Determine the input so that corresponding output of system

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A causal LTI system has system function (i.e., transfer function)

H(z) = 1-z^-1/(l-0.5z^-1)(l+ 0.5z^-1)

Determine the output of the system when the input is x[n] = u[n]. Determine the input x[n] so that the corresponding output of the above system is y[n] = delta[n] - delta[n - 1] Determine the output y[n] when the input is x[n] = cos(0.5pin) for - infinity < n < infinity.

Reference no: EM13252481

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