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When the impulse train x[n] = L o[n - 4k] k=-X is the input to a particular LTI system

Chapter 3, Problem 3.14

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QUESTION:

When the impulse train x[n] = L o[n - 4k] k=-X is the input to a particular LTI system with frequency response H(eiw), the output of the system is found to be (57T 7T) y[n] = cos 2 n + 4 . Determine the values of H(eikrr/2 ) fork = 0, 1, 2, and 3.

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QUESTION:

When the impulse train x[n] = L o[n - 4k] k=-X is the input to a particular LTI system with frequency response H(eiw), the output of the system is found to be (57T 7T) y[n] = cos 2 n + 4 . Determine the values of H(eikrr/2 ) fork = 0, 1, 2, and 3.

ANSWER:

Step 1 of 5

The discrete time signal is shown in below figure:

From the figure, it is clear that period of signal  is .

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