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Problem 4: An LTID system has an impulse response function given by h, [n] = 8[n +2] - 8[n - 2]. A second LTID system has an impulse response function given by h2[n] = n(u[n + 4] – u[n – 4]). %3D . Sketch the functions h, [n] and h2[n] over the interval (-10

Problem 4: An LTID system has an impulse response function given by h, [n] = 8[n +2] - 8[n - 2]. A second LTID system has an impulse response function given by h2[n] = n(u[n + 4] – u[n – 4]). %3D . Sketch the functions h, [n] and h2[n] over the interval (-10

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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Problem 4: An LTID system has an impulse response function given by h, [n] = 8[n + 2] – 8[n – 2]. A second LTID system has an impulse response function given by h2[n] = n(u[n + 4] – u[n – 4]). a. Sketch the functions h,[n] and h2[n] over the interval (-10 <n< 10). b. Assume that the two systems are connected in parallel as shown in Fig. P4-1. Determine the impulse response h, [n] for the parallel system in terms of h,[n] and h2[n]. Sketch hp[n] over the interval (-10 <n< 10). h1 x[n] Yp[n] Σ h2 Fig P4 -1 c. Assume that the two systems are connected in cascade as shown in Fig. P4-2. Determine the impulse response h,[n] for the cascade system in terms of h, [n] and h,[n].
Transcribed Image Text:Problem 4: An LTID system has an impulse response function given by h, [n] = 8[n + 2] – 8[n – 2]. A second LTID system has an impulse response function given by h2[n] = n(u[n + 4] – u[n – 4]). a. Sketch the functions h,[n] and h2[n] over the interval (-10 <n< 10). b. Assume that the two systems are connected in parallel as shown in Fig. P4-1. Determine the impulse response h, [n] for the parallel system in terms of h,[n] and h2[n]. Sketch hp[n] over the interval (-10 <n< 10). h1 x[n] Yp[n] Σ h2 Fig P4 -1 c. Assume that the two systems are connected in cascade as shown in Fig. P4-2. Determine the impulse response h,[n] for the cascade system in terms of h, [n] and h,[n].
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