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1. Consider the LTI system with impulse response h[n] = u[n] (i) Can this system be implemented recursively using a first-order difference equation? Explain. (ii) Write out the input-output relationship of this system. (iii) Suppose that the input to this system is given by 2, n ≥ 0, even; n ≥ 0, odd; x[n] = -1, 0, n<0 Using convolution, determine the output y[n] for all values of n.

1. Consider the LTI system with impulse response h[n] = u[n] (i) Can this system be implemented recursively using a first-order difference equation? Explain. (ii) Write out the input-output relationship of this system. (iii) Suppose that the input to this system is given by 2, n ≥ 0, even; n ≥ 0, odd; x[n] = -1, 0, n<0 Using convolution, determine the output y[n] for all values of n.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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1. Consider the LTI system with impulse response h[n] = u[n] (i) Can this system be implemented recursively using a first-order difference equation? Explain. (ii) Write out the input-output relationship of this system. (iii) Suppose that the input to this system is given by x[n] 2, n ≥ 0, even; -1, n ≥ 0, odd; n<0 0, Using convolution, determine the output y[n] for all values of n.
Transcribed Image Text:1. Consider the LTI system with impulse response h[n] = u[n] (i) Can this system be implemented recursively using a first-order difference equation? Explain. (ii) Write out the input-output relationship of this system. (iii) Suppose that the input to this system is given by x[n] 2, n ≥ 0, even; -1, n ≥ 0, odd; n<0 0, Using convolution, determine the output y[n] for all values of n.
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