Table Of Content

Digital Phase Demodulator By BERNARD GLANCE Injeiontched sail ave shen to aot a8 narrow bond ster for PM wae th natn vot 4h ores an te Blo Phe ning action of the saison vacate Jax PO wate i found tues! ofa arf) pasos eat. Tho eetioe Gof the enjtinstocked eat can be e Bile we 20° the eats of the Saja aigeal cavier and ecilorfoonacie st Bates than 30 ‘Pioseflkerg proporee can te poli to il ema tor jc obecent phase tection of» oded FA wig, as tra succe hich 8 epuived (se mlese uw dans ont png faction of the eeiel sige heh an tian, Sitehand aussi ond cert topcase rete eat ave acne ait Dy ap Cio ite ton of he ujeoen-achet evitotr he amply of aie cipal demodhdator met Sp was fo Taeetion-lorket sci taon sar pettorn e wade variety of fuacions equine tn sieeve ri relays atch nz agin, empltuce nations Feeney rigsnlahoa® and dencedulation ty renin or She most ins satan. Tes ston in ths peper Hat injorton Hes aeons ea aa be used as macro hat able Blea for ange mduatee signa “These filtering properties ean be aed in 9 cig denial for aherest phase detretion wie) sich a demohuacoe iz eeseibed frre Its configuration, sown an Wigs ye sini tthe Snjetin= Tocked osilator PM rseiverwrjoeed ap CT, Rutarate The Irineples of opevtins, Rewever, ene diferent, Her proper erie Hon of the injectoreocked es ator PMP reine che eat signa of the eseisoe contains all of fe freee alow he nga Sisaal, Pais signal Ie wulipied by 9 feneson of tho sper ssa to 934 mmLL srenaL tou som, waROR a7 Breeder ig LS of th dl dower fo eho pha aa, produee the semutusted pul rh dgal Zemodalstor, the Wer= Ing properer of an ijeetiot-uekw? asi are ae to vomove the iegueagy medlacion frome rhe inure] we sn deve a sinuseicel furpat ot the irgueney and plow of Fe wineculate? eerrer “his frie je ued am Teal rare lok sign in a synsbroaess de tector. The mixing ofthe rvcived signal wid Us Heal ace givee & fusrent depesderon the plas: of the wevived signal provised the tsce forage of che hase xeaalution stays sal over pends shorter than Ie tive eoratans of che czar. "The test pare of ie paper inches «1 smalysie of the Shering Irnpertien of the injestion Teked ovtiletor jer plist moiulabal fiztals, Au syquesina'e ara’vbieal sa abn for the altering action is derive Irom she “orking sqantion, ‘hia eaution is then compan with rk tnmestal caleulaioes end ih experience resus ‘Toe stool jae of tela paps daaerbea tho properties and the ‘imisavions of digital cexanculscor wih uate Ue Tlleringsetion of the mjseinr-eseoselceor azalvee. i the Gist seeion ft Tocking Ryuasin Aap ‘The injeetion-leked onsillator pestis two “anotions mn the Hig demodulator i werose the phase mdulaicy of th input siz ene i amples the eure ena upto the feeranning eee eeor oucput leva ‘ke oseillatar outp signal which i obtained can be sed «= & reference signs! fr eynehronaus de Doueat ease onsoooesros 935 ‘he Rleting properties ean be derived stom tho locking equation ‘The properties oan ab be obained from a fecueney domein apaly= is which provides e clearer hyrical piekite af the phenomena. Lt as coca irate Tak’ equation analynis. Ase thst che injector-ocked ceilator it driven by injected sigal oliae eds laced oy a funtion €() avin i) = Tens fx + aC Taeking ooear it oie wufeenaty lowe fu the vttnr vila Pongleney ay - Within the locking zaage, the ceecor vutput voltage i given by =f) — 0 os at 4-96) — »CO1* 9, et the tearing angle, i the di fence in hago between the eq wi! pal signa 0° the ossltor "Thr phases of the input aad output viral are relate by the wel Tnown looking equation’ * de 20 Ge =F te ae Mersin gl, 0 whose do, ~ 1 ING) x ald fs ones the leking bandh for an nnmadulated injected signal of mpl £, Ge te lod Qs Oe external load exit "The tmnt signal amplitude VC ie aeualy neue eunetont and reform ‘hey ay be seruned lo be ie bnoapendont emoving the plist ulate Tm che injected sigeal rcouies bt the ohne of the wana ovyl signal, #10) ff), becomes Fine irdopondent Twill he shown tt thie eenliton i gppoxim ey Full ies the rae of phase mouatien ie navel: large than the have sng init Tt sm ae a iver by int signal with «sinusoidal phase modulation 0) — a, sn a Sulustibion of mauation (2) into equation (1) given Wath 0 rate of pe mdalaion 2 uy, tho ight side of equation 8 romine mol ataller shan unity 88 Tous as wa |S de equation {8} oun Chenfre he wpptoxraatad by batty ~ ato a 005m may exbsase seowuiont JocNan, sumer Ltt which gives for the eutpat signal a phase approximalely time idee pendent, thus HO % ‘The comtunt of itageeion, ay , ean be obkained from the ‘opking condition wih isubtatin by king Ue Line average of equation (0) ‘From rqutions (2) and, a e ae _ ‘ai co) (sin (9) — isn oo + Sin 2) = A199 st 0 ‘were Je isthe Bevel ‘unetion of ander sero. Substitution of ecustion {ea Int ation (8) gives She lacking onion as it) ine, a ‘The Fequency sange uf looking is uelenained by tho condition fin gy L Thereore the leecing bendvidsh s, fom equation (7), 2a = wan = 2 ae) ® ‘The maximum lodking bandwith ie reduced by the factor Jy) ovipared ith the unodulated ease; ia partieule, it beonaee equal lo ser ford = 2405 radian ‘Ths resus have born obteined ftom a fnetonder eoltion of stony (8), The tomy uf the lasing eee, esultng foun the sida phase tauduesion 98) — o(i 0: Che arial output signa ‘ase nee hy sling exuatiny (3) c0 the area [Before calealatng the mayaitude of th Meng effec, iis intrest fing to eve a phycal pierce of thie phezomezen through w fsqueney ddoveain analysis Experimental geval obearved with. spectrom ‘nalyar wil be compared with the resulis of this analysis. a7 122 Pruguoney Doman Dincution Lets consider as before an slltur Hacked by wn inieoed san with veiaueidal phase modulsion, fhe i611 ct + Ere meet 1 one assumes thatthe eurer Freeney w ie within the looking baad- width iy and that 23> oy Uke oven! qumpaanens a Gof nO (= at, 22, ate} ave a sill lft on the cxelacr Te ean be exe in a fest approximation thatthe escillatr is loeled by the injected eureent component Jf) ene! rmegutling tthe toatir requonos. ‘Phe locking baevideh, whieh ' propionate the ‘Mtelive driving eurment smmltade 7/46), ie eave by (he faelor i.) 8 found previously See wi 2-1. The baking bandit de ‘rouns wife inerearg faces of mdution wn gone etal to 20 for @) = 2405, This pacioular ee corresponds to wm injoted FM siguol with a uppeeaed carr “The rhlcbard sponesing effet, of the injured wailalor, sas; be owe: ely Hh tht snalye ae an sacra function: of ee eave fo pluse mu sion, Furchecrove st ca be expected trom this unalse that Toeking evs kn eects for any of tHe spectral eomporentn ot wt ni ). Lacking eam be abtored hy ting the fvcntr ntl fequeney eo a Fw Te looking range foe cual Sreqwerey o-+ ns pupa inal tr speetaa ne sensi, 70), 125 Papovimontal Veriton ‘The villity of the eswaaptions mede in this gals he been ved toy locking a 33-M1N onilgtor wth om FAT injoted egal "The inex of mediation, the reo esdubstion and the fneking bnd= svideh wer adjusted to be wht #2, 1001¢Hs, wal 10 tts, zeepeeiely ‘Stable locking wa obtasned hy ting the injected signal frequeney suck thatthe main spel io (x2) com at (x/2) 08 (at Bt fd J'n/2 e082 ic eoneesively Uh long range. Figure? hows the Locking ebtsined with tho shrew fit epretal omponents fad also shows the ebseetoreie fe, nalltion lich noes before locking. Tae ange locking ranges cereals exper sapectel compontate (0/2) oo Ga RE which ve the Largose Shap ite $85 cuban, erm rpcaetoan gemma, HOH 10 —_— lo i: (0) ait th ale dt ae 4 Sideband Atenavion ‘The fering efor: ofthe ijecion-oviol weilaor suppresses the sicelniwds-of tvs aga eigeal Tie efor ie sbuwn in Pig 2 wher of 8 ale of the earllatar ea. be iat ad oat the ape sompared ior Mase uNaROHe ATOR 9 iota aeration ea be defined by Citi ove) Cer va Tic rise eb tothe alphas austin #0) — 910 (Bar ead yang gn oe te ‘The ealenetione are gave in Aygendin 8 for = 72 The steady stave sluson is Tain 8 = gy 285) 0(8) owes mtr 2s ysinans), 42 ‘where emt equa (7H ry Forsinpie 2 ts the noted oueenc ‘yet mfr $m “9 "Th tar le Brome tte rin oe + 24, (5) oe as, sun he oss output suka & fo Vem[at 248245) mu} a oe empresas of chy in 8 wg pow expe ir Bee sev ld fre ck tte pr rare BOWS 5) Anpotnat (2) 1 af fSidebond owes) 17H) ay on Vee Power Pe 0 1H REE YSERA TRANG SOREN, ANG 18 pat signa! Sisband Power) ‘Caries Power aye ‘The ealslated sidoband ottenustion, i tke present ets, is about 24a, Ta onder to verify theve rows, eysation (8) hee boom zolved mu sneteally for abe folowing varamister value: 9) — 94 Gn — adel = "O01 and {y}/8 ~ Trl fhe eomputation exe shown Be, 3 ana eae compared in Tails T oll Uae ead onde iton giver by enantion (1). 25 Compaen Retin the Action sain esanaore Tr the men ofan injoted current phaso-maduleted by a sizusnial Fide exctasin, ths Fearing sopertce ef che iy jotion Joke oxelater Ohumiavived by a singlescle resoustr with 4 negative resetence for be compared to the flare efit of tae same pastive cir “Aamaag an injected earront eq 4 J con Cnt 37 sR) te power rie betwoes: the spectral eomponst 2 oe ‘bay '8 tort pear resounar, 1g. 5—P me ior al alo an esedsgnl hag aid wT eee a ae rotray ae wnvanesaroR on "Tanta 1 Coranison Boreas vim Axarrnie Armoxnarion Sononrow ax ma Coven nu Bonvie ion Saan | sinter ap Santis ate YFoking ino aemunt that die — iP)", the Jacko oeiiazor pits, fr 8. Bos alle] oo tee uP th hing un Foran FO ree sig bing 8 ‘Enusoidal phase eurson of amplitude +/2, Oe loeked oeallstor acts (Siw inglytosonant ter with a oflertive given by rap = [ame mn) = fe om) ‘Te maxiasam eioetive @ which ean be vbaalued degené’s un thn ‘iun-loking beni achievsble The macimur-loe'ing bw ie tied by 6) minim frequency ont os we Ge) over Tove running equeney stability n/n (ia) injoted signal frequency stil Ba 10 slow varistion ofthe frequaney ult « — ay , beeen te injected igual frequency ud the oaeilatorfroe-romning hequeney, ean be made ‘approximately cual to 20 with a lov-irequevey feedback loop st ‘we in Tet, Ip Us schema, the miner onto signal contain © feurent proportinal to — ay; te oseilitar mal Iebeney oy ean bbe kept tuned in by using this eurant to costo] a auitele oscillator parameter Tne sume a frequency stability of 10°" fore and wen Anke a ety margin du. = 10 Son one a maxima c¥owtve Q given by 1 2 amu muneverse ews ound, seamen ui aan Cohovent Pie Peet CCouscent nse doauton involves a sipeton ofthe PM roesived sagen bye Ioeel rouroo wil nwo wosatant pace and the frequcaey ofthe carrer asda withthe nied equal. The leat ure whe fs reeded to alive cle sr delet eae blaived by vn the fiery propertie of the injeetineloned ceils Tor pave ‘moda siguale 7A block dingran ofthe digital desvatutor is shown in Wig. 1 The cine i this comigurating, i loko by 1 Fraction of Uo roeived nal. The fltsing ptopertis of the iajectin-neled cosllator are lawl to remove the phate madulation from the put signsl and Aatver « sinaavidal ootput st the feqveney and phe of the wie ‘madulated eure this cxerier i ust tthe local reference signal for synebranous devection, The mixing of th reecived signet withthe loeet roves gon 4 ontent dependent om tho phe of te received sgn. Correct dernadulition i oblsined i> she Cie average of the pass tmodultsionstese small over porode shurter than oz: ‘This retreien Toms from the Smpoasility nf rninteinng the-abeee ofthe rfermes gal wrtant le pe oe inl sigan Ya a ven wale {lero from ver. "hin grublor arto for tage thw lor ps foqueee a? lua ones made by hinaey digital maooding wring polar ple. 52 Dewaiwtotion of a Binary Polar Sionat ‘et us consider sm unmedulated efzvee given by eos at. Starting a4 £0, the phase is modulated by a pulae tain of plus anes ral rm Pazed cosines of masimum angpitude equel to r/2. The phase of the ‘eceived slnal ean be written for ¢= 0 0 ~ Jest oe Lom en winre 22 is the imnaling frequency egual bore to th rate of phase tution phe molati of Ue oxi sgl bot verge slue qual t 2/4. The phase ofthe Iceal woucee 6} ~ wf) xt > Os ‘obtained py ths trausonesosition of the equation He = Bain vot — AE sin of, day ot, ea 2 7