Discuss the time-convolution property

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Reference no: EM131594873

Question: Given the difference equation

y[k] + y[k - 1] + (1/4)y[k - 2] = x[k] - x[k - 2]

(i) determine the transfer function representing the LTID system;

(ii) determine the impulse response of the LTID system;

(iii) determine the output of the LTID system to the input x[k] = (1/2)ku[k] using the time-convolution property;

(iv) determine the output of the LTID system by convolving the input x[k] = (1/2)ku[k] with the impulse response obtained in part (ii).

Reference no: EM131594873

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