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a) i) Sketch the sequence x[n] = cos (n. π/2) plotted against 'n' (the sketch should only go from n = -2 to n = +3). State whether x[n] is even or odd and why. ii) Find the output sequence, y[n], if x[n] = (1/2)"_and h[n] = ½, ½, 0, 0...over the period n=0 to n=2 by using convolution. iii) Draw the system model corresponding to the Linear Difference Equation (LDE): y[n] = a.(2.x[n] – x[n-1]) Is this system stable? Is it recursive?

a) i) Sketch the sequence x[n] = cos (n. π/2) plotted against 'n' (the sketch should only go from n = -2 to n = +3). State whether x[n] is even or odd and why. ii) Find the output sequence, y[n], if x[n] = (1/2)"_and h[n] = ½, ½, 0, 0...over the period n=0 to n=2 by using convolution. iii) Draw the system model corresponding to the Linear Difference Equation (LDE): y[n] = a.(2.x[n] – x[n-1]) Is this system stable? Is it recursive?

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) i) Sketch the sequence x[n] = cos (n. π/2) plotted against 'n' (the sketch should only go from n = -2 to n = +3). State whether x[n] is even or odd and why. ii) Find the output sequence, y[n], if x[n] = (1/2)" and h[n] = ½, 1⁄2, 0, 0...over the period n=0 to n=2 by using convolution. iii) Draw the system model corresponding to the Linear Difference Equation (LDE): y[n] = a.(2.x[n] - x[n-1]) Is this system stable? Is it recursive?
Transcribed Image Text:a) i) Sketch the sequence x[n] = cos (n. π/2) plotted against 'n' (the sketch should only go from n = -2 to n = +3). State whether x[n] is even or odd and why. ii) Find the output sequence, y[n], if x[n] = (1/2)" and h[n] = ½, 1⁄2, 0, 0...over the period n=0 to n=2 by using convolution. iii) Draw the system model corresponding to the Linear Difference Equation (LDE): y[n] = a.(2.x[n] - x[n-1]) Is this system stable? Is it recursive?
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