Repeat Prob XXXXXXXXXXusing a = 2. Prob.7.6-5 Let the LTID system shown in Fig. P7.6-5 have (a) Determine the standard delay form difference equation description of this system. (b) Sketch the...

Prob.7.6-5

Let the LTID system shown in Fig. P7.6-5 have

(a) Determine the standard delay form difference equation description of this system.

(b) Sketch the pole/zero plot for this system. Is this system primarily LP, HP, BP, or BS?

(c) Determine the impulse response h[n] of this system.

(d) Is this system stable? Explain.

(e) Is this system causal? Explain.

(f) Determine the output of this system in response to x[n] = 1 + cos(πn).