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. Consider an impulse response h[n] such that h[n] = 0 for n < 0 and n > M, and h[n] =−h[M − n] for 0 ≤ n ≤ M where M is an odd integer. a) Express the Fourier transform of h[n] in the form H(ejω) = ejf(ω)A(ω) , where f(ω) and A(ω) are real-valued functions of ω. Determine f(ω) and A(ω). b) Provide an example of such an impulse response h[n] for M = 7 and find the corresponding f(ω) and A(ω).

. Consider an impulse response h[n] such that h[n] = 0 for n < 0 and n > M, and h[n] =−h[M − n] for 0 ≤ n ≤ M where M is an odd integer. a) Express the Fourier transform of h[n] in the form H(ejω) = ejf(ω)A(ω) , where f(ω) and A(ω) are real-valued functions of ω. Determine f(ω) and A(ω). b) Provide an example of such an impulse response h[n] for M = 7 and find the corresponding f(ω) and A(ω).

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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1. Consider an impulse response h[n] such that h[n] = 0 for n < 0 and n > M, and h[n] =−h[M − n] for 0 ≤ n ≤ M where M is an odd integer.
a) Express the Fourier transform of h[n] in the form
H(ejω) = ejf(ω)A(ω) ,
where f(ω) and A(ω) are real-valued functions of ω. Determine f(ω) and A(ω).
b) Provide an example of such an impulse response h[n] for M = 7 and find the corresponding f(ω) and A(ω). 

1. Consider an impulse response h[n] such that h[n] = 0 for n < 0 and n > M, and h[n] -h[M – n] for 0 <n < M where M is an odd integer. a) Express the Fourier transform of h/n] in the form %3D = H(e") = ef() A(w), where f(w) and A(w) are real-valued functions of w. Determine f(w) and A(w). b) Provide an example of such an impulse response h[n] for M = 7 and find the corresponding f(w) and A(w).
Transcribed Image Text:1. Consider an impulse response h[n] such that h[n] = 0 for n < 0 and n > M, and h[n] -h[M – n] for 0 <n < M where M is an odd integer. a) Express the Fourier transform of h/n] in the form %3D = H(e") = ef() A(w), where f(w) and A(w) are real-valued functions of w. Determine f(w) and A(w). b) Provide an example of such an impulse response h[n] for M = 7 and find the corresponding f(w) and A(w).
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