Using the defining expressions, find the discrete-time Fourier transform (DTFT) for each of the following signals. (a) Ti[n] = (1/2)¹u[n] (b) x₂[n] = (1/2)|n| (c) x3[n] = { 1, -10 ≤ n ≤ 10 0, otherwise (You can compute this directly or using transforms.)

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Using the defining expressions, find the discrete-time Fourier transform (DTFT) for
each of the following signals.
(a) x₁[n] = (1/2)^u[n]
(b) x₂ [n] = (1/2) |n|
(C) x3[n] = {
1, -10 ≤ n ≤ 10
otherwise
0,
(d) x₁[n] = 28[n] − 8[n − 1] − 8[n + 1]
(You can compute this directly or using transforms.)
Transcribed Image Text:Using the defining expressions, find the discrete-time Fourier transform (DTFT) for each of the following signals. (a) x₁[n] = (1/2)^u[n] (b) x₂ [n] = (1/2) |n| (C) x3[n] = { 1, -10 ≤ n ≤ 10 otherwise 0, (d) x₁[n] = 28[n] − 8[n − 1] − 8[n + 1] (You can compute this directly or using transforms.)
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