Consider the adaptive predictor shown in Figure P13.16.
(a) Determine the quadratic performance index and the optimum parameters for the signal
(b) Generate a sequence of 1000 samples of x(n), and use the LMS algorithm to adaptively obtain the predictor coefficients. Compare the experimental results with the theoretical values obtained in part (a). Use a step size of
(c) Repeat the experiment in part (b) for N = 10 trials with different noise sequences, and compute the average values of the predictor coefficients. Comment on how these results compare with the theoretical values in part (a).
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