Title :
A control theory approach to the stability and transient analysis of the filtered-x LMS adaptive notch filter
Author :
Morgan, Dennis R. ; Sanford, Charles
Author_Institution :
AT&T Bell Lab., Murray Hill, NJ, USA
fDate :
9/1/1992 12:00:00 AM
Abstract :
A method is presented for analyzing the stability and transient response of the filtered-x LMS adaptive notch filter by formulating the problem in the complex weight domain and applying standard control theory. Examples are given for pure delay and second-order low-pass cancellation path transfer functions. The method is also extended to the multichannel case, where the eigenvalues of the equivalent open-loop transfer function matrix characterize the behavior
Keywords :
adaptive filters; control theory; eigenvalues and eigenfunctions; filtering and prediction theory; frequency stability; least squares approximations; notch filters; transfer functions; transient response; complex weight domain; control theory; eigenvalues; equivalent open-loop transfer function matrix; filtered-x LMS adaptive notch filter; multichannel filter; path transfer functions; pure delay; second-order low-pass cancellation; stability; transient response; Adaptive control; Adaptive filters; Control theory; Filtering theory; Least squares approximation; Programmable control; Stability analysis; Transfer functions; Transient analysis; Transient response;
Journal_Title :
Signal Processing, IEEE Transactions on
