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(e) bln] 2.12 For each impulse response listed below, deter- mine whether the corresponding system is (i) memoryless, (ii) causal, and (iii) stable. (a) h(t) = e-2 (b) b(t) = e*u(t - 1) etu(t - 1) (c) b(t) (d) b(t) = 38(t) (e) b(t) = cos(t)u(t) (f) b[n] = 2"u[-n| (g) b[n] = e"u[n – 1) (h) (n] = (1) b[n] = 2u[n] - 2u|n - 1] sin( n) = u(t + 1) – 2u(t – 1) %3D %3D cost, n){u|n] – u[n – 10]} (j) h[n] = sin(}un) (k) b[n] = 8[n] + sin(7n)

(e) bln] 2.12 For each impulse response listed below, deter- mine whether the corresponding system is (i) memoryless, (ii) causal, and (iii) stable. (a) h(t) = e-2 (b) b(t) = e*u(t - 1) etu(t - 1) (c) b(t) (d) b(t) = 38(t) (e) b(t) = cos(t)u(t) (f) b[n] = 2"u[-n| (g) b[n] = e"u[n – 1) (h) (n] = (1) b[n] = 2u[n] - 2u|n - 1] sin( n) = u(t + 1) – 2u(t – 1) %3D %3D cost, n){u|n] – u[n – 10]} (j) h[n] = sin(}un) (k) b[n] = 8[n] + sin(7n)

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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(e) haln] 2.12 For each impulse response listed below, deter- mine whether the corresponding system is (i) memoryless, (ii) causal, and (iii) stable. (a) b(t) = (b) h(t) = e'u(t – 1) (c) h(t) = «(t + 1) (d) h(t) = 38(t) (e) h(t) = cos( rt)u(t) e-2 e2tu(t 1) %3D 2u(t 1) %3D %D (f) b[n] = 2"u[-n| (g) h[n] = e"u[n - 1) (h) h[n] = cos( n)[u|n] – u[n – 10]} cos( n)(u|n] () b[n] = 2u[n] 2u|n 1] (i) b[n] = sin(n) sin(늘Tn} (k) b[n] = 8[n] + sin(77n)
Transcribed Image Text:(e) haln] 2.12 For each impulse response listed below, deter- mine whether the corresponding system is (i) memoryless, (ii) causal, and (iii) stable. (a) b(t) = (b) h(t) = e'u(t – 1) (c) h(t) = «(t + 1) (d) h(t) = 38(t) (e) h(t) = cos( rt)u(t) e-2 e2tu(t 1) %3D 2u(t 1) %3D %D (f) b[n] = 2"u[-n| (g) h[n] = e"u[n - 1) (h) h[n] = cos( n)[u|n] – u[n – 10]} cos( n)(u|n] () b[n] = 2u[n] 2u|n 1] (i) b[n] = sin(n) sin(늘Tn} (k) b[n] = 8[n] + sin(77n)
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