BSTJ 40: 5. September 1961: Compression, Filtering, and Signal-to-Noise Ratio in a Pulse-Modulated System. (Marcatili, E.A.)

13 MB·English

Compression, Filtering, and
Signal-to-Noise Ratio in a
Pulse-Modulated System

2
(iti ee Api 19, >

AL MaRcTIE

Some wspite ofthe tonemision of Gaussian pads i a Srgorneaivie
sion malig sytom have on oleate. £8 asad at each sha
Irons ncn nope, eka mye nominee, with np ad
‘utp ers ae that cack ehtene cri Sacto Bree pif
‘eth Murmtnoi same af be mpul ple ipod and nip fers, The
Torna tha (a teamamitine amper comin, (6) waaay Ho!
hannrtdreping Ger af rt ssn! esr, wna £9) eats ef

rng nthe mite have an aaa tz wuss vai, fine rose ed
Seon eae fe teint
A proposed lou distance waveguide «ysten" wil eanande 8 be

sumer of widehund PCM ehanne in single waved hy eu of
2 Trmaeney ml ipkaig avagenwnt. In preeionsypers# an ealied
omprcy mulipex xpsenn vise aaiyee. Tver considered a
yet in which cach chattel sgl consisng of sn enrrer palo,
fives ala eeetar eter with thier evant! xls Lime eros
all, eb Heng ad ruling ees cio pees
neiey rassal, whieh is the tore frm weighing shames
find (6 choral oie generated sally lve Ret mnphion of the
feesiven nen the antacid sigaale caer cron ine revatio the
polos i esi elneuecenstinc ere wae y alate co the pebble
tre TL te Sena os Ha ray ioe probity of ero tik
possible so design the flvers in such aay thas a very desirable seell ie
Achieved namely, the szalranwons iivinimaion of time spuetng bes
Ive aurssive pale, of foajaeney reparation Debwcen neighboring
‘hanes, ad of eigalto-aiee ra,
VR mia wnsuiNe RETINAS JOURNAL, SERENE 1B

“Those onelusons wen eis hy analysing linen system conest=
ing ranseittng fier vc wenger. Such w seme dw oo
sive munntlative annwers to Uhre pravtial questions:

i, Because RW power is expe itis desirable «
witing emmpliers as Fo ae posible, und conssyeutls they manst
erate in ta noahnene prin of shor ehneacterati. What sho i
fence of noclinea>y om the eystem's periormanie?

Ti Tiere betes eustatting ead reivng amples renee the
ignal without sunny he sine. Comsoqureely. in ondee to izerets
Fienal-tosncivo tia nul he dasrabie uo hve no ter beeen thas:
pliers Bt en le fequerey cre wld bo proaiitiel high,
Hear much filtering before ud stor rach amor aes » etch
compre?

ii All af the ixmediately swalble hansel-dropping fers that
once (eaters and overs ith the transom seedia' 6 se
Snyeintaly Hatters filers of fst or seond order. Pili belong
ie ine hal wl eve peo Hei poste in psig thnoughneigh-
orig ennel-cropping lens, Hoi the frqasry spasing of eannels
Mead by ths los?

"The object of this pwr = bv assrer thoes questions. More epeiily
wwe wa (ord ont the infenees taut eompression, dite: len
Ing wih spo (ae amplizer, und the se af Us availabe drooping
finers ase on en ena, nequesey crosstalk, ent signals mise
ratio Theres tend thos alnaly vive previous!

The Section TT the stereo bo nile eevee and he fue
mented formulas ae introeed. Th suse ol pghinng ehsmnel
Aropping Hers and noun wf ampliers ro deserted in Berton
Taal TY. Sigua toni rats eaten Seetion Vy ani ede
ign examples ace given in Beton VL. Seeion VIF vata a résumé
ff rv al ecm

“the epsom to be analyz, Wi. sally phasesqstine. "The ch
fect af import aliaton eu I levied? a8 a pecurimtn 1 the
seals teed ii pape,

"Table sows thas che Usasfor chavactersie ears toanaiter,
cecluling the ansplier ie Chassan ard chat that of each meter is
f2ven by the sas of to alah displaced Gauss furtione, whieh
oprosirates she ebgrneteis eof @ maxim Fat Batterwowth Stor
likin onder and ie coy to hse matberstielly, Quanta eee
“tue for the elestion ef Have ile ean he fd it previous popes”
omounssin, SNe, SlevetonNOIEE We HE

Shara

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Pig 1 oe digeram af sso re dito of or in Table By
Quliaise masons ase that these kore sake go vom fr
Too time ersstale ad fecuensy essa Ln fet, order to
tnive he of the wisp ules aud enssoanenty the te essa,
it yon I sho ve. both tens Ginn, Osho other sy
fer ro siniine fives ems t word eet to have a
Worn aeasimally at Thuscorwordh) of igh oles § essine erie
Diovnive achieved bye making one of chem Gavsdinn wd the ther
Tiasimelly Mat of High eer, A tsumserwiaracerinie rebaive'y ene
tse tint too mine tail acter
Mat ir hdd, bil dot

1 the trina an sor ate ceened at ube ears Srequeaey,
the trunsrsixinn tnvngh them aseasures the fisetion Toes tabu
"hanes IC chy ze contend st deren froin, tho tame
"gh am rvsstes te Fee esa

Tiara sranamiternelues three filters aad tia ample. The
fier Ix preceding cho amnplifer and the eombination af The two Fal
Towing ity Igy ate Ganesan, Lge sever erase of Haar pli
Tory terse and 2p whose rombined transfer characteristic is
anpinianly mgaina'e Het of third mor This heals ne #3
fracuate the efets othe aunt (Teving prodigal
teach amples,
Lay ncencn penny aommnncany mano eon tf PVE — OS

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wor sath
“The sanelabroping leas Ty 2, Sy ae eating thet
nied edi al Leer Porte tially a of
toe asco order. No chansel-iepping liter hive been indisted in Big
tothe let of te teuemiter nor to the rg uf the ceetver, becwee
sarc ler lt inTgenee the stanferehurnctetie between tre
nile a revi
sion pe mousing eure in th ioe vo he wvetem,
amplitude bas een selrted in sich a way eh the uzplitede of the
Pcbo reaching the noulinear tsunenitery simpler ie unity. Lhe on
velope of the autout palo zeaching ebe detetar has becr elealted
‘sce the fllowing assumptions

TOF al the voaghbring chan ky Hes Dh eater fraps
inameditoly aja tthe carrer allencs the autpal pale

Te Uae chasacterstic of the chanuroppiag fikens of the
beighboring channels can be approximated by the firs. “hres term of
thew poe seresespansions arsed the eerie frequency.

‘The wavelope A) of hepuleeaching the detect ha ben cleulated
in GY) of Append A

1 ety
pean
Flore eval th sac sang wa lore ll ge sng
‘unetonal tepetston of tis expression ly, co da with te
presen of wigtberng tasers Hoes i how Skce Bd 0
Intec aby woul be ait ashe envelope Et} would be eo-
dia 0

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Ying ampli sire‘ gruerel Iw on ia given BY a sation
rosters of the faut, Those powers ar ok number 24>} 1, ad
the term wie = Oe the only ote Tern! from tro, the anpliber
ieTrucnr i orky theese with Y— Dual N= ture deren for
the anpier Is compression af hid omrs i only ihe terse with
W'=0,¥ = Ty augl A= 2 ame dienont rom very, the amplifier has
‘expression of th wl ith omer; ad sofort.

"Sane we define the sale (1)
2 sons anus envcaae ZRemTEN, OURKAT, SERFS “eL

8

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oo 6
LH Gs? _3_ory
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k ry

s an

0 = 0:3 is « rameter noomalsig he andi 0 w Chasen

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an epproximately muss Me le third one,

vis he outer freq of re ranstsitter ad the rvviee eequeney,

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Sean fate the contr equates of neightoring cael

2s the eanentine bombil rsesure Dll power asain
A liveor aplifer

2. isthe resiving faith meswure hal? power sscunine
Tinea eemier

‘BF the tal ponoe baelwidth of tho Gaeian fer proving the
traning amir,

“iene lell-poiner bardwidth of the Claneian flr following the
transmitting ani,

hey + Uh ae power bandit of the tensmieting Ruwerwneth
amma es,
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ely a)
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and
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naj the od coins the power ooien
wo Daw a)

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Tneusting unple.

‘Wrenn doubie signs ave intetted, the upper one i2 te be used if
r= 20 — fi foccing churele at opposite ede of eazter fy od
1a loser oae fo — I iglving cles at tho sage sie of om

THe tnesaniting minis is tines Gay — Osh » 1) aa the ie
1 inteterrae frome aegring chomnels fe = fe +}, expreson
{2 mess the tears raugh & ebonnel A fy ~ fae the Em
ese ere ok Gi fs 2/0, ulead previo

Assur
{at Lin unmsnicting ampli, Thon

Ae= 0 forN #0, a3)
and ny fst tor of the summation (1) seman,
LMR mm wen AVENE TEER JOU AI, SEPMINEER HL

(hy Shaner ad reve contre atthe re frequency,
hoi as

CHT #4 the entpat ensue £1) glen sonditone {15} and (£6) ae
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freak of the vutpul (1-= 1) teat would ese i he elanele were ine

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Maw
TH
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pier weasel
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fisere of fist onder “Thin Pig mal for maximally xe Ivers
tf euond oils = #2) Tig 3, The abveieas

Lif) la)

2 TR

ee propetions to casenel spacing, The ros eoreepord to dill
fatios P/F: been the bodwidth of the chsnneldeopping reeiving
filter aid he faith ofthe reesivr. ‘The diferent eum core
ond to differen nutioe Phy Ison the bony of the chased
Temp tranemiteing ter a bande of tue transite. Tw sald
les corempond tothe nti between (he Lranemttng and the receiving
nnn y/F, = 15 the date Tn to cho resto By/Pe = 1s the
au solid and tse lin ar sel a enzves eorcsperd 2 TFs =
DAR ad th lnier sok nnd dace nes eomospond to + TF; — 1. We
Juve chores otto ilu anoher variable ho sletion of signs in
He espersion for ga, (8), Uecwte effort sll. The two possible
crewares see B18

holes of sigs comespond 16 thayuenvie andi of the neighhoving
‘umes an the seme nr ditt ides of J. Tae Rs ease inrtoro
bbl fe the anges of wanes levtd fa Figs. 2s,

este iforene in endioaes for tke fo es
ipromiso, Fig. 2 ead 3 Hae bees. ext

Tay avemging the raul
“G0 rw mans exerex ReCABIOAT SOCAL, SHUNT

ig — tote des osm norm arng cca

Let as commensate om Tig 2 (@ = = 15 ah is, citetaroppina
‘sens f fst anien) What paretters el a ayatem with Tow inston
Tins 1 elghtwsing chal? For give abecies. uunnmizd chat
tot spacing peels? ana ases i he ret inn he pes
[ete lof uv, This eis cestetesze hy

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