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LR nd TTR Syste
e) statc and dyramic syster2:
Stalie Cmemey less )ysterg A yslem is said to be static (memey Cos) Syctern f (^) te (^) outrit af (^) he ystem (^) depends only upon -he^ hesent^ npt. 3act) Hor di^ scsete^ ime^ domai
sGlel202y
31 C0)4+|
Dynamee Cmemoay)sterg:
ystero s alt to be dgnamc f Hhe atrut
of the Syslen deFerts hthe net only pre seo, but
also (^) rast (^) and (^) atue (^) Eoputs
also
upon fon (^) deschete tirme (^) ctomaio nobßeg: Fend the otlouug ysens e (^) dyramie 8a (nt4)
8en) JCe) depends^ upon^ the^ aCt)^ (pore^ sent)^ and^ aQt dact) Je) a (^) he (^) dyoamte Sy (^) stern, () yen) 1C3n) for n=| x(3n)
ycn) s dynamic System
.ycn) deperds a(tot)-act) neas nd dop-ineo systeg! ) SyHeng^ s^ sa@d^ to^ be futuse npuf of Cn), Satisfier he Supeposcton^ pincide, odhesse non- Cinean systern.
Enputs.
Supea positton pa~nckple stafs 4hat Jhe cightet
|Stury of the cufputs Coore spothg to -the eah oi
ndfolduca Eoput sgnals c equal to he cupu
Seury Of^ the^ &duldual Let of (^) the (^) orated ekghted Pquse. Crnstdes the (^) system as^ shodn io
So Gi) yct) =nC+) ) +047,) atfi))
The guenJeven Systerg s (tneaa system.
aryCo) y-aat)+a24: (e) Tyen)=acn) 2a,Co)
2 & (a,nncn) 2a1Cn) +20, Cn) t yco) = Ta1^ Cn)
2014n)+ 2ay2scn)t :GEen S4stem^ Es^ non-Cineas^ s System. ah-1) 1
the glver^ spal^ a)^ 8s^
deayed
he delagef^ signal^ a^ ()^ is tns and pa ssing -hcugh he Saiye systers as sho0n beloc). xCt-T)
S ge-T)^ Jt),^
-hen fuen^ systen^8
calltd
tne Ena 9ciant stem. 1f gCt-T) gCtT), -then guen Systery &s ald tlone Naant yen. the Systeo as shocon n uput is ycn) as Shocon En beloco, hen he 1f -the oatput geny s dalayed ty', then alou, input s celaeol by R eunt and Ahe (^) susutfant (^) sianal a Cn-k) s (^) passéq (^) hecig Sqstem ar shoon in -yure fhe same yn.k) Raid fo be tEme- neslant ystec.
yn, k) + Cnk), then the syslem oe -nsant ystem.
olem.
Check cohetheh -the -fotloulnq signals teme vnoant ) yCE) taCt) n(t)y)(act] a(t-1)47ye)-at-] tall )
The uor suSfaro a
ne (^) vasiatt
sysier)
Stable and tnstabe ycte The Gnput^ siqnal c)^ Es^ Said -to^ be 8f Satêsfes -he Ia Ct)|<Ma20 fon all values of
onitude of Stanal zc) most be floite
(ie, naftaite).
smilaaly, tutpd y) said to be boturdad
4t satisf&es the fotlodêng Concil ion.
7he ampltude^ of^ scE)^ mast^ be^ -fiaite. eMyfnite) Stable systerg '
foa boeuded Eopet act),he
output (^) gctT ds botunded,hen the qien Syskem soid to he Stable. (Myca) Stade systen Unstabe syster' Fon boeurcecl nput a), the output yct) & Lunbourdod, hen he g8uen &stem ts gid to be unstabe
C1n20) (My)
Unstable systerg causal nand e Cau s 1he system systero,: ad to be S's (^) calpuf (^) depend s (^) upon (^) ot (^) only ne sent (^) and past (^) enpets , not on (^) fatea e (^) enputs. Non CauLscal -System YCt)-2nCt) t (t-) The Sy ster sa o be CauSal a's (^) outpat depends upon (^) rot (^) only pesent fCt (^) eoputs (^) but (^) also oo fatuse YCl)=22t)taCf-s)tst+1) pata, and
