Suppose we cascade a differentiator and a smoother. The equations for the differentiator is w[n] = x[n]
Question:
where y[n] is the output and w[n] the input.
(a) Obtain the difference equation relating the input x[n] to the output y[n] of the whole system.
(b) If x[n] = u[n], calculate y[n]. Assume zero initial conditions.
(c) Determine the steady-state response y[n] to an input x[n] = u[n] + sin(Ïn/2) u[n].
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