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(Solved): Find and plot X() and X(), the magnitude and DTFT for the signal X[n] given by a) x[n]=co ...

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Find and plot

∣ X (ω) ∣

and

X (ω)

, the magnitude and DTFT for the signal

X [n]

given by a)

x [n] = cos (\frac{π}{5} n)

b)

x [n] = (- 1)^{n} (a)^{n} u [n]

for

0 < a < 1

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a) Let's start with the signal
The Discrete-Time Fourier Transform (DTFT) of a sequence x[n] is gi...

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