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Problem 1 We want to design a causal discrete-time LTI system with the property that if the input is æ[n] = (})" u[n] – }G)"-"u[n-1] | then the output is y[n] = (})" u[n]. (a) Determine the impulse response hn] of a system that satisfies the foregoing conditions. (b) Find the difference equation that characterizes this system. (c) Determine a realization of the system that requires the minimum amount of memory. (d) Determine if the system is stable.

Problem 1 We want to design a causal discrete-time LTI system with the property that if the input is æ[n] = (})" u[n] – }G)"-"u[n-1] | then the output is y[n] = (})" u[n]. (a) Determine the impulse response hn] of a system that satisfies the foregoing conditions. (b) Find the difference equation that characterizes this system. (c) Determine a realization of the system that requires the minimum amount of memory. (d) Determine if the system is stable.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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1),pdf 1 / 2 100% fig.pdf EE306 HW7 Problem 1 We want to design a causal discrete-time LTI system with the property that if the input is a|n] = ()" u[n] – 4(G)"-un-1] then the output is y[n] = (})" u[n]. (a) Determine the impulse response h[n] of a system that satisfies the foregoing conditions. (b) Find the difference equation that characterizes this system. (c) Determine a realization of the system that requires the minimum amount of memory. (d) Determine if the system is stable.
Transcribed Image Text:1),pdf 1 / 2 100% fig.pdf EE306 HW7 Problem 1 We want to design a causal discrete-time LTI system with the property that if the input is a|n] = ()" u[n] – 4(G)"-un-1] then the output is y[n] = (})" u[n]. (a) Determine the impulse response h[n] of a system that satisfies the foregoing conditions. (b) Find the difference equation that characterizes this system. (c) Determine a realization of the system that requires the minimum amount of memory. (d) Determine if the system is stable.
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