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output signal, and the impulse response of a linear-time invariant system. Three systems that represented by the impulse response, h,[n], h2[n] and h3[n] are connected in series as shown in Figure Q2(a), where x[n] and y[n] are the input and output signals respectively. The impulse response functions of each system are represented by equation (1), (2) and (3). haln] %3D пu[n + 5] — пи|n — 1] (1) h2[n] = 0.58[n - 3] (2) | hz[n] = 8[n + 3] – 28[n – 1] (3) x[n]. h1[n] h2[n] hz[n] →y[n] Figure Q2(a) (a) Using the convolution, sketch the output response of y[n] if the input signal is given by x[n] = 8[n]. (b) Without calculation, predict what happened to the output signal if we add another input signal, r[n] = 48[n] to the system as shown in Figure Q2(b).

output signal, and the impulse response of a linear-time invariant system. Three systems that represented by the impulse response, h,[n], h2[n] and h3[n] are connected in series as shown in Figure Q2(a), where x[n] and y[n] are the input and output signals respectively. The impulse response functions of each system are represented by equation (1), (2) and (3). haln] %3D пu[n + 5] — пи|n — 1] (1) h2[n] = 0.58[n - 3] (2) | hz[n] = 8[n + 3] – 28[n – 1] (3) x[n]. h1[n] h2[n] hz[n] →y[n] Figure Q2(a) (a) Using the convolution, sketch the output response of y[n] if the input signal is given by x[n] = 8[n]. (b) Without calculation, predict what happened to the output signal if we add another input signal, r[n] = 48[n] to the system as shown in Figure Q2(b).

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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Convolution is a mathematical operation that expresses a relationship between an input signal, the output signal, and the impulse response of a linear-time invariant system. Three systems that represented by the impulse response, h[n], h2[n] and h3[n] are connected in series as shown in Figure Q2(a), where x[n] and y[n] are the input and output signals respectively. The impulse response functions of each system are represented by equation (1), (2) and (3). h[n] = nu[n + 5] – nu[n 1] (1) hz[n] = 0.58[n – 3] (2) h3[n] = 8[n + 3] – 28[n – 1] (3) x[n] h[n] h2[n] h3[n] →y[n] Figure Q2(a) (a) Using the convolution, sketch the output response of y[n] if the input signal is given by x[n] = 8[n]. (b) Without calculation, predict what happened to the output signal if we add another input signal, r[n] = 48[n] to the system as shown in Figure Q2(b). %3D
Transcribed Image Text:Convolution is a mathematical operation that expresses a relationship between an input signal, the output signal, and the impulse response of a linear-time invariant system. Three systems that represented by the impulse response, h[n], h2[n] and h3[n] are connected in series as shown in Figure Q2(a), where x[n] and y[n] are the input and output signals respectively. The impulse response functions of each system are represented by equation (1), (2) and (3). h[n] = nu[n + 5] – nu[n 1] (1) hz[n] = 0.58[n – 3] (2) h3[n] = 8[n + 3] – 28[n – 1] (3) x[n] h[n] h2[n] h3[n] →y[n] Figure Q2(a) (a) Using the convolution, sketch the output response of y[n] if the input signal is given by x[n] = 8[n]. (b) Without calculation, predict what happened to the output signal if we add another input signal, r[n] = 48[n] to the system as shown in Figure Q2(b). %3D
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