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¯2lr (b) h(t) = e²'u(t – 1) (c) h(t) = u(t + 1) – 2u(t – 1) (d) h(t) = 38(t) (e) h(t) = cos{t)u(t} (f) h\n] = 2"u[-n] (g) h[n] = e2"u[n - 1) (h) h[n] = cos(}Tn){u|1] – u[n – 10]} (i) b[n] = 2u[n] – 2u|n – 1] (i) b[n] = sin(}n) (k) b[n] = S[n] + sin(7n) %3D

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Publisher:Robert L. Boylestad
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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-2lf
(b) h(t) = e2'u(t – 1)
(c) h(t) = u(t + 1) – 2u(t – 1)
(d) h(t) = 38(t)
(e) h(t) = cos( t)u(t}
(f) b[n] = 2"u[-n|
(g) h[n] = e2"u[n - 1]
(h) h[n] = cos( Tn){u[n] – u[n – 10]}
(i) b[n] = 2u[n] – 2u|n – 1]
(i) h[n] = sin(n}
(k) b[n] = 8[n] + sin(7n)
%3D
|
Transcribed Image Text: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-2lf (b) h(t) = e2'u(t – 1) (c) h(t) = u(t + 1) – 2u(t – 1) (d) h(t) = 38(t) (e) h(t) = cos( t)u(t} (f) b[n] = 2"u[-n| (g) h[n] = e2"u[n - 1] (h) h[n] = cos( Tn){u[n] – u[n – 10]} (i) b[n] = 2u[n] – 2u|n – 1] (i) h[n] = sin(n} (k) b[n] = 8[n] + sin(7n) %3D |
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