2. Given a sequence x[n] with Fourier transform X(ej), determine the Fourier transform of the following sequences in terms of X(ejw): (a) x₁[n] = 2x[n+ 2] + 3x[3 − n] (b) x₂[n] = (1 + x[n]) cos(0.2ân +/6)

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2.
Given a sequence x[n] with Fourier transform X(ej), determine the
Fourier transform of the following sequences in terms of X(ejw):
(a) x₁[n] = 2x[n+2] + 3x[3-n]
(b) x₂[n] = (1 + x[n]) cos(0.2ân+/6)
(c) x3[n] = 2e10.5(n-2)x[n+2]
(d) x4[n]=x[n] − x*[−n]
Transcribed Image Text:2. Given a sequence x[n] with Fourier transform X(ej), determine the Fourier transform of the following sequences in terms of X(ejw): (a) x₁[n] = 2x[n+2] + 3x[3-n] (b) x₂[n] = (1 + x[n]) cos(0.2ân+/6) (c) x3[n] = 2e10.5(n-2)x[n+2] (d) x4[n]=x[n] − x*[−n]
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