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2. Consider the following impulse responses h[n] of linear time-invariant (LTI) systems. In each case, (i)...

2. Consider the following impulse responses h[n] of linear time-invariant (LTI) systems. In each case,

(i) provide the transfer function H(z) (ZT of h[n]) and its ROCh,

(ii) sketch the ROCh in the z-plane,

(iii) mark the pole and zero locations of H(z) (on the same plot in the z-plane), and (iv) discuss whether or not the LTI system is stable.

(a) h1[n] = (0.4)^n u[n] + (2 - 3j)^n u(n -2)

(b) h2[n] = (0.2)^(n+2) u[n] + (2 - 3j)^n u(-n -1)

(c) h3[n] = (0.4)^n u[n] + (2 - 3j)^n u(-n -5)

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