11. Consider the interconnection of four LTI systems as shown above. Suppose that h₁ [n] = {0.5, 0.25, 0.5}, h₂[n] = (n+1)u[n], h3[n] = (n − 1)u[n], ha[n] = {0,0,2}. (a) - Find the system function H(z) of the overall system. Simplify your final answer as much as possible. (b) - Find the impulse response h[n] of the overall system. - Is the overall system causal, or anti-causal, or neither causal nor anti-causal?

11. Consider the interconnection of four LTI systems as shown above. Suppose that h₁ [n] = {0.5, 0.25, 0.5}, h₂[n] = (n+1)u[n], h3[n] = (n − 1)u[n], ha[n] = {0,0,2}. (a) - Find the system function H(z) of the overall system. Simplify your final answer as much as possible. (b) - Find the impulse response h[n] of the overall system. - Is the overall system causal, or anti-causal, or neither causal nor anti-causal?

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

11. Consider the interconnection of four LTI systems as shown above. Suppose that
h₁ [n] = {0.5, 0.25, 0.5}, h₂[n] = (n+1)u[n], h3[n] = (n − 1)u[n], ha[n] = {0,0,2}.
(a)
- Find the system function H(z) of the overall system. Simplify your final answer
as much as possible.
(b)
- Find the impulse response h[n] of the overall system.
Is the overall system causal, or anti-causal, or neither causal nor anti-causal?

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