3.34 Consider an LTI system that is stable and for which H(z), the z-transform of the of the impulse response, is given by H(z) 3-72¹ +52² + Suppose x[n], the input to the system, is a unit step sequence. (a) Find the output y[n] by evaluating the discrete convolution of x[n] and h[n]. (b) Find the output y[n] by computing the inverse z-transform of Y(z).

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3.34 Consider an LTI system that is stable and for which H(z), the z-transform of the
of the impulse response, is given by
H(z)
3-72¹ +522
+
Suppose x[n], the input to the system, is a unit step sequence.
(a) Find the output y[n] by evaluating the discrete convolution of x[n] and h[n].
(b) Find the output y[n] by computing the inverse z-transform of Y(z).
Transcribed Image Text:3.34 Consider an LTI system that is stable and for which H(z), the z-transform of the of the impulse response, is given by H(z) 3-72¹ +522 + Suppose x[n], the input to the system, is a unit step sequence. (a) Find the output y[n] by evaluating the discrete convolution of x[n] and h[n]. (b) Find the output y[n] by computing the inverse z-transform of Y(z).
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