Consider an LTI system with impulse response (a", n 2 0 h[n] = {0, %3D n< 0 And input x[n] = {°o. n 2 0 n < 0 (a) Determine the output y[n] by explicitly evaluating the discrete convolution of x[n] and h[n]. (b) Determine the output y[n] by computing the inverse z-transform of the product of the z-transforms of the input and the unit sample response.

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The subject is about Systems and Signals

Convolution, Laplace and Z transform
Apprehend concepts of frequency-domain analysis by performing the Fourier and Laplace transform
Question 3
Consider an LTI system with impulse response
n 2 0
h[n] = {0,
n < 0
And input
x[n] = {°.
n 2 0
n < 0
(a) Determine the output y[n] by explicitly evaluating the discrete convolution of x[n] and h[n].
(b) Determine the output y[n] by computing the inverse z-transform of the product of the z-transforms
of the input and the unit sample response.
Transcribed Image Text:Convolution, Laplace and Z transform Apprehend concepts of frequency-domain analysis by performing the Fourier and Laplace transform Question 3 Consider an LTI system with impulse response n 2 0 h[n] = {0, n < 0 And input x[n] = {°. n 2 0 n < 0 (a) Determine the output y[n] by explicitly evaluating the discrete convolution of x[n] and h[n]. (b) Determine the output y[n] by computing the inverse z-transform of the product of the z-transforms of the input and the unit sample response.
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