Using a pseudo-random binary sequence as a mother wavelet in the wavelet-correlation system identification method

The wavelet-correlation (W-C) method is a method of system identification that has been derived as a generalization of the correlation method which uses wavelets rather than correlation functions to determine the system transfer function estimate. The input signal for this identification method is the mother wavelet which must also meet the system identification requirement of persistent excitation. A pseudo-random binary sequence is selected as the mother wavelet and is shown to be a better input signal than wavelets.