40 We want to design a causal discrete-time LTI system with the property that if theinput isthen the output isy(n) = ("'utn)(a) Determine the impulse response h(n) and the system function H(2) of a systemthat satisfies the foregoing conditions.(b) Find the difference equation that characterizes this system.(c) Determine a realization of the system that requires the minimum possible amountof memory.(d) Determine if the system is stable.

Answered: 40 We want to design a causal…

40 We want to design a causal discrete-time LTI system with the property that if the input is 1) | then the output is y(n) ("u(n)

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

40 We want to design a causal discrete-time LTI system with the property that if the
input is
then the output is
y(n) = ("'utn)
(a) Determine the impulse response h(n) and the system function H(2) 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 possible amount
of memory.
(d) Determine if the system is stable.

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