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Two systems, h, [n] and h,[n] are connected in series and parallel with a system, h,[n] as shown in Figure Q2. The LTI impulse response functions of the systems hi[n], ha[n] and ha[n] are given by equations (1), (2) and (3), respectively. h, [n] = 2nu[n + 2] - 2nu[n – 3] (1) ha[n] = -3(u[n + 1] - u[n – 3) (2) ha[n] = -2u[n – 1] + 2u[n – 5] (3) y[n] x, [n] yı[n] y2[n] h [n] X2 [n] Ya[m] ha[n] Figure Q2 (a) Analyse the output response of y,[n] using convolution if the input signal x, [n] is given by x, [n] = 6[n + 4]. You may use any methods to obtain the output. Sketch the output signal y,[n].

Two systems, h, [n] and h,[n] are connected in series and parallel with a system, h,[n] as shown in Figure Q2. The LTI impulse response functions of the systems hi[n], ha[n] and ha[n] are given by equations (1), (2) and (3), respectively. h, [n] = 2nu[n + 2] - 2nu[n – 3] (1) ha[n] = -3(u[n + 1] - u[n – 3) (2) ha[n] = -2u[n – 1] + 2u[n – 5] (3) y[n] x, [n] yı[n] y2[n] h [n] X2 [n] Ya[m] ha[n] Figure Q2 (a) Analyse the output response of y,[n] using convolution if the input signal x, [n] is given by x, [n] = 6[n + 4]. You may use any methods to obtain the output. Sketch the output signal y,[n].

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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QUESTION 2 Two systems, h, [n] and h,[n] are connected in series and parallel with a system, h,[n] as shown in Figure Q2. The LTI impulse response functions of the systems h[n], ha[n] and ha[n] are given by equations (1), (2) and (3), respectively. h [n] = 2nu[n + 2] – 2nu[n – 3] (1) h2[n] = -3(u[n + 1] – u[n – 31) (2) %3D hz[n] = -2u[n – 1] + 2u[n – 5] (3) y[n] x,[n] Yı [n] h,[n] yz[n] h[n] x2[n] Ya[r] ha[n] Figure Q2 (a) Analyse the output response of y,[n] using convolution if the input signal x, [n] is given by x, [n] = 6[n + 4]. You may use any methods to obtain the output. Sketch the output signal y, [n].
Transcribed Image Text:QUESTION 2 Two systems, h, [n] and h,[n] are connected in series and parallel with a system, h,[n] as shown in Figure Q2. The LTI impulse response functions of the systems h[n], ha[n] and ha[n] are given by equations (1), (2) and (3), respectively. h [n] = 2nu[n + 2] – 2nu[n – 3] (1) h2[n] = -3(u[n + 1] – u[n – 31) (2) %3D hz[n] = -2u[n – 1] + 2u[n – 5] (3) y[n] x,[n] Yı [n] h,[n] yz[n] h[n] x2[n] Ya[r] ha[n] Figure Q2 (a) Analyse the output response of y,[n] using convolution if the input signal x, [n] is given by x, [n] = 6[n + 4]. You may use any methods to obtain the output. Sketch the output signal y, [n].
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