Question

Mouzey bighalsledsystems tionne 907 octet Acone s ona 27/0 y the 13. The input-output relationship of an LTI system is deseribed by the difference squation: n]+0.5y[n-1]-xn], Try to figure out two possible unit impulse responses for such a system. Then state which unit impulse response comresponding to tomer les modules com a stable system. 2, b) x,(2)=z" +62 452 | > 1 14) Find the inverse z-transform of the following signals a) X(E)(-2 XI-2) :-5 c) X2(E)-0.5:)1-0.5 )0. <2 15. Find the N-point DFT for the following signals b) x[n]- eR, (n): c) x[n]- sin(a,)R, (n); a) x[n]- R, (n); X(k) 16. Given that XTk]= DFT( xfn]). Prove the following properties of DFT a) DET(X(k) = Nx(N-k); b) 0]-- 17: Given two sequences with limited length 0sns2 3snss etar 0Sns2 3snsS -1 Find the linear convolution, and the N-point circular convolutions, where N-6 and 8

Answer 1

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