3. Consider the causal, discrete-time LTI system described by the difference equation: yln) + yin- 1)-yin-2)=n-1] y[n – 1] a) Determine the frequency response H(N) of the system. b) Determine the impulse response h[n]. c) Find the impulse response of the inverse system h(n] that satisfies H(Q) H'M) = 1. Is the inverse system causal? d) Determine the output y[n] when x[n] = (})"-'u[n- 1] + 8[n].

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
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3. Consider the causal, discrete-time LTI system described by the difference equation:
yln) + yin- 1)-yin- 2) =x(n-1]
y[n– 1]
a) Determine the frequency response H(N) of the system.
b) Determine the impulse response h[n].
c) Find the impulse response of the inverse system h(n] that satisfies H(Q) H'M) = 1. Is the inverse
system causal?
d) Determine the output y[n] when x[n] = (})"-'u[n–1] + 8[n].
Transcribed Image Text:3. Consider the causal, discrete-time LTI system described by the difference equation: yln) + yin- 1)-yin- 2) =x(n-1] y[n– 1] a) Determine the frequency response H(N) of the system. b) Determine the impulse response h[n]. c) Find the impulse response of the inverse system h(n] that satisfies H(Q) H'M) = 1. Is the inverse system causal? d) Determine the output y[n] when x[n] = (})"-'u[n–1] + 8[n].
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