(a) Determine the overall frequency response H(ej@). (b) Determine the length of the impulse response of the overall system. (c) Determine the group delay of the overall system.
(a) Determine the overall frequency response H(ej@). (b) Determine the length of the impulse response of the overall system. (c) Determine the group delay of the overall system.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![5.46. Assume that the two linear systems in the cascade shown in Figure P5.46 are linear-
phase FIR filters. Suppose that H1(z) has order M1 (impulse response length M1.+ 1)
and H2(z) has order M2. Suppose that the frequency responses are of the form H1(ej@) =
A1(ej@)e-j@M¡/2 and H2(ej") = jA2(ej@)e-j@M2/2, where M1 is an even integer and M2
is an odd integer.
(a) Determine the overall frequency response H(ej@).
(b) Determine the length of the impulse response of the overall system.
(c) Determine the group delay of the overall system.
x[n]
h|[n]
H,(ej«)
h2[n]
y[n]
H,(ej«)
Figure P5.46](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe68f0066-db31-42e2-87ae-f5acbabd5711%2Fabb11acb-f4c8-484a-b29d-f4ef38143b25%2Fifl1t99_processed.png&w=3840&q=75)
Transcribed Image Text:5.46. Assume that the two linear systems in the cascade shown in Figure P5.46 are linear-
phase FIR filters. Suppose that H1(z) has order M1 (impulse response length M1.+ 1)
and H2(z) has order M2. Suppose that the frequency responses are of the form H1(ej@) =
A1(ej@)e-j@M¡/2 and H2(ej") = jA2(ej@)e-j@M2/2, where M1 is an even integer and M2
is an odd integer.
(a) Determine the overall frequency response H(ej@).
(b) Determine the length of the impulse response of the overall system.
(c) Determine the group delay of the overall system.
x[n]
h|[n]
H,(ej«)
h2[n]
y[n]
H,(ej«)
Figure P5.46
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