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‘Time Division Multiplex Systems Ismnonverox I ides of teasing and resivy, fevers signals over a common line by means ef synchronized witches at the terminals ie quite eld and bas been used in utiles ‘elegy for mary peat, In teneal i signal enclave he prided vs ne line, the switching fle includes 37 equal time interval one of which f allotted to ch Snel. Each chee! is conve! tw the ire througnt « pet of ts Tatiular tne Interval and is scons vmughout the remainder of the eeele. Abwrnes of nterenmen between the chanuele depends won the fat shat tie chanas ve rannected to the lie zoyghout sualy ‘ercurve Line inervala Te ie thus possible to avoid the use of el bart filters rl we are eceey in eerie svete emaoyngfsequeney as che basis of epuration Anplicetion of time division soltiples usta ow telephone ces ‘hae boor proposed from tie to timo and cite espciments have. bon anate! 8g fay evident tht the cneept ol simple oncandoo itching gine aermtey rene wad tuples auras fo the Spa rom 2 areal sean she ie Fe racente foe spesch waves Incl legion crite Tnperiertins in the tsnamiason properties tl heli end sit the wave eso te sorercsve sna compencus ul pein she cnet of signal inte time lee fr 3 ies fat chan Liste jel of his ep to preset sera quanialive iscusion a! che fates whica eter ito she sreneon oF tay 1928 of ‘Siva by a aysear ofthis had H has been fond peesie fo aie at Aes leis for sich tier as the sone switching ferme the Csnifions fe inset om eanset tie for good ost auppesion wil esumeny of juenty ld andthe trntenson requirements hich rust be mt by te taevaning cs Lo old the intclerece beta heanel to sclerble values. ‘The snalsss fe diesly to a phyeieal ‘iewpain af the ok pss whi, ee fai with the cetien al 475.8, 150958, 9 0 sidehare!ilesopay of onal ssautison, Taminatce be sanser i Ithichdelanes stom ideal amplitude end pase characters cause Ceestals eter te ceva ansenge chieels Ti farther als ety ther pce! mites for procacing ad oc ¢ Fenster sl heel ith the eeu component desired in tre visan or itching possi A dist step in she danse salto of the problem was taken by ‘Din JR. Carn, sho, in on arpublished rersorudur of May 25,192, fhestiee quan itive selione be! eeu bare wid wl iterchamce inte ference in tine division multiples ‘naemision, Appying Foie sre tals toon sad switch, hesbowee thai the Uanassson medion ha eonstane atennaton sand nene phe il for regen below i an no etanemisan requene above the cut the and widch iycied for stifacty tice el ateponywnll e nue. wider “ban otded in ermventioe! carrer nwtais, A forlieratep ce taken hy ‘Dre. Nycpis, wo, in urpublhod rerorals f August 24 196 am November 12, 1996" shoges bab she mith of bos’ neccesary may toon! hy proving e spvhlly vied type of som-aniflor trmamisson harutersie. Tn che folowing ascuesin, we sal see that 2 similar fev a Le obtained hy stl of the sv beling, and species ching proves! wllbe cesribed kh alow «Fat Laat ssion had of minim i Labo we “h once tn ave at squiterent ee mast be impsse on che wsious component! ihe system, me sell ist give a theory of time division hutsles Uransmison in elich both she switching processes and the eaameaien characteristic ae manpetly gener. Specie ferms which Boe crowtlh cappessie wil lau be deewred and effect of tral de pertues estimate Grover Dreamy ‘We shall sue an W-chonne! watem wth sinusoidal signal preset en thegt rlanael Aa ives armngemen: show in Fg. 1 Since the apse i near, we ring rsywereat curentsand wltges Ii osm slex (patties th the vvedenandog thatthe actual currents ed witages fi the real componesis nf the exgueesinw wad. Accordingly let be Siena wllage tipesrd the ehzazel be Edi = Pe wo eevee mt Noa’ wn wee aed i ps CSERES tg antaeae snd Jt the switching botrnn the ehgael sd he Hae ot the sein fn be rpm by Fs8) = REAR AA, ei here (0 ie the eaten Ming inte Tne Fo Ube aan. "The function Pf) has the dimensions of an aimitance and the anmngemert Sow in Fig. 1, perl ire wt fares snequeecy ¢ = 2a T ‘eds pee second, there Ti he time cecepd bone evel oi “be a Tnx apersion Inthe interests of corey of eal, i ue fur i) est Betiacs (1 fan ig. 1 lent arangenent er tne dvs mle ation Aan ie ciety lve oct ne aertncany ean oF Fig. We stall I Pi) = & as con le + mt — Ht ei Torake te resis applicable to Fig 3, 2 may let» ~ sy hen by he sun Fourier series analysis syns ow BL Bi cma o “the wave (8) consis of tae ont ofthe cout of Hi. with foguese Cosmet hy a constant enn + tudians per eeu; various means of Scomplshing this rel nthe switching proces be discussed Iter Tes cfiens 1 eis ou Aete seat such 9 sift in Trancy Toft dee abl for optimum tition of he tanssassion mer, Coming 2) and (3), Hen ae! BE saloons 4 etemenittny is ele froma (5) that the rel of she wviching proes isthe prod tion of upper ant ve ail reguerces ror Uke gal en each airman bf the ste fequency. Ie fess esut shat # more than one egal Component i superimpose, the seul sie sequences consitateske- fonts of Fie sate neice a ol fn amptade modslation systems. A Spuifeat ifcence berweet. tue divin aye. amplcude aaoduecion {opens in Ut in she tte oly ne sideband or i one pal f side heres rzagmited, hie the eet ebarncter of Fine divin depends br he tetmngsion of plusality of sidebar. Thus ote pei of silh- Irn wove aete Toh Ee at (5) hy losing, te ve division proces would merely be a poricahe way nf generating the sidebsnds Foguird fun calle modantion sya Theat nein Gime dvr system i he teasmaon ofthe wave (8) cree line. The popes of the Tine iv gencal my be speciged by a Complex tamer inpedance which we may exprest hee by the rato of fpersidt uspe Yoage tinal Rent: Bh = 26s) © The seit of apply tbe wave (8) to te Hine ie hen she opm voltage: Ease om oe ; o , AS acto tae hnnne I he above me hast opted ts notation ZU) tw sepzseut the cone Jaco.) aod bag waders of te nthe espe of anetwire {tae apple! wave es the coajute ofthe mses te At the seeving el anther switching pms takes place yncronously with st atthe testing end. We ell sssunte thas tbe setching races eter the Camel ara the Ue i eprewentel ly Lae lati Tall) = GABA, ® Gall) = Ze Bus cos iv + melt — Sa) o Combining (7), (8), and (9), we find tat) = BSS sailed we 10 4g ZL Aba rte + 09 ed) [cette Bay Aad | lin mete tear ea apy ‘Te msivo wave thus caasste of a dovhly indie lof roquencias invating amorics of qr Inova, pesble lo S€- up cain, nvr eich shes sgl mee eto a eer vving ‘heswitchiny ew ey heaupprensd by ftering, ty ~ Oy auch epation inpomile proce eres an for i the flows that lease Ste wich extol fenéaney at 4/2 wll fon ove any af che components with Srequencies dejan en 9. Th Condition 11 follies fon ihe fac that tae loneee Geqaeney of 10) lepescent ong ing ~ saa Hence we mest mks 9 0; > wy inorder co fepoate from yc Tawiles words the scbards om adarent be oni me nt svenlap. Ter > 0, the coneition {11 leases we far suppression of terme oem are concen, but an additonal tonto x zeus to snes requis Cea ow 9a Ce spec ceo in which c/o, Le cave of ese than to masa elloeable Sle ofa, Foe i Whe ator ces Uh feceeney 2+ = (8 = ig — is Teething sein thesperilrasente— nt Theaddiiaal odio heeded te evidertiy vir de, Won Bq =O r= Dorit > g72, this condition is unmeresy ‘cing hen thar 171 fled and that «Jow-pus se wth eto 1 p/2 nerte in the ol pt ofeach channel, we calelee fer 2b pica anne exept caren Pat) = Fade 2) hace the value of Fis allows Cow tyro Yo AaB Pls) +} SaaBertioer | oie +2 E estes Moy — ae Cate 2,9 0} Ay oF He = iT at Fa EE tee Zito | amg ele or $4 aetactlie + me = le’ ay ‘The combination of an a towsl iow dvi slips system with Ios filters inthe mvs less I as foul ye ceive to finer actor having 37 palo np aud salt toile wth the arate gains fan hej pa of aps ercral to the $ prof futput ternal Ty Ty in £93; or (7. ‘The eater aemiteace Calalee by suming the contelbaons ul apper and Lat idebende or otmoniss ef tw siti cats and fe adesed dicey by the trans itn: preci the mats the sie send eqnersies, "Tae re She te olen: su" oallsiongeheray fo ine all rose eal eatin tas paper, Weshell ros pra to xsi snarls xan Orr Smntemnve wine Coaatesiaeon Wee an idet somata i gs as a amitehng can, oe vetcing fenctions or toe 8 ebannen we entra ecopt ew time esplacemer: wean tresaere sere all ait consecutive chance. ‘Th’sandion fncxpmetl id= Bk GTP aR, rns BA, theentching funtion for te fins asl Iie ease Satins, 2 tae sore except foe a ie dey af 77, #40 desea PDEIM ete Sel win 15) 3) ges the elon i“ 6) ts nN we rai supyone that He cmamstarar makes conact beeen the teal charnel an Be Solu ftetion #9 the time io 1/6 to ty Ea chmuael and M's nae oughout ts remand of che grin ste, wo may wate the erence swtcing fonction (0 memset ) . Fae = an lo, anay cre Gy —oneN, lene ra £8 wet ust Tr the teosiving device she vureiuding aching prone hel be Teh th repertoire Bea tne tera egal be he Ve ef tarssesion ofthe Tin. Hace rise tyomeay ay Fass ate ele 80 Ba 0 yy i 2 amperes to (6. “Fine of stanevinton ef a dlceting line i141 otha atin, lea tye seperti ne putpase By Unear se say His. Thais, we wske Bliss = Zataie 2) ‘nhere nr le says of amin re glog se Best fins npn a tae place ve iiw-semy surg a Zyl iP rane Fane iay reszaing woe Penh ctin of Gr to41 Pe tual phase sit onda Subst (8) 119; in D2 we ~ ane (Ets P meni + SEY nin aac EER chutes — ole") ae Ifthe eAtanuatios of the Hae ie coustenttheoughewt tae rages; to Ag cs; and il rogue sbowe fee whee eye C1) ovo = ake HE a aE (nme) on tens] 22) * EV en: ‘The nsec rsh arr vite of Salve ta fo thor raved fn Ua j channel when geal abated ia the ™ channels theveloe, Ter Tape (earn » se Tale ~s,ocreoaing mest tine di Ls ine ee Uivay soak. ane si Figs 2. Te ay ier la ‘hannel cvele ils Ball lat Gite & ceulnalal we aenate Caneel ‘otal vile no et tne, Exemication of she cares teveale 9 suber, dt siccass fact, amona whicn sre Cine ste iepetecthy spomeed wen the hand wth ofthe sidan line is grler ts (ve Theoret cal maine Ihe eth ltipid to the ruber af nae 2s the bon width ofthe I ise aloe Pe thant ‘run, improvenst in reese k rpenemie imams say 32 Hh fn (Raera she aera Teens ing He Toe iene exer Sth ser stems. For stn, wi: uo Jost tein erlchag, Uh hand Seite oe line ae: be Hocus tenfold 0 suppces eject chao Sal ly 40 ab, Thi eoasisoa ie orever, to quis a fellows 2 Wor the cstnm citar inca rss herve te shane tine weed) deine optimeretrismsion Ie wths par ehh pee etter ceetalk suppression chan bunds vomawral vider or aeroer, This gests he peep eal pose raion sexing Vere the ce bution frm yn nen Fhe ty sigh ee sing ropes amples sve. phases cam be combined, ceeplete syeion 9 ‘ley etait Led ils i Whew the Staelin vf enusol ize wo, iste to apc xem, ‘the init ft ampli nce 8) forte tpi herent the ate ing fanstio is oog = 24015, wich ie Sncepenceat ofan This eae Sten ith the known tact chit «wave senitog of oto als seated tsxp pelea iz composed ot x leray number of baemonice af realy equal amplitude, If ne we vey shore rations fa cine di, we Should evlingly apc a Luge uamber of eidebends of near equal Amplitude. The eambnaton ef popes membecs aa phases ofthese se Tans Gets « Key co the reazaien of «time dvsien multiples system ‘ving ged ese suprecsion wth economy’ of requeney bend. ‘Suppme thes the dot of eotaet ime i made saScieely small to realize appmoviately the Lining Values ayn — 242/18, By = 2084/9 a trnnamitting and rreivingrestively kr the et 240 1 af te sde- hardeard chat by means of lo-pasSlter with linear phase eit and a ! - | dol — \ 4 ces: z { aah ey || ae Zul | HY Ye | |_| 5 | 4 = ‘ae TE bal and of sachag "Nestea sess Yi uo a oF ‘niform attention ft psa al er Sdebend’ ae served fou: tie fine, The expresion 23) dae bacon! 142 E cm amett — ay a 1, in QM + Natt — iv DH Tain tesa 4, on ‘Lions chat ‘Yoo these esate in chery stem employing sideband an zens c= gueney nnd he fist (81/2 lorie of te switching Fo ey, i ‘Shieh snide orsmisiny is asic witow inerchannd ine Terence, Sine the asjunal condition (5) ray aly be weteon 1° MEE A, on od ora af chase obsnel. Since 2 edebends are iranamitteds the bane wit uted the te a the minor es for Engle sdchund wltats “we atior ckaacale en a fegoeney Hci tor bes, Silebads procnon sige: Larocice nthe time divin. proose seul Ue toned hy Flea Testabe noes tant enn it ssccuaiy of the J side rnatTnutions vehi inptanc and the sca nf 2h centration i Aeersiand by The erintiston charaterie ofthe line as well he Ussing an feveiing switching press, 1 ould be Hoel pile to make xp Toe sideband stmt by equtving the line. However, he cai tion een inthe Hine woud sf “stalatep” ype athe Chan sv hy apne nih quency ence an armen the velue of one harmon of Cae Frithire funcion piocacee she seme ctor Uoogrone she entive ange Seeap hy the pai of she ms esorictd with thas hezwor'e nrremye Fuscroxe name Gxossesni Semmens as Nesta Eason Wave Gama, he above discuss Las wa the properties of a eosunutstor has ed sm lu aa Meal switching Soneson which by except for en urimporant vportonlity later, D142 DE" coe lat — G— N2R/ I, etd — 0) ie type of switeheg ie apposite eae with syebrenizs) cre rrotecom ving sorta lta wore rar cmpeison wh the pase berwesn corel For SUDSovele speech bard she ini saitcing seve oul be 690 cys per send. Suh 9 spe eon ecu ce ‘hte with extinany rc mus But would be Fev with rotating ern beam, “The concep: of combining detected contributions foun @ number of silchaus it proper phase to yive nepace sition of dazed components Sin rancllcten of unt ones lend to x generation of te extching rccees oye those pnsile sila apactronied commas, We rote That the switching Furctons #8) of 2 abd Cyt af {8 ae analogons 9