For a given sequence f[n], let g[n] = (-1)"f[n] and h[n] = 6[n]- f(n]. Flw) PART A) Derive G(w) and H(w) in terms of F(w). PART B) Assume from now on that F(w) is as follows. 3. Plot G(w) and H(w) for w E (, 7]. Can you see a relation between G(w) and H(w) ? PART C) Derive f(n] in terms of n by separating the cases n = 0 and n # 0. Show the details of your derivations. PART D) Transform the relation you found between G(w) and H(w) in question b into a relation between g[n] and h/n]. Prove this relation using the expression of f(n] you found in question c.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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For a given sequence f(n], let g[n] = (-1)"f[n] and h[n] = d[n] - f(n].
Flw)
PART A) Derive G(w) and H(w) in terms of F(w).
3.
PART B) Assume from now on that F(w) is as follows.
Plot G(w) and H (w) for w e (7, 7]. Can you see a relation between G(w) and H(w) ?
PART C) Derive f(n] in terms of n by separating the cases n = 0 and n # 0. Show the details
of your derivations.
PART D)
Transform the relation you found between G(w) and H(w) in question b into a
relation between g[n] and hn]. Prove this relation using the expression of f[n] you found in
question c.
Transcribed Image Text:For a given sequence f(n], let g[n] = (-1)"f[n] and h[n] = d[n] - f(n]. Flw) PART A) Derive G(w) and H(w) in terms of F(w). 3. PART B) Assume from now on that F(w) is as follows. Plot G(w) and H (w) for w e (7, 7]. Can you see a relation between G(w) and H(w) ? PART C) Derive f(n] in terms of n by separating the cases n = 0 and n # 0. Show the details of your derivations. PART D) Transform the relation you found between G(w) and H(w) in question b into a relation between g[n] and hn]. Prove this relation using the expression of f[n] you found in question c.
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