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1) Let x[n] = 8[n] + 28[n – 1] – 8[n – 3] and h[n] = 28[n + 1] + 28[n – 1]. Compute and plot each of the following convolutions using graphical illustration. a) yı[n] = x[n] * h[n] b) y2[n] = x[n + 2] * h[n] c) y3[n] = x[n] * h[n + 2] 2) Consider an input rlnl and a unit impulse response hlnl given by

1) Let x[n] = 8[n] + 28[n – 1] – 8[n – 3] and h[n] = 28[n + 1] + 28[n – 1]. Compute and plot each of the following convolutions using graphical illustration. a) yı[n] = x[n] * h[n] b) y2[n] = x[n + 2] * h[n] c) y3[n] = x[n] * h[n + 2] 2) Consider an input rlnl and a unit impulse response hlnl given by

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
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3) Determine and sketch the convolution of the following two signals both analytically and graphical method: { t + 1, 2 - t, 0 <t<1 1<t< 2 x(t) %3| 0, elsewhere h(t) = 8(t + 2) + 28(t + 1) 4) Compute and sketch the output y(t) of the continuous-time LTI system with impulse response h(t) = e1-tu(t – 1) for an input signal x(t) = u(t) – u(t – 3). Both analytically and graphical method
Transcribed Image Text:3) Determine and sketch the convolution of the following two signals both analytically and graphical method: { t + 1, 2 - t, 0 <t<1 1<t< 2 x(t) %3| 0, elsewhere h(t) = 8(t + 2) + 28(t + 1) 4) Compute and sketch the output y(t) of the continuous-time LTI system with impulse response h(t) = e1-tu(t – 1) for an input signal x(t) = u(t) – u(t – 3). Both analytically and graphical method
1) Let x[n] = 8[n] + 28[n – 1] – 8[n – 3] and h[n] = each of the following convolutions using graphical illustration. a) yı[n] = x[n] * h[n] b) y2[n] = x[n + 2] * h[n] с) Уз[п] 3 x[] * h[n + 2] 2) Consider an input x[n] and a unit impulse response h[n] given by 28[n + 1] + 28[n – 1]. Compute and plot - %3D х[п] %3D (1/2)(п-2u(n — 2] hln] %3D и(n + 2] Determine and plot the output y[n] = x[n] * h[n]. Both analytically and graphical method
Transcribed Image Text:1) Let x[n] = 8[n] + 28[n – 1] – 8[n – 3] and h[n] = each of the following convolutions using graphical illustration. a) yı[n] = x[n] * h[n] b) y2[n] = x[n + 2] * h[n] с) Уз[п] 3 x[] * h[n + 2] 2) Consider an input x[n] and a unit impulse response h[n] given by 28[n + 1] + 28[n – 1]. Compute and plot - %3D х[п] %3D (1/2)(п-2u(n — 2] hln] %3D и(n + 2] Determine and plot the output y[n] = x[n] * h[n]. Both analytically and graphical method
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