A- Consider the interconnection of the Linear Time-Invariant (LTI) systems shown in the Fig.1: x[n] yln] h,[n] i) Express the overall impulse response h(n] in terms of h, [n], h2[n], h3[n] and h4[n]. ii) Determine h[n] when h[n] [0.5 0.25 0.5], h2[n] = h3[n] (n +1)u{nj and h4[n] = 8[n - 2] iii) Determine the response of the system in the figure to the :nput x[n] = 8[n+2] + 38[n-1]-48[n-3] ! %3D %3!
A- Consider the interconnection of the Linear Time-Invariant (LTI) systems shown in the Fig.1: x[n] yln] h,[n] i) Express the overall impulse response h(n] in terms of h, [n], h2[n], h3[n] and h4[n]. ii) Determine h[n] when h[n] [0.5 0.25 0.5], h2[n] = h3[n] (n +1)u{nj and h4[n] = 8[n - 2] iii) Determine the response of the system in the figure to the :nput x[n] = 8[n+2] + 38[n-1]-48[n-3] ! %3D %3!
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
![A- Consider the interconnection of the Linear Time-Invariant (LTI) systems shown
in the Fig.1:
hz[n]
x[n]
y[n]
ha[n]
h,(n]
i) Express the overall impulsc response h[n] in terms of h, [n], h2[n], h;[n] and
h4[n].
ii) Determine h[n] when h[n] = [0.5 0.25 0. 5], h2[n] = h3[n] = (n+1)u{n}
and h4[n] = 8[n - 2]
iii) Determine the response of the system in the figure to the :mput
x[n] = 8[n+ 2] + 38[n-1]-48[n - 3]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F069cb5a5-6ec2-4de1-94eb-6d6476c351c0%2F91cc919b-c012-442b-8191-419db95565fc%2F3mxslo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A- Consider the interconnection of the Linear Time-Invariant (LTI) systems shown
in the Fig.1:
hz[n]
x[n]
y[n]
ha[n]
h,(n]
i) Express the overall impulsc response h[n] in terms of h, [n], h2[n], h;[n] and
h4[n].
ii) Determine h[n] when h[n] = [0.5 0.25 0. 5], h2[n] = h3[n] = (n+1)u{n}
and h4[n] = 8[n - 2]
iii) Determine the response of the system in the figure to the :mput
x[n] = 8[n+ 2] + 38[n-1]-48[n - 3]
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