NASA US-B v.2 c.l NASA TECHNICAL NOTE NASAT N <C V') <C z: UNIFISE-DB ATNEDL ECOMMUNICATION TECHNIQFUOERAS P OLLO VOLUMEI I-MATHEMATICMAOLD ELS AND ANALYSIS bJyo hHn.P ainatneGdre oHrogned ros L ' MannSepda ceCcernatfte r HousTteoxna,s NATOINALA ERONAUTIACNSD SPACAED MINISTRATIONW ASHINGTODN.,C . APRI1L9 66 • • I TECHL IBRARY NKAMF B, IIIIIIIIIIIII11II/1II11III1II11 I 1 I11I1I1 1 1111 0069092 UNIFIEDS -BAND TELECOMMUN ICATION TECHNIQUES FOR APOLLO VOLUME II MATHEMATICAL MODELS AND ANALYSIS By JohnH . Paintera ndG eorgeH ondros MannedS pacecrafCte nter HoustonT,e xas NATIONAALE RONAUTIACNSD S PACEA DMINISTRATION Fors aleb yt heC learinghofuorsF ee derSacl ientiafnidTc e chnicIanlf ormation SpringfiVeilrdg,i n2i2a1 5-1 Pric$e5 .00 I ABSTRACT Tiihtssshn ve edocas lo deumaoretni eei sn MSapanCtcnedeeeenorccndc,cora tium ammfiotunntnig tuesueci stAhnehUpn denSoib Ti-lqameflnliodee cdo mniuiaoTcnnrSadtsaytA es cssmittk .nahi tene gd fvi,oNr AlsSuttpAmh rdc eeeoiu ssme enntt cnowtedniihedecml edm teac amadrtatooehlctifle a irinng cehitlasnhs.ny See nspacl ,ttlsiyv hue fpoimmirleco TN D-220, 8 vsipmitdltamcheetiaesu ollmf sopee aoaclr d,rbtsi i ng ape,tpelp hr yeoovrfxacfm icroomomairmunatoanstiuni sc e adtcni rckneashigtl asns heny temn . Ill FOREWORD Thceo notfte hnpitus b liwcaoasrt iigoinn alalsNy A SpAu blished ApoWlolroPk aipNneogr. anwdae sn ti"tUlneiSdf- iBTeaednl de com 1184, muniTceacthifnooinArq p uoVelosll oIu,IMm ,ae t heMmoadatenildcs a l AnalysiVso.l"uo mfte hs iesr biyte hsse,am a eu thioser nst,i tled "uFnctDieosIn carliT phptiuisbo lni.wc"ha ihtcabihseo cnVo,om lIeuI m,e isne airdleynt toti hWceoa rlPk ainpmgee rn taibooinvneecd,o rporating onalf yem wi ncohrai nntg hefeso rm. Thaeu twhiotsroahs c wklneotdhtgeie am need f foofmre tm obfe rs thtee chsntiaocffJaf elPrst o puLlasbioorPnaa tsoaCrdayel,ni af,o rnia, anMdo toMriolliEatl areyc tDriovniWisecissoCt nee,nrS tnce ort,t sdale, ArizTohfneia rdr.sa tfw tar se vibeytw hfeeod l lionwdiinvfgir douma ls JePtr opLulasbioorenaa ptceohrr fyao,s r empiarnregav ftiueen wc tion: M.Ke orner L.C ouvillon R.T itsworth M.B rockman R.T oukdarian Victor w. Thfeo llionwdiinvfgir Mdooumta olIrsno rcle.av ,it ehfweie rddsr tai fnt itesn tirety: S C Gupta DrT • .G• .H• all Aw oorftd h ainsdk utseoM es.Bs D.r.M s aratnMidE.n a rsltgie n ofJ PfLoc ro ntaisinssuteaadnni dcn es pidruarttihpinerog en p aration oft shvi ol.u me Thaeu tswh iotsrodh e ditchpaiutsbe l itcoGa .Bt airGaorrvnye s whmoa tdhewei r tionftg hs ieisre osfd o cupmoesnsatinsbd l et,o TeFdr ene,omn oaeft hoisned ivwihtdohumwia oslwr saki s n tetnod ed benefit. CONTENTS Seciton Page SUMMARY 1 2 SYMBOLS • • 1.0 INTRODUCTION 5 1.1B ackgrouanndd P urposoef theD ocument 5 • • 1.2T heoreticAaplp roach 5 • • 1.12 .AnalyticSaclop e 5 1.22 .Methodo f Presentation 6 12..3 Assumptions 6 • • • • 1.3S ysteDme scription 7 • 2.0 GROUND-TO-SPACECRAFT CHANNAELN ALYSES 7 21. CarrieTrr ackinCgh annel 7 2.2T heV oiceC hannel 8 2.3T heU p-DatCah annel 11 3.0 SPACECRAFT-TO-GRPHAOSUEN DM ODULATECDHA NNEL ANALYSES • • • • • . • • • • . · • • CarrieTrr ackinCgh annel • 3.2A ngleT rackinCgh annel 15 • 3.3R anginCgh annel 15 3..31C lockL oopT hreshold 16 3.23 .Range CoAdceq uisitiToinm e 18 • • • 3.4T heFC M TelemetrCyh annel 19 35. TheV oiceC hannel 22 BiomedicDaalt aC hannels 25 • 37. TheEm ergencyV oiceC hannel 28 38. TheE mergencKye yC hannel 31 i Steicon Page 4.0S PACEGRCOURNAFFDTR -ETQMOUO-EDNUCCLHANYANEL T ED AANLYSES . 33 • • • • • .• • • . • • • . • • . 4.Cla rDreimeord Cuhlananteilo n 33 • 4.T2e loenCv hiasninel 35 • 4.P3C TMe lemetry Channel 37 4.V4o iCchea nnel 40 45. BiomDeadCtihaca anln el 42 APPEAN AD-NIXGM LOLEDA UTION A-l A.Bla sCiocn siderations A-l • A.T2h Cea rwriitehSr cu abrr.i ers A-4 K A.T3h Cea rwriitehSr u bcaarnRrdai negres Code . K A-6 · • . • . APPEBN ND--OIXI SE B-l B.Tlh Nea rroGwa-uBsRasaninPdadr noo mc ess B-l B.A2n gMloed uClaartPreliNdueo sri. .s.e B-3 B.T3r ansomfSig isnPsalilNuo osniT shera o ugh PerBfaencdtL-m ipiat.se..sr .. . . . B5- . B.T4r anisoomnfSi insagPsll NuosiT shera o ugh PerPfreocDdteu vci.tc e B-6 • B.l4 A.N onprPerl. oi.D dm.e ui.t .ct .e t.e � c dt orB -6 B.4.P2r elPirmoiDdteuetcdet c tor B-7 B.4AA .N 3o nprPerloiMdmiuix,cte ter d B-9 APPECN PHAD-SIXE -LOCLKEOTDOHE PO RY C-l C.AlP hysAipcpartloot a hPcehh a seL-ol.oo pc kCe-dl C.T2h Lei neMaordoieftzl heP edh aseL-oloopc kc-e4d C.2T.hClel oLsoeTodrp a nFsufnecrt ionCs5- C.2M.o2d uTlraatcEikroirnno gr C-9 C.2L.o3Po hpaN soei se C-l3 C.2T.h4r ePrsehdoilcdt ion C-5l ii 1111111.111.1 11111.11·1- 1-1111111111111 I ---- -··---··--,--- -..-.--,••••••-·,--•-•--• •••••• Ill Scetion Page C.S3i gannNadol iC shea racotfPe rreilsitmiictse d PhaseL-ooLposc ked C-18 • • • . • • • • • •. • C.3L.ilm EiftfeoernLc otPosap r ameterCs- 19 C.M4o duRleasttirLoionco tpi ve C-20 C.4L.olNo opiB saen dAwbioTdvhterh e sholCd- 22 C5. PrefiMlotdeuTrlreaadtc Likooionnp gs C-24 APPEDN D--IXP DREOMDOUDCUTL ATION D-l D.Lli nPeraorDd eumcotd ulator D-l D.lD.elt eocfSt iinounSs ucoabirdraile rsD -2 D.lD.e2t eocArftb iiotBnra asreyb and Mod- ula.t ion D-4 D.lN.o3iC sh. ea• .r . a. •c .. t. e. • risticsD -6 D.lOu.t4pS uiatgl n-toR• -a. nt• oiiosse D-6 D.l.Sb4uc.alra rnbidae nrd -pass filter. . D-6 D.l.B4a.s2. em . •b o• adn.u •ad ln •a dt ion low-fpialstse r D-7 D.P2r elPirmoiDdteuemcdot d ulators D-9 APPEEN DD--EIXM ODULMDAOUTLIAOTTNRI AOCWLNKIIO NTOGHP S E-l E.Dle teocfSt isinoouinSd uablc aarnrdi ers ArbitraMroyd uBlaasteiboann d E-3 E.N2o iCshea racteristics E-4 E.2L.olw -OpuatFspisul tt er E5- E.2Ba.n2d -OpuatFspisul tt er E-6 • E.O3u tSpgiunta lo-iRtsaoet- inos E-8 SbucararnBidae nrdF -ipl.at sesr E-8 BaseMboadnudal naLdto iwo-F• npi alstse rE -10 • APPEFN SD--PIXIE ALCIDZEETDE CTORS F-l • F.Rla nCgleoR cekc eainCvdoe Cdrqe r relatorF -l • F.lS.gilnT arle atment F-2 F.lN.o2iT sree at• m• •e • nt F5- • • iii Section Page F.L3S ignal-toR-antoiiosse F-10 • • • • F.l.R4e ceiTvherre shold F-12 • • F.1.R5a ngCeo dAec quisni Ttiimoe F-13 F.2P CMT elemeSturbyc arDreimeord ulator F-18 F.2.Oult put Data Treatment F-19 F.2.R2e fereLnocoTepr eatment F-20 • F.3T hRee sidCuaarlr iTerra ckRiencge iver (G rorm)d F-22 • • • • • . • • • • • • • . • F.4T heR esidCuaarlr iTerra ckRiencge iver (Spacec)r aft F-25 • • • • • • • • • • • • • • F.5T heS pacecTruarfnta rRoaunndg iCnhgan nel F-29 • F.5.E1q uivaNloeinste . F-32 • . . . F .2 EquivaSliegnnta l APPENDGIX --PHASE MOSDIULGNAALTD EEDS IGN G-1 G.lS olutfioorMn o dulaItnidoinc es G-2 G.2M axmiizatoifoS nu bcarCrhianenreS li gnal-to- noiseR atios G-7 G.3B oundaCroyn ditoinRo ens idCuaarlr ier G-7 G.4S ignEaflf iciency G-9 • • • APPENDHIX - SUPEPLMENTARTYHE ORY H-1 • H.lT heE quivaNloeinsBtea ndwiodfLt ihn ear Networ.k s. .. ... . . .. .. .. . H-1 . . . . . H.2E quivaNloeinsTtee mperaotfLu irenea r Syste.m s . H-5 . . • . . . . . . • . H.2.S1i ngNleet works H-5 H.2.C2a scaNdeetdw orks H-7 H.3T heB and-pAmpalsist udLei miter H-10 • • H.4T heRa ngEeq uation H-13 H.5A ntenPnoal arizLaotsiso n H-17 • H.6I ntelligiobfCi lliiptpVyeo di ce H-19 iv ·----·-···-- --- ._.____. ,., ... • I m 1 1•• I Ill I 11• - I I I � .1 . Seticon Page REFERENCES R-l . . . .. . -. . . . . . . . . .. v TABLES Table Page C.2.I2NT-PF IUU NCTIONS C-10 C.2.C4O-NIF IDEVNERCSLEUOS SLS-V OCAPKLR UEOSB A.B ILCI-T1I7E S c.4-I SNVERRS ULSO LSOCSPRK-O BIALBI.T IES C-22 INPUT C5.-I SNVRER SLUOSSS- LPROCOKB ABILITIES C-26 INPUT F. 1.1PR-OIGRAMS TAVTERESC UOSR RE.L A.T ION F-4 • • • vi
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