Question

Abdujaborou Student Tohirjon Group: Iskfuc-17 are: s. Determ it following systems Static or dynamic Casual or noncasual • Stable or unstable. y (0)= x(n) + n 1-1) y (n)=x(-n-3) yn linx(2n)]

Answer 1

3333333 -x; Yeo) = xin + nx(n-1) a static if oupput" of the system is depend upon only present" value of "input" of the system 2.e. static (memory less system) otherwise dyn system, yens = xcngt nacn-1) n=0; yeo) = xo + 0.x2-1) Y() = a(u + aco) "Past value a n=1; "dynamie system" Ans . b) Causal and non causal - If output of the system, 18 depend of input value of upon only present of the system. not input (e. causal and past value depend on future otherwise non causal n=1 gens = xin + nxen-1) h=0; y coj = aco) + 0.2L+1) You = x W + lol y (2) = a (2) + 2. al 1) - Rast value Causal system A p resent Value. n=2;

all stable or unstable - If input is bou signal the output must be bounded for value of n". ve x A finite for all ini you finite for all in Zly eng lan can for all in' n=-00 yens = acnot nxin-1) xen) Bounded for all ratue of in X(DJ + n.acn-1) en Excm) + nx(n-1) <0 forin' M- Unstable" at nooo Yeo) x (not Bounded) . yen) = x-n-3] n=0; Yeo)= Dynamic system x(-3)

gen) = x2 - (n+3}} scalling porcoperty is applied. {xt-n) — W xen) } YO) = a(n+3) no; N(3) "Non causal ". oll depend upon future Value of Ep. Yen) = xf- (1 +3)} Y = xe n+3) n . Exin +3) < . stable " supput must be bounded if an is bounded for all value of in'. Yen = Inacang Y no n=1 ; Y+O) = 4(1) = 0 n(2) Dynamic system" b) "Non cousal Output value. depent upon future

3 if § xin) < fost value of "no then § yen) < must be for stable system. Inxeans | Lo for stable system for n=00 - this system it will become unstable so system is Unstable {for noo}

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