Problem

A causal LTI system has the following system function: (a) What is the ROC...

A causal LTI system has the following system function:

(a) What is the ROC for H(z)?

(b) Determine if the system is stable or not.

(c) Determine the difference equation that is satisfied by the input x[n] and the output y[n].

(d) Use a partial fraction expansion to determine the impulse response h[n].

(e) Find Y(z), the z-transform of the output, when the input is x[n] = u[−n − 1]. Be sure to specify the ROC for Y(z).

(f) Find the output sequence y[n] when the input is x[n] = u[−n − 1].

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Solutions For Problems in Chapter 3

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