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Determine the output of the filter shown in Figure P3.16 for the following periodic

Chapter 3, Problem 3.16

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QUESTION:

Determine the output of the filter shown in Figure P3.16 for the following periodic inputs: (a) x 1[n] = (-1)" (b) x2[n] = 1 + sin(3; n + 'i-) (c) x3[n] = ~~=-oc(~r- ku[n- 4k]

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QUESTION:

Determine the output of the filter shown in Figure P3.16 for the following periodic inputs: (a) x 1[n] = (-1)" (b) x2[n] = 1 + sin(3; n + 'i-) (c) x3[n] = ~~=-oc(~r- ku[n- 4k]

ANSWER:

Step 1 of 4

(a) The given signal is,

Which can also written as,

Here,

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