QUESTION

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2.41. Consider the signal \[ x[n]=\alpha^{n} u[n] . \] (a) Sketch the signal $g[n]=x[n]-\alpha x[n-1]$. (b) Use the result of part (a) in conjunction with properties of convolution in orde to determine a sequence $h[n]$ such that \[ x[n] * h[n]=\left(\frac{1}{2}\right)^{n}\{u[n+2]-u[n-2]\} . \]

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25V4D1 The First Answerer