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(a)-Take a signal z with length N. Convolve this signal with another signal f, of length M. What would be the length of the result? (That is, take r = {1o, T1, --, IN-1}, and f = {fo. f1, --. fM-1}.) (b) Is there an input signal of length 2, 1 = {rq, 11}, such that, if we apply this sig- nal to the system given below, its output y will have a finite length? y(n) +0.94y(n – 1) = 0.03[r(n) – I(n – 1)] Take y(n) = 0, for n< 0. (c) - Assume that an FIR, LTI system has the input x= {1, 3}, and output

(a)-Take a signal z with length N. Convolve this signal with another signal f, of length M. What would be the length of the result? (That is, take r = {1o, T1, --, IN-1}, and f = {fo. f1, --. fM-1}.) (b) Is there an input signal of length 2, 1 = {rq, 11}, such that, if we apply this sig- nal to the system given below, its output y will have a finite length? y(n) +0.94y(n – 1) = 0.03[r(n) – I(n – 1)] Take y(n) = 0, for n< 0. (c) - Assume that an FIR, LTI system has the input x= {1, 3}, and output

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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(a)-Take a signal a with length N. Convolve this signal with another signal f, of length M. What would be the length of the result? (That is, take r = {rq, F1, -., IN–1}, and f = {fo. f1, .-. fM-1},) (b) Is there an input signal of length 2, r = {ro, 11}, such that, if we apply this sig- nal to the system given below, its output y will have a finite length? y(n) +0.94y(n – 1) = 0.03[r(n) – ¤(n – 1)] Take y(n) = 0, for n < 0. (c) - Assume that an FIR, LTI system has the input r = {1, 3}, and output y = {1, 7, 10, –6}. Find the transfer function of this system.
Transcribed Image Text:(a)-Take a signal a with length N. Convolve this signal with another signal f, of length M. What would be the length of the result? (That is, take r = {rq, F1, -., IN–1}, and f = {fo. f1, .-. fM-1},) (b) Is there an input signal of length 2, r = {ro, 11}, such that, if we apply this sig- nal to the system given below, its output y will have a finite length? y(n) +0.94y(n – 1) = 0.03[r(n) – ¤(n – 1)] Take y(n) = 0, for n < 0. (c) - Assume that an FIR, LTI system has the input r = {1, 3}, and output y = {1, 7, 10, –6}. Find the transfer function of this system.
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