# Category: digital signal processing

# Category: digital signal processing

#### 1. Consider a LTI system with the system function H(z). When answering the questions below, you must provide reasonings for your answers, YES or NO answers are not sufficient for full credit. (a) Suppose the ROC of H(z) is {z : |z| > 2}. Is the system causal? Is the system stable? (b) Suppose the ROC of H(z) is {z : |z| < 2}. Is the system causal? Is the system stable? (c) Suppose the ROC of H(z) is {z : 1 2 < |z| 1 2 }. Is the system causal? Is the system stable? (e) Suppose the ROC of H(z) is {z : |z| < 1 2 }. Is the system causal? Is the system stable?

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#### 1. (15 points) Let x(n) = u(n + 1) – u(n – 4) and h(n) = u(n – 2) – u(n – 5). Compute the convolution y(n) = x(n) * h(n) analytically and graphically.

(15 points) Let x(n) = u(n + 1) - u(n - 4) and h(n) = u(n - 2) - u(n ...

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