152178.2838096522-33.1794986079

    1376.850.0217661342178.2903425216-33.2443739592

    137.56.8750.0216047803178.2968248744-33.3090029242

    1386.90.0214452261178.3032573043-33.3733874033

    138.56.9250.0212874449178.309640396-33.4375292746

    1396.950.0211314102178.3159747247-33.5014303943

    139.56.9750.0209770962178.3222608565-33.565092597

    14070.0208244776178.328499349-33.628517696

    140.57.0250.0206735294178.3346907507-33.6917074837

    1417.050.0205242272178.3408356019-33.754663732

    141.57.0750.020376547178.3469344343-33.8173881924

    1427.10.0202304652178.3529877716-33.8798825966

    142.57.1250.0200859588178.3589961293-33.9421486565

    1437.150.0199430049178.3649600152-34.0041880648

    143.57.1750.0198015814178.3708799292-34.0660024949

    1447.20.0196616663178.3767563639-34.1275936018

    144.57.2250.019523238178.3825898042-34.1889630216

    1457.250.0193862756178.3883807277-34.2501123726

    145.57.2750.0192507581178.3941296051-34.3110432548

    1467.30.0191166653178.3998368999-34.3717572508

    146.57.3250.0189839772178.4055030687-34.4322559257

    1477.350.018852674178.4111285615-34.4925408274

    147.57.3750.0187227365178.4167138215-34.5526134871

    1487.40.0185941457178.4222592855-34.6124754191

    148.57.4250.0184668828178.4277653838-34.6721281215

    1497.450.0183409297178.4332325406-34.7315730762

    149.57.4750.0182162682178.4386611739-34.790811749

    1507.50.0180928807178.4440516955-34.8498455903

    150.57.5250.0179707498178.4494045114-34.9086760347

    1517.550.0178498584178.4547200218-34.967304502

    151.57.5750.0177301896178.4599986212-35.0257323964

    1527.60.017611727178.4652406984-35.0839611079

    152.57.6250.0174944543178.4704466367-35.1419920113

    1537.650.0173783555178.475616814-35.1998264674

    153.57.6750.0172634149178.4807516029-35.2574658228

    1547.70.0171496172178.4858513707-35.3149114098

    154.57.7250.017036947178.4909164797-35.3721645473

    1557.750.0169253895178.4959472871-35.4292265402

    155.57.7750.0168149301178.5009441451-35.4860986803

    1567.80.0167055542178.5059074011-35.5427822459

    156.57.8250.0165972477178.5108373976-35.5992785026

    1577.850.0164899966178.5157344725-35.6555887027

    157.57.8750.0163837871178.5205989591-35.7117140862

    1587.90.0162786058178.5254311862-35.7676558803

    158.57.9250.0161744393178.5302314779-35.8234152999

    1597.950.0160712746178.5350001541-35.8789935479

    159.57.9750.0159690989178.5397375305-35.934391815

    16080.0158678993178.5444439183-35.98961128

    160.58.0250.0157676636178.5491196248-36.0446531102

    1618.050.0156683793178.5537649529-36.0995184611

    161.58.0750.0155700345178.5583802018-36.1542084771

    1628.10.0154726174178.5629656665-36.2087242911

    162.58.1250.0153761161178.5675216382-36.2630670251

    1638.150.0152805192178.5720484043-36.3172377901

    163.58.1750.0151858154178.5765462484-36.3712376861

    1648.20.0150919935178.5810154503-36.4250678028

    164.58.2250.0149990426178.5854562863-36.4787292191

    1658.250.0149069519178.5898690291-36.5322230037

    165.58.2750.0148157107178.5942539479-36.5855502149

    1668.30.0147253086178.5986113083-36.6387119009

    166.58.3250.0146357353178.6029413725-36.6917091

    1678.350.0145469805178.6072443996-36.7445428405

    167.58.3750.0144590345178.611520645-36.7972141413

    1688.40.0143718872178.6157703613-36.8497240112

    168.58.4250.014285529178.6199937974-36.9020734498

    1698.450.0141999504178.6241911996-36.9542634475

    169.58.4750.014115142178.6283628106-37.006294985

    1708.50.0140310945178.6325088704-37.0581690342

    170.58.5250.0139477987178.6366296158-37.1098865579

    1718.550.0138652458178.6407252808-37.1614485099

    171.58.5750.0137834269178.6447960964-37.2128558354

    1728.60.0137023333178.6488422908-37.2641094707

    172.58.6250.0136219563178.6528640893-37.3152103437

    1738.650.0135422876178.6568617145-37.3661593737

    173.58.6750.0134633187178.6608353863-37.4169574716

    1748.70.0133850415178.6647853217-37.4676055402

    174.58.7250.013307448178.6687117354-37.518104474

    1758.750.01323053178.6726148392-37.5684551595

    175.58.7750.0131542798178.6764948426-37.6186584751

    1768.80.0130786897178.6803519522-37.6687152914

    176.58.8250.0130037519178.6841863725-37.7186264714

    1778.850.0129294591178.6879983054-37.7683928701

    177.58.8750.0128558037178.6917879502-37.8180153351

    1788.90.0127827785178.6955555042-37.8674947065

    178.58.9250.0127103763178.699301162-37.916831817

    1798.950.01263859178.7030251162-37.9660274917

    179.58.9750.0125674126178.7067275569-38.0150825489

    18090.0124968371178.710408672-38.0639977993

    180.59.0250.0124268569178.7140686472-38.1127740469

    1819.050.0123574652178.7177076663-38.1614120886

    181.59.0750.0122886554178.7213259104-38.2099127142

    1829.10.0122204209178.7249235591-38.258276707

    182.59.1250.0121527554178.7285007894-38.3065048432

    1839.150.0120856526178.7320577767-38.3545978926

    183.59.1750.0120191061178.735594694-38.4025566183

    1849.20.0119531099178.7391117126-38.450381777

    184.59.2250.0118876578178.7426090017-38.4980741188

    1859.250.0118227439178.7460867285-38.5456343874

    185.59.2750.0117583622178.7495450585-38.5930633204

    1869.30.011694507178.7529841551-38.6403616491

    186.59.3250.0116311725178.7564041801-38.6875300985

    1879.350.011568353178.7598052932-38.7345693878

    187.59.3750.0115060429178.7631876525-38.7814802299

    1889.40.0114442367178.7665514142-38.8282633319

    188.59.4250.0113829291178.7698967329-38.8749193951

    1899.450.0113221145178.7732237614-38.9214491147

    189.59.4750.0112617878178.7765326507-38.9678531805

    1909.50.0112019437178.7798235503-39.0141322763

    190.59.5250.0111425771178.783096608-39.0602870805

    1919.550.0110836828178.7863519698-39.1063182658

    191.59.5750.0110252558178.7895897803-39.1522264995

    1929.60.0109672913178.7928101825-39.1980124435

    192.59.6250.0109097843178.7960133178-39.243676754

    1939.650.0108527299178.7991993259-39.2892200823

    193.59.6750.0107961236178.8023683453-39.3346430743

    1949.70.0107399604178.8055205128-39.3799463704

    194.59.7250.0106842359178.8086559636-39.4251306063

    1959.750.0106289455178.8117748317-39.4701964123

    195.59.7750.0105740846178.8148772496-39.5151444138

    1969.80.0105196487178.8179633482-39.5599752311

    196.59.8250.0104656336178.8210332573-39.6046894797

    1979.850.0104120348178.824087105-39.6492877701

    197.59.8750.0103588481178.8271250182-39.6937707081

    1989.90.0103060692178.8301471226-39.7381388946

    198.59.9250.010253694178.8331535423-39.7823929258

    1999.950.0102017184178.8361444001-39.8265333932

    199.59.9750.0101501382178.8391198178-39.8705608839

    200100.0100989495178.8420799157-39.91447598

    200.510.0250.0100481483178.8450248129-39.9582792595

    20110.050.0099977307178.8479546271-40.0019712956

    201.510.0750.0099476928178.8508694751-40.0455526573

    20210.10.0098980309178.8537694722-40.0890239089

    202.510.1250.0098487411178.8566547326-40.1323856108

    20310.150.0097998197178.8595253694-40.1756383186

    203.510.1750.009751263178.8623814945-40.218782584

    20410.20.0097030675178.8652232186-40.2618189544

    204.510.2250.0096552295178.8680506512-40.304747973

    20510.250.0096077455178.8708639009-40.3475701788

    205.510.2750.009560612178.8736630749-40.3902861069

    20610.30.0095138256178.8764482797-40.4328962882

    206.510.3250.0094673828178.8792196204-40.4754012497

    20710.350.0094212803178.8819772012-40.5178015143

    207.510.3750.0093755147178.8847211251-40.560097601

    20810.40.0093300828178.8874514942-40.6022900252

    208.510.4250.0092849813178.8901684095-40.644379298

    20910.450.0092402071178.8928719711-40.6863659271

    209.510.4750.0091957568178.895562278-40.7282504162

    21010.50.0091516275178.8982394283-40.7700332653

    210.510.5250.0091078161178.9009035189-40.8117149708

    21110.550.0090643194178.9035546462-40.8532960254

    211.510.5750.0090211344178.9061929051-40.894776918

    21210.60.0089782583178.9088183899-40.9361581343

    212.510.6250.0089356879178.911431194-40.9774401561

    21310.650.0088934205178.9140314096-41.0186234618

    213.510.6750.0088514531178.9166191285-41.0597085264

    21410.70.008809783178.919194441-41.1006958213

    214.510.7250.0087684072178.9217574369-41.1415858147

    21510.750.008727323178.9243082051-41.1823789712

    215.510.7750.0086865278178.9268468336-41.2230757521

    21610.80.0086460187178.9293734095-41.2636766155

    216.510.8250.0086057931178.9318880191-41.3041820162

    21710.850.0085658483178.9343907479-41.3445924057

    217.510.8750.0085261818178.9368816805-41.3849082321

    21810.90.0084867909178.9393609008-41.4251299407

    218.510.9250.0084476731178.9418284919-41.4652579732

    21910.950.0084088259178.9442845359-41.5052927687

    219.510.9750.0083702468178.9467291145-41.5452347626

    220110.0083319332178.9491623082-41.5850843877

    220.511.0250.0082938828178.951584197-41.6248420736

    22111.050.0082560932178.9539948602-41.6645082467

    221.511.0750.008218562178.9563943762-41.7040833308

    22211.10.0081812867178.9587828227-41.7435677465

    222.511.1250.0081442652178.9611602767-41.7829619114

    22311.150.008107495178.9635268145-41.8222662404

    223.511.1750.0080709739178.9658825117-41.8614811454

    22411.20.0080346997178.968227443-41.9006070354

    224.511.2250.0079986701178.9705616827-41.9396443168

    22511.250.0079628829178.9728853044-41.9785933931

    225.511.2750.007927336178.9751983807-42.0174546648

    22611.30.0078920272178.9775009838-42.05622853

    226.511.3250.0078569544178.9797931853-42.0949153839

    22711.350.0078221154178.9820750559-42.1335156191

    227.511.3750.0077875082178.9843466658-42.1720296253

    22811.40.0077531308178.9866080846-42.21045779

    228.511.4250.0077189811178.9888593812-42.2488004975

    22911.450.007685057178.9911006239-42.2870581301

    229.511.4750.0076513567178.9933318803-42.325231067

    23011.50.007617878178.9955532175-42.3633196853

    230.511.5250.0075846192178.997764702-42.4013243591

    23111.550.0075515783178.9999663997-42.4392454605

    231.511.5750.0075187532179.0021583757-42.4770833588

    23211.60.0074861423179.0043406949-42.5148384208

    232.511.6250.0074537436179.0065134212-42.5525110111

    23311.650.0074215553179.0086766183-42.5901014916

    233.511.6750.0073895755179.0108303492-42.6276102222

    23411.70.0073578024179.0129746762-42.66503756

    234.511.7250.0073262344179.0151096612-42.70238386

    23511.750.0072948695179.0172353656-42.7396494748

    235.511.7750.0072637061179.0193518502-42.7768347547

    23611.80.0072327424179.0214591751-42.8139400477

    236.511.8250.0072019768179.0235574002-42.8509656995

    23711.850.0071714074179.0256465846-42.8879120535

    237.511.8750.0071410328179.027726787-42.9247794511

    23811.90.0071108512179.0297980656-42.9615682313

    238.511.9250.0070808609179.0318604782-42.9982787309

    23911.950.0070510604179.0339140817-43.0349112845

    239.511.9750.0070214481179.035958933-43.0714662248

    240120.0069920223179.0379950883-43.107943882

    240.512.0250.0069627816179.0400226032-43.1443445843

    24112.050.0069337243179.0420415329-43.1806686581

    241.512.0750.0069048489179.0440519324-43.2169164273

    24212.10.0068761539179.0460538557-43.2530882139

    242.512.1250.0068476378179.0480473568-43.2891843379

    24312.150.0068192992179.0500324891-43.3252051173

    243.512.1750.0067911365179.0520093054-43.3611508679

    24412.20.0067631482179.0539778582-43.3970219037

    244.512.2250.006735333179.0559381996-43.4328185366

    24512.250.0067076894179.0578903812-43.4685410766

    245.512.2750.006680216179.0598344541-43.5041898317

    24612.30.0066529115179.061770469-43.5397651081

    246.512.3250.0066257743179.0636984762-43.5752672099

    24712.350.0065988032179.0656185257-43.6106964395

    247.512.3750.0065719968179.0675306669-43.6460530973

    24812.40.0065453538179.0694349488-43.6813374818

    248.512.4250.0065188728179.0713314202-43.7165498897

    24912.450.0064925525179.0732201291-43.7516906159

    249.512.4750.0064663916179.0751011236-43.7867599535

    25012.50.0064403889179.076974451-43.8217581936

    250.512.5250.006414543179.0788401584-43.8566856258

    25112.550.0063888527179.0806982924-43.8915425378

    251.512.5750.0063633167179.0825488995-43.9263292154

    25212.60.0063379339179.0843920254-43.9610459429

    252.512.6250.0063127029179.0862277158-43.9956930026

    25312.650.0062876226179.0880560157-44.0302706754

    253.512.6750.0062626918179.08987697-44.0647792402

    25412.70.0062379092179.0916906232-44.0992189743

    254.512.7250.0062132738179.0934970192-44.1335901536

    25512.750.0061887843179.0952962019-44.1678930518

    255.512.7750.0061644396179.0970882146-44.2021279415

    25612.80.0061402386179.0988731003-44.2362950932

    256.512.8250.00611618179.1006509017-44.2703947762

    25712.850.0060922629179.1024216611-44.3044272578

    257.512.8750.0060684861179.1041854206-44.338392804

    25812.90.0060448484179.1059422217-44.3722916791

    258.512.9250.0060213489179.1076921058-44.4061241458

    25912.950.0059979864179.1094351139-44.4398904652

    259.512.9750.0059747599179.1111712867-44.4735908971

    260130.0059516682179.1129006646-44.5072256994

    260.513.0250.0059287105179.1146232875-44.5407951288

    26113.050.0059058856179.1163391952-44.5742994403

    261.513.0750.0058831925179.1180484271-44.6077388876

    26213.10.0058606301179.1197510222-44.6411137226

    262.513.1250.0058381976179.1214470195-44.6744241959

    26313.150.0058158939179.1231364573-44.7076705568

    263.513.1750.0057937179179.1248193738-44.7408530528

    26413.20.0057716688179.126495807-44.7739719303

    264.513.2250.0057497456179.1281657945-44.8070274341

    26513.250.0057279472179.1298293734-44.8400198075

    265.513.2750.0057062729179.1314865809-44.8729492926

    26613.30.0056847215179.1331374537-44.9058161299

    266.513.3250.0056632922179.1347820283-44.9386205587

    26713.350.0056419841179.1364203407-44.9713628167

    267.513.3750.0056207963179.1380524269-45.0040431406

    26813.40.0055997277179.1396783224-45.0366617654

    268.513.4250.0055787777179.1412980628-45.0692189248

    26913.450.0055579452179.1429116829-45.1017148513

    269.513.4750.0055372293179.1445192176-45.1341497761

    27013.50.0055166293179.1461207014-45.1665239289

    270.513.5250.0054961443179.1477161687-45.1988375383

    27113.550.0054757733179.1493056534-45.2310908314

    271.513.5750.0054555156179.1508891892-45.2632840342

    27213.60.0054353702179.1524668098-45.2954173713

    272.513.6250.0054153365179.1540385483-45.3274910662

    27313.650.0053954135179.1556044378-45.3595053409

    273.513.6750.0053756004179.1571645109-45.3914604164

    27413.70.0053558965179.1587188003-45.4233565123

    274.513.7250.0053363009179.1602673381-45.4551938471

    27513.750.0053168128179.1618101565-45.4869726379

    275.513.7750.0052974314179.1633472871-45.5186931008

    27613.80.0052781561179.1648787615-45.5503554506

    276.513.8250.0052589859179.1664046111-45.5819599008

    27713.850.0052399201179.167924867-45.613506664

    277.513.8750.005220958179.1694395599-45.6449959513

    27813.90.0052020989179.1709487206-45.676427973

    278.513.9250.0051833419179.1724523794-45.7078029378

    27913.950.0051646863179.1739505664-45.7391210537

    279.513.9750.0051461314179.1754433118-45.7703825272

    280140.0051276765179.1769306451-45.8015875639

    280.514.0250.0051093209179.1784125959-45.8327363683

    28114.050.0050910638179.1798891936-45.8638291435

    281.514.0750.0050729046179.1813604671-45.8948660918

    28214.10.0050548425179.1828264455-45.9258474143

    282.514.1250.0050368769179.1842871573-45.9567733109

    28314.150.005019007179.185742631-45.9876439806

    283.514.1750.0050012322179.187192895-46.0184596212

    28414.20.0049835518179.1886379771-46.0492204295

    284.514.2250.0049659652179.1900779054-46.0799266012

    278.513.9250.0051833419179.1724523794-45.7078029378

    27913.950.0051646863179.1739505664-45.7391210537

    279.513.9750.0051461314179.1754433118-45.7703825272

    280140.0051276765179.1769306451-45.8015875639

    280.514.0250.0051093209179.1784125959-45.8327363683

    28114.050.0050910638179.1798891936-45.8638291435

    281.514.0750.0050729046179.1813604671-45.8948660918

    28214.10.0050548425179.1828264455-45.9258474143

    282.514.1250.0050368769179.1842871573-45.9567733109

    28314.150.005019007179.185742631-45.9876439806

    283.514.1750.0050012322179.187192895-46.0184596212

    28414.20.0049835518179.1886379771-46.0492204295

    284.514.2250.0049659652179.1900779054-46.0799266012

    28514.250.0049484716179.1915127073-46.110578331

    285.514.2750.0049310705179.1929424105-46.1411758125

    28614.30.0049137611179.1943670421-46.1717192383

    286.514.3250.0048965429179.1957866293-46.2022087999

    28714.350.0048794151179.1972011988-46.2326446879

    287.514.3750.0048623772179.1986107774-46.2630270918

    28814.40.0048454285179.2000153915-46.2933562001

    288.514.4250.0048285684179.2014150675-46.3236322004

    28914.450.0048117963179.2028098314-46.3538552792

    289.514.4750.0047951116179.2041997092-46.3840256219

    29014.50.0047785136179.2055847267-46.4141434132

    290.514.5250.0047620018179.2069649094-46.4442088367

    29114.550.0047455756179.2083402826-46.474222075

    291.514.5750.0047292343179.2097108716-46.5041833097

    29214.60.0047129775179.2110767015-46.5340927215

    292.514.6250.0046968044179.212437797-46.5639504904

    29314.650.0046807146179.213794183-46.5937567949

    293.514.6750.0046647074179.2151458837-46.6235118132

    29414.70.0046487824179.2164929237-46.6532157221

    294.514.7250.0046329388179.2178353271-46.6828686977

    29514.750.0046171763179.2191731178-46.7124709152

    295.514.7750.0046014941179.2205063198-46.7420225488

    29614.80.0045858919179.2218349566-46.7715237718

    296.514.8250.004570369179.2231590519-46.8009747567

    29714.850.0045549249179.2244786289-46.8303756751

    297.514.8750.004539559179.2257937108-46.8597266976

    29814.90.0045242709179.2271043207-46.889027994

    298.514.9250.00450906179.2284104815-46.9182797333

    29914.950.0044939258179.2297122157-46.9474820835

    299.514.9750.0044788678179.2310095461-46.9766352119

    300150.0044638854179.232302495-47.0057392849

    Hoja1

    20 log |H|

    Hoja2

    Hoja3

    fase de H

    fase de H

    fase de H

  • Diagramas de BodeMetodologa General (primer ejemplo)ASL/RAD/2001Paso 5-C: Incorporar a la grfica una recta con pendiente de -20 dB/dec a partir de la frecuencia de corte a = 2-20 dB/dec

    Grfico4

    valor de w

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    0

    20,5

    21

    21,5

    22

    22,5

    23

    23,5

    24

    24,5

    25

    25,5

    26

    26,5

    27

    27,5

    28

    28,5

    29

    29,5

    30

    30,5

    31

    31,5

    32

    32,5

    33

    33,5

    34

    34,5

    35

    35,5

    36

    36,5

    37

    37,5

    38

    38,5

    39

    39,5

    40

    40,5

    41

    41,5

    42

    42,5

    43

    43,5

    44

    44,5

    45

    45,5

    46

    46,5

    47

    47,5

    48

    48,5

    49

    49,5

    50

    50,5

    51

    51,5

    52

    52,5

    53

    53,5

    54

    54,5

    55

    55,5

    56

    56,5

    57

    57,5

    58

    58,5

    59

    59,5

    60

    60,5

    61

    61,5

    62

    62,5

    63

    63,5

    64

    64,5

    65

    65,5

    66

    66,5

    67

    67,5

    68

    68,5

    69

    69,5

    70

    70,5

    71

    71,5

    72

    72,5

    73

    73,5

    74

    74,5

    75

    75,5

    76

    76,5

    77

    77,5

    78

    78,5

    79

    79,5

    80

    80,5

    81

    81,5

    82

    82,5

    83

    83,5

    84

    84,5

    85

    85,5

    86

    86,5

    87

    87,5

    88

    88,5

    89

    89,5

    90

    90,5

    91

    91,5

    92

    92,5

    93

    93,5

    94

    94,5

    95

    95,5

    96

    96,5

    97

    97,5

    98

    98,5

    99

    99,5

    100

    100,5

    101

    101,5

    102

    102,5

    103

    103,5

    104

    104,5

    105

    105,5

    106

    106,5

    107

    107,5

    108

    108,5

    109

    109,5

    110

    110,5

    111

    111,5

    112

    112,5

    113

    113,5

    114

    114,5

    115

    115,5

    116

    116,5

    117

    117,5

    118

    118,5

    119

    119,5

    Hoja1

    valor de wn=valor de ww/wnmagnitud de Hfase de H20 log |H|

    20001000

    0.50.0251.00061286760.2868010630.00532167010

    -0.110.051.00245589260.57466586930.02130546060

    1.50.0751.00554241910.86467117360.04800792350

    2020.11.00989495111.15792008430.085524020

    2.50.1251.01554555591.45555608170.13398819970

    30.151.0225364481.7587780870.19357594480

    3.50.1751.03092077312.06885700310.26450581540

    40.21.04076361782.38715421580.34704204190

    4.50.2251.05214328172.71514263520.44149772850

    50.251.06515285833.05443098110.54823874260

    5.50.2751.07990218393.40679218120.66768838870

    60.31.09652023193.77419696640.80033298520

    6.50.3251.1151580524.15885403990.94672849120

    70.351.13599237984.56325858081.10750836290

    7.50.3751.15923008314.99025135981.28339285930

    80.41.18511365785.44309144641.47520006360

    8.50.4251.21392805185.92554643421.6838589470

    90.451.24600918396.44200542331.9104248670

    9.50.4751.28175464136.99762181052.15609797470

    100.51.32163720097.5984954822.42224508990

    10.50.5251.36622203358.25190761112.71042570090

    110.551.41618875298.966626433.02242281940

    11.50.5751.47235987349.75330983933.36027946010

    120.61.535737792110.62504171953.72634143410

    12.50.6251.607553149811.598055134.12330681410

    130.651.6893283812.69272007384.55428156170

    13.50.6751.78296140413.93491058245.02283884110

    140.71.890835584215.35792230455.53307533630

    14.50.7252.015962525617.00519756096.08964909650

    150.752.162162162218.93424327056.69776525850

    15.50.7752.334274476821.22231115417.36303842880

    160.82.538365412823.97464309698.09108283080

    16.50.8252.781801091427.33627460498.88652146360

    170.853.072834744531.50813440619.75078409480

    17.50.8753.418795614236.766109803710.67746276310

    180.93.820803599543.473881706311.64309428510

    18.50.9254.261336700352.057721317212.5909170080

    190.954.682608166562.866885774613.4097563640

    19.50.9754.971318033875.829491675713.92943094930

    20159013.97940008670

    20.51.0254.7357801891103.833105699313.5078307288

    211.054.2793600054115.984329724112.6275764694

    21.51.0753.7677108197125.870977312711.5215512463

    221.13.2879797461133.644279771510.3385826726

    22.51.1252.8726425303139.71301454599.1656317208

    231.152.5245261781144.48635481798.0435975695

    23.51.1752.235506988148.29251202956.9875206356

    241.21.9952172112151.37502869355.9998036493

    24.51.2251.7941718894153.91019013115.0772809595

    251.251.6245538642156.02535690314.2146823105

    25.51.2751.4801718094157.81331623543.4062425717

    261.31.3561893622159.34253672152.64640667

    26.51.3251.2488354764160.66427294261.9301045498

    271.351.1551578789161.81745614791.2528268924

    27.51.3751.0728292944162.83207685810.6106124746

    281.41163.73154787980

    28.51.4250.9351869933164.5343755695-0.5820308406

    291.450.8771908732165.2553575902-1.1381179126

    29.51.4750.8250333258165.9064528306-1.6705701704

    301.50.7779098416166.4974214873-2.1814146816

    30.51.5250.7351536981167.0363019414-2.6724370748

    311.550.6962083098167.5297702705-3.1452159472

    31.51.5750.6606058287167.9834143242-3.6011519749

    321.60.6279504491168.40194487-4.0414924921

    32.51.6250.5979052787168.7893598695-4.4673522459

    331.650.570181934169.1490734746-4.8797309455

    33.51.6750.544532234169.4840182031-5.2795281349

    341.70.5207415223169.7967265296-5.667555833

    34.51.7250.4986232609170.0893965395-6.0445493084

    351.750.4780146261170.3639451384-6.4111762958

    35.51.7750.4587728987170.6220514683-6.7680449056

    361.80.4407724872170.8651925596-7.1157104356

    36.51.8250.4239024603171.0946727825-7.4546812566

    371.850.4080644903171.3116483153-7.7854239162

    37.51.8750.3931711304171.5171475818-8.1083675777

    381.90.3791443646171.7120884079-8.4239078947

    38.51.9250.3659143824171.8972924947-8.7324104019

    391.950.3534185374172.0734976817-9.0342134938

    39.51.9750.3416004606172.2413683854-9.3296310471

    4020.3304093002172.401504518-9.6189547367

    40.52.0250.3197990694172.5544491411-9.9024560871

    412.050.3097280835172.7006950551-10.1803882937

    41.52.0750.3001584733172.8406904949-10.4529878441

    422.10.2910557622172.9748440688-10.7204759651

    42.52.1250.2823884985173.1035290555-10.9830599167

    432.150.2741279336173.2270871538-11.2409341527

    43.52.1750.2662477411173.3458317654-11.4942813635

    442.20.258723769173.4600508757-11.7432734146

    44.52.2250.2515338222173.5700095909-11.9880721944

    452.250.2446574704173.6759523758-12.2288303795

    45.52.2750.2380758774173.7781050346-12.4656921292

    462.30.2317716509173.8766764676-12.6987937149

    46.52.3250.2257287078173.9718602328-12.9282640929

    472.350.2199321545174.0638359372-13.1542254255

    47.52.3750.2143681807174.1527704796-13.3767935569

    482.40.209023963174.2388191625-13.596078448

    48.52.4250.2038875801174.3221266886-13.8121845741

    492.450.1989479349174.4028280568-14.0252112896

    49.52.4750.1941946861174.4810493684-14.2352531628

    502.50.1896181853174.5569085536-14.4424002833

    50.52.5250.1852094204174.6305160283-14.6467385456

    512.550.1809599654174.7019752883-14.8483499103

    51.52.5750.1768619332174.7713834475-15.0473126446

    522.60.1729079344174.838831727-15.2437015454

    52.52.6250.169091039174.9044058994-15.4375881453

    532.650.1654047415174.9681866931-15.6290409032

    53.52.6750.1618429295175.0302501618-15.8181253819

    542.70.1583998549175.0906680213-16.004904412

    54.52.7250.1550701074175.149507957-16.189438245

    552.750.1518485906175.2068339071-16.3717846952

    55.52.7750.1487304995175.26270632-16.5519992724

    562.80.1457113006175.3171823928-16.7301353051

    56.52.8250.1427867134175.3703162886-16.9062440563

    572.850.1399526926175.4221593377-17.0803748305

    57.52.8750.1372054133175.4727602227-17.2525750747

    582.90.1345412556175.5221651486-17.4228904727

    58.52.9250.1319567918175.5704180008-17.5913650332

    592.950.1294487739175.61756049-17.7580411727

    59.52.9750.127014122175.6636322878-17.922959793

    6030.1246499137175.7086711503-18.0861603543

    60.53.0250.1223533748175.7527130349-18.2476809436

    613.050.1201218696175.7957922065-18.4075583394

    61.53.0750.1179528928175.8379413381-18.5658280721

    623.10.1158440616175.8791916027-18.7225244812

    62.53.1250.1137931086175.9195727601-18.8776807696

    633.150.1117978746175.9591132368-19.0313290538

    63.53.1750.1098563029175.9978402011-19.1835004125

    643.20.107966433176.0357796327-19.3342249316

    64.53.2250.1061263952176.0729563882-19.4835317472

    653.250.1043344055176.1093942616-19.6314490861

    65.53.2750.102588761176.1451160417-19.778004304

    663.30.1008878353176.180143565-19.9232239224

    66.53.3250.0992300744176.2144977661-20.0671336623

    673.350.0976139925176.2481987241-20.2097584776

    67.53.3750.0960381688176.2812657067-20.3511225854

    683.40.0945012439176.3137172111-20.4912494959

    68.53.4250.0930019165176.3455710031-20.6301620404

    693.450.0915389402176.3768441534-20.7678823973

    69.53.4750.0901111213176.4075530713-20.9044321179

    703.50.0887173156176.4377135377-21.0398321504

    70.53.5250.0873564259176.4673407345-21.1741028624

    713.550.0860273999176.4964492739-21.3072640629

    71.53.5750.0847292279176.5250532249-21.4393350233

    723.60.0834609407176.5531661389-21.5703344966

    72.53.6250.0822216075176.5808010735-21.700280737

    733.650.0810103343176.6079706152-21.8291915173

    73.53.6750.0798262619176.6346869009-21.9570841463

    743.70.0786685645176.6609616379-22.0839754854

    74.53.7250.077536448176.6868061235-22.2098819639

    753.750.0764291484176.7122312623-22.3348195945

    75.53.7750.0753459305176.7372475842-22.4588039872

    763.80.0742860869176.7618652601-22.5818503632

    76.53.8250.0732489362176.7860941176-22.703973568

    773.850.0722338222176.8099436554-22.825188084

    77.53.8750.0712401127176.8334230572-22.9455080425

    783.90.0702671984176.8565412052-23.0649472354

    78.53.9250.0693144918176.8793066921-23.183519126

    793.950.0683814266176.901727833-23.3012368599

    79.53.9750.0674674563176.9238126774-23.4181132747

    8040.0665720536176.9455690189-23.5341609105

    80.54.0250.0656947099176.9670044062-23.6493920186

    814.050.0648349338176.9881261526-23.7638185708

    81.54.0750.0639922509177.008941345-23.8774522681

    824.10.0631662031177.0294568533-23.9903045488

    82.54.1250.0623563477177.049679338-24.1023865968

    834.150.0615622569177.0696152591-24.213709349

    83.54.1750.060783517177.089270883-24.3242835027

    844.20.0600197281177.1086522903-24.434119523

    84.54.2250.0592705036177.1277653826-24.5432276494

    854.250.0585354693177.1466158889-24.6516179025

    85.54.2750.0578142632177.1652093724-24.75930009

    864.30.057106535177.1835512362-24.8662838136

    86.54.3250.0564119453177.2016467296-24.972578474

    874.350.0557301659177.2195009528-25.0781932772

    87.54.3750.0550608787177.237118863-25.1831372397

    884.40.0544037756177.2545052793-25.287419194

    88.54.4250.0537585579177.2716648873-25.3910477934

    894.450.0531249365177.2886022438-25.4940315172

    89.54.4750.0525026309177.3053217817-25.5963786752

    904.50.0518913691177.3218278138-25.6980974124

    90.54.5250.0512908876177.3381245369-25.7991957138

    914.550.0507009305177.3542160361-25.8996814078

    91.54.5750.0501212498177.3701062882-25.9995621713

    924.60.0495516047177.3857991658-26.0988455331

    92.54.6250.0489917616177.4012984399-26.1975388779

    934.650.0484414938177.4166077841-26.2956494501

    93.54.6750.0479005811177.4317307775-26.3931843573

    944.70.0473688096177.4466709076-26.4901505741

    94.54.7250.0468459718177.4614315735-26.586554945

    954.750.0463318659177.4760160885-26.6824041881

    95.54.7750.0458262959177.490427683-26.7777048981

    964.80.0453290714177.5046695071-26.8724635493

    96.54.8250.0448400073177.5187446332-26.9666864987

    974.850.0443589237177.5326560581-27.0603799888

    97.54.8750.0438856457177.5464067057-27.1535501506

    984.90.0434200031177.5599994292-27.2462030059

    98.54.9250.0429618304177.5734370129-27.3383444703

    994.950.0425109668177.5867221748-27.4299803555

    99.54.9750.0420672557177.5998575683-27.5211163721

    10050.0416305447177.6128457842-27.6117581316

    100.55.0250.0412006856177.6256893525-27.7019111487

    1015.050.0407775339177.6383907444-27.7915808442

    101.55.0750.0403609493177.6509523737-27.8807725462

    1025.10.0399507949177.663376599-27.9694914933

    102.55.1250.0395469376177.6756657247-28.0577428356

    1035.150.0391492474177.6878220028-28.1455316375

    103.55.1750.0387575982177.6998476348-28.2328628793

    1045.20.0383718667177.7117447723-28.3197414592

    104.55.2250.037991933177.7235155194-28.4061721949

    1055.250.0376176801177.7351619333-28.4921598258

    105.55.2750.0372489941177.7466860257-28.5777090143

    1065.30.0368857639177.7580897645-28.6628243478

    106.55.3250.0365278813177.7693750746-28.7475103401

    1075.350.0361752406177.7805438392-28.8317714332

    107.55.3750.0358277389177.7915979011-28.9156119988

    1085.40.0354852756177.8025390635-28.9990363397

    108.55.4250.035147753177.8133690912-29.0820486913

    1095.450.0348150753177.8240897119-29.1646532231

    109.55.4750.0344871494177.8347026166-29.2468540401

    1105.50.0341638842177.8452094613-29.3286551841

    110.55.5250.0338451909177.8556118673-29.4100606349

    1115.550.0335309829177.8659114223-29.4910743118

    111.55.5750.0332211756177.8761096817-29.5717000748

    1125.60.0329156862177.8862081687-29.6519417256

    112.55.6250.0326144343177.8962083756-29.7318030091

    1135.650.0323173409177.9061117647-29.8112876144

    113.55.6750.0320243292177.9159197687-29.8903991757

    1145.70.031735324177.9256337915-29.9691412739

    114.55.7250.0314502519177.9352552095-30.0475174373

    1155.750.0311690412177.9447853712-30.1255311427

    115.55.7750.0308916218177.9542255992-30.2031858165

    1165.80.0306179252177.9635771897-30.2804848355

    116.55.8250.0303478846177.9728414138-30.3574315282

    1175.850.0300814344177.982019518-30.4340291753

    117.55.8750.0298185108177.9911127247-30.5102810112

    1185.90.0295590511178.000122233-30.5861902243

    118.55.9250.0293029944178.0090492187-30.6617599581

    1195.950.0290502808178.0178948358-30.7369933122

    119.55.9750.0288008518178.0266602161-30.8118933431

    12060.0285546504178.0353464703-30.8864630647

    120.56.0250.0283116205178.0439546883-30.9607054495

    1216.050.0280717074178.0524859396-31.0346234292

    121.56.0750.0278348577178.0609412741-31.1082198954

    1226.10.0276010189178.0693217222-31.1814977003

    122.56.1250.0273701399178.0776282954-31.2544596577

    1236.150.0271421704178.0858619868-31.3271085434

    123.56.1750.0269170614178.0940237715-31.399447096

    1246.20.0266947648178.1021146069-31.4714780177

    124.56.2250.0264752336178.1101354331-31.5432039748

    1256.250.0262584218178.1180871737-31.6146275982

    125.56.2750.0260442842178.1259707355-31.6857514845

    1266.30.0258327767178.1337870094-31.7565781961

    126.56.3250.0256238561178.1415368706-31.8271102622

    1276.350.02541748178.1492211787-31.897350179

    127.56.3750.025213607178.1568407786-31.9673004107

    1286.40.0250121964178.1643965004-32.0369633898

    128.56.4250.0248132085178.1718891596-32.1063415175

    1296.450.0246166041178.1793195579-32.1754371646

    129.56.4750.0244223452178.1866884832-32.2442526719

    1306.50.0242303944178.1939967098-32.3127903506

    130.56.5250.0240407148178.2012449991-32.3810524829

    1316.550.0238532705178.2084340993-32.4490413224

    131.56.5750.0236680264178.2155647463-32.5167590946

    1326.60.0234849478178.2226376634-32.5842079977

    132.56.6250.023304001178.229653562-32.6513902026

    1336.650.0231251526178.2366131415-32.7183078533

    133.56.6750.0229483702178.2435170899-32.7849630679

    1346.70.0227736217178.2503660839-32.8513579387

    134.56.7250.022600876178.2571607888-32.9174945323

    1356.750.0224301024178.2639018593-32.9833748908

    135.56.7750.02226