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Consider a discrete-time LTI system with impulse response ( l ~nl h[n] = 2) Find the

Chapter 3, Problem 3.37

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QUESTION:

Consider a discrete-time LTI system with impulse response ( l ~nl h[n] = 2) Find the Fourier series representation of the output y[n] for each of the following inputs: (a) x[n] = L~= -xD[n - 4k] (b) x[ n] is periodic with period 6 and x[n] = { b: n = 0, :tl n = :::2, :::3

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QUESTION:

Consider a discrete-time LTI system with impulse response ( l ~nl h[n] = 2) Find the Fourier series representation of the output y[n] for each of the following inputs: (a) x[n] = L~= -xD[n - 4k] (b) x[ n] is periodic with period 6 and x[n] = { b: n = 0, :tl n = :::2, :::3

ANSWER:

Step 1 of 4

(a) The given signal is,

The Fourier series representation is given by,

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