Consider a desired causal impulse response hd[n] that we wish to approximate by a system...

Consider a desired causal impulse response h_d[n] that we wish to approximate by a system having impulse response h[n] and system function

Our optimality criterion is to minimize the error function given by

(a) Suppose a is given, and we wish to determine the unknown parameter b which minimizes . Assume that |a| < 1. Does this result in a nonlinear set of equations? If so, show why. If not, determine b.

(b) Suppose b is given, and we wish to determine the unknown parameter a which minimizes . Is this a nonlinear problem? If so, show why. If not, determine a.