Let x[n] be a discrete time signal with a Fourier transform denoted as X(w) and depicted in the figure below. Find and plot the Fourier transform of the following discrete time signals in terms of X(w): a) yı[n] = x[n]cos[{n] b) y2[n] = x[n]cos[n] X(@) EIN

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Let x[n] be a discrete time signal with a Fourier transform
denoted as X(w) and depicted in the figure below. Find and plot the Fourier
transform of the following discrete time signals in terms of X (w):
a) yı[n] = x[n]cos[}n]
b) y2[n] = x[n]cos[5n]
X(@)
1
Figure 1: X(w).
Hint: Remember the properties of discrete time Fourier transform.
EIN
Transcribed Image Text:Let x[n] be a discrete time signal with a Fourier transform denoted as X(w) and depicted in the figure below. Find and plot the Fourier transform of the following discrete time signals in terms of X (w): a) yı[n] = x[n]cos[}n] b) y2[n] = x[n]cos[5n] X(@) 1 Figure 1: X(w). Hint: Remember the properties of discrete time Fourier transform. EIN
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