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Sil1~al don Sisiem 01 Prof. nr.lr. Dadon!} Gunowon,M ·£n9 - Adhi-Wd satrio Protqmo - NPM 100~S997.5, .... TeKnil( flektro 2010 • 5in~Q17 I\uon'fifQS tiS;k .yon9 rnembawa illformo.si. • Pada Sih,yol diskrit : )(n ~ X [f) ] :- X (r@ ; 1);:0 I:!" t 2, " • t vnerva J samplt'ng • Sil')~QIonol09 7 sin801 Kontinv • $ih~ol di9ito/ 7 sin~oJ d.s)(rit • sm~q / gel'lOfJ : x(-t) = X. l t) unra« S-eh1vo t • S/nyal 9an1il : x f..t) = -X Lt.) •.. lnN/( ..Iemva t, • S"n,yQI waktv - ~on-tin\.J)( et) run~a I<omponen S'in&q/ 9 a "Jil dOn senop : Xli) "" ~eLt) +>(0(1;) X'e l t.):: ~ [>< (t) + X (~t) ] >(0 Lt) = ~ [Xl-t) - xC-t)] • Coh'toh : 9ci9iOn aenap don eanJil dor; : >< [n] •• t 3 -4 fi:\ 0 b .3 9 5} W~fonQh m€nun1I.Jl<kan 0 s-O , ~ X[-n] -:: {s 9 .3 , 0 2 -4 3 J .,.. ~ Xe [n J :.~[ x [n] -I- x I -I'\J] { S'9 3 9 ::: 2" 2 i Z. -2 ~ -2 ~ 3~~ 1 I Z 2 2Z .., 1(0 [1\] = ~ [~[1)] - x [-nJ] z: {- 2- 9 -3 -3 6 2 l Z 2 -2 0 '2.' 21 J s] 2 2 'Z • Sinyal periodi/( I(onjlllo.f ,?;},.It::" per;ode X (·t) :: X (-t, "l\.Y.I ~ \'€tiode d050r 7' horao T ferkeq'/ -7 f:.!. I -7 frekuensi S\.Idl.lt eo = :2"-f = :zn... I • sl'ny Q I pen'od./'k DI'Skrit: " 1 b ,1 IC' "ons1an Q flQ'l!)cm X[n J = x (n +@ bvJo+- positq. ~ pel"iode dosar -7 hQr;9C1 N tertceci, . -7 t=rek4ensi ~vdut doso mS/a; = 2/'l- N , Jfka x, en] adoloh Periodik de~on period£> N, do" )(2. [hJ odalQh periOc:/fk de'19on periode N2,mokq :_X[n1 = X, (n1 f X2 (n) don hell] c x/ell] x" [n] JtJgo rerioc:lik cJen!}on rerioele'dosot' : N ::: N, N2. sed eN,/Nz) ~ 9c.d 7 9reqt£lS+ common divisor Cfembasi ~E'r.50mo 'terbesar) • • ~fJ1~al determfniS"fik -? ~aT)9 bisQ dite.n/l./kan I~qt rrosfS +er+enN at04 e/(spresi tv1atema1ilrq • 5ih.::JO I acqk -7 sfnyal .jQ1'I9 diban9K{tkon secaro Clcal< don +,dak b,sa diprec/il<5i l1nN/( VIIaktv t<e depan .? cont-on : noise, • "~al ene r 9 i dcm sm~ol d~a -7 Do,ya sesaa+ 80n9 cUdlsipaS,'kon R: pet):: v:1ct) = ;z(t) . R R UnNI( sefiap hClrsa ~ '= , .n: , MOkQ ' ~CI sesaat : p C~) = vllct:) = j:1ct) = )('2 Lt) . -7 f.ne'9i toTal JOt; ~in::Jal }<onfln\4 J ~ ~ E = x If.) dt-· -~ ~ .l>ayO rara -raw ~ I p:: lim J f:l. x'2. (-t:) dt . T? 01) "-1' :z. PCldO S'inyol perfoc/"" XL-€') densan penccle T : 1 p = .! fa X '2. LT.) do{;, ' r' -T 2: ~ flle'9; ~I da'; s(nyal d,'Skn't : 110) f .. 2. x~[ n] n:":1:\) -7 Pa,ya rata +rat a: IV r- t,m ..!. ~ X-2 [n] - ,., ~ ()Q 21'1 n :: -N ,v-I r= 1 £. x2.[n] f'J 0••0 sin&al ener9; ~ d.~CI t.erbqfQs 0< E <Do • ))P:.o. s.,·n~ QI d0.::JO ~ dct::Jo te,.batas 0 c P < Do c=o.

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Sil1~al don Sisiem 01Prof. nr.lr. Dadon!} Gunowon,M n9

-

Adhi-Wd satrio Protqmo - NPM 100~S997.5, ....TeKnil( flektro 2010

5in~Q17 I\uon'fifQS tiS;k .yon9 rnembawa illformo.si. Pada Sih,yol diskrit :

)(n ~ X [f) ] :- X (r@ ; 1);:0 I:!" t 2, " t vnerva J samplt'ng

Sil')~QIonol09 7 sin801 Kontinv $ih~ol di9ito/ 7 sin~oJ d.s)(rit sm~q / gel'lOfJ :

x(-t) = X. l t ) unra S-eh1vo t S/nyal 9an1il :

x f..t) = -X Lt.) ..lnN/( ..Iemva t , S"n,yQI waktv - ~on-tin\.J)( et) run~a I< (t) + X (~t) ]>(0 Lt) = ~ [Xl-t) - xC-t)]

Coh'toh :

9ci9iOn aenap don eanJil dor; :

>< [n] t 3 -4 fi:\ 0 b .3 9 5}W~fonQh mnun1I.Jl N, do")(2. [hJ odalQh periOc:/fk de'19on periode N2,mokq:_X[n1 = X, (n1 f X2 (n) don hell] c x/ell] x" [n]JtJgo rerioc:lik cJen!}on rerioele'dosot' :

N ::: N, N2.

sed eN,/Nz)~ 9c.d 7 9reqtlS+ common divisor Cfembasi

~E'r.50mo 'terbesar)

~fJ1~al determfniS"fik -? ~aT)9 bisQ dite.n/l./kan I~qtrrosfS +er+enN at04 e/(spresi tv1atema1ilrq

5ih.::JOI acqk -7 sfnyal .jQ1'I9 diban9K{tkon secaroClcal< don +,dak b,sa diprec/il
r 0 per-asi d'osor sin.:ial ..., pado vartabel .bebO$

)I redo variate! terl/Cot.

Podo VO/'iobe I TeHfCoC1t

I. ~nsKQIQQn Amp,,'hldo

~(t)~CXCt)

~[n]-cx[nJ-7 Bila n ~ , ,confonn~Q ad%h ampli{i@r"'lpep.!juo1cm~ gao n < I ~ dl'sebl.tf a~\Jqsi .

2. fen:J'4ri1/ahan

:Jet) ~ X/Ct) +X.zLi:;)::J [n] : x, rn j + )(2. Cn]

~ Conroh : t-nixer ot/dlo r:JOn,g menS.!JQboJn,9kctn silly 01.Iu arC! le muSi1< . .

.3. PerlPrC-t):: - Xlt;).

3. Per9eseron WQI 0 , makQ s(ll~al cJ(gessr t=e Kanon,no to < 0 , mQ"'ct sln.!:JOI d".9{J.5l'r icE' /(;r;.

--r.entuk DC/sa,. tinYClI

1. S"()~qJ fl
:So StrJ~oJ Rktqn,!JrJ/or

Oirero1eh dad penJl.{fYl/Clhan 2 sfn~al unit S1ef. Def'jni.>; l/Mum ;

A feet (?~) = A (1I l t +q ) _ DibenN/< dOn penamoan :

x, et) =- At4 Ct;- TO,S))(2 rr ) '" - A ~ [t - 0/ > ) .

Me"Jadi.xC-t) = /turf: TO(5) - Ih.t C-c-OrS))( (t.) e A rec..-f, (t) .

U et-a) .x Lt)

~~

(0. Rln9 si Si9nt41')')

peft,.,j~; ;

{

'it')OS9h t" 0 i t; = 0

-1 ;. -t < 0 dQ/QI'Y) V1)i7 st-ep :

_- ..-1

~9n t ""- 1+ 2U (:t ) .7. fu'l9S; Delta DlrClc /Impv/s

Mjjoln~ a lonJc:H
2, nme ~va~fr1.9 don ,flne- ;nVarian?- ~(J1ern,:yoT'l.!) :ri/(Ci cliberi mOSU/(on x et) akan ~hrlNI!m1nNk.QIl ~2 Lt)cCar11ah ~,(t-lo) clan bOil Jr'njKQn ~rt9an Y2(t)c!)fl( [k J kausol

- / 0 ffr.9onNfljW\qso de.pan

~ en] #! x [-nJ -+ hon l}} = x Ct)

Jil