An adaptive predictor can be used as a “self-tuning filter.” Suppose that we would like to extract a periodic signal in broadband noise using the predictor shown below. (a) Discuss the operation of...

An adaptive predictor can be used as a “self-tuning filter.” Suppose that we would like to extract a periodic signal in broadband noise using the predictor shown below.

(a) Discuss the operation of this device and an appropriate choice of d, the prediction distance.

(b) Simulate a 50 Hz sinusoid in bandpass Gaussian noise (cutoffs: 10, 90 Hz) of variance 0.01. Based on estimated covariances select d and obtain in the adaptive (LMS ) solution.