Stability Analysis of a Fast Convergence Adaptive Algorithm Based on Square Sum of Correlation Function and Application to Adaptive Notch Filter

Abstract

In this paper, a stability analysis of a fast convergence adaptive algorithm with square sum of correlation function as a cost function and the application to whitening of the input wideband signal of adaptive notch filter are discussed. Whitening is achieved by using the autocorrelation function of a signal with a spectrum that is inversely related to the power density spectrum of the broadband signal. The whitening function of the adaptive algorithm is analyzed and the convergence properties of the adaptive notch filter are verified by computer simulation.