Given the 4-point signal x(n) = [a b c d] having the 4-point DFT X (k) = [4 B C D] a) If a new 4-point signal y1(n) has a 4-point DFT Y,(k) = [ AB BC CD DA] Find yı(n) in terms of x(n), i.e., in terms of (a,b,c,d).

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Given the 4-point signal
x(n) = [ạ b c d]
having the 4-point DFT
X (k) = [4 B C D]
a) If a new 4-point signal yı(n) has a
4-point DFT
Y,(k) = [AB BC
CD
DA]
Find y1(n) in terms of x(n), i.e., in
terms of (a,b,c,d).
b) If a new 4-point signal y2(n) has a
4-point DFT
Y,(k) = [4 - B
D]
Find y:(n) in terms of x(n), i.e., in
terms of (a,b,c,d).
Transcribed Image Text:Given the 4-point signal x(n) = [ạ b c d] having the 4-point DFT X (k) = [4 B C D] a) If a new 4-point signal yı(n) has a 4-point DFT Y,(k) = [AB BC CD DA] Find y1(n) in terms of x(n), i.e., in terms of (a,b,c,d). b) If a new 4-point signal y2(n) has a 4-point DFT Y,(k) = [4 - B D] Find y:(n) in terms of x(n), i.e., in terms of (a,b,c,d).
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