Performance analyses of adaptive IIR notch filters using a PSD-based approach
IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Department of Telecommunications Engineering, University of Dar Es Salaam, P.O. Box 35131, Dar es Salaam, Tanzania; Shimane University, Matsue-shi, 690-9504, Japan; Graduate School of Engineering, Hiroshima University, Higashihiroshima-shi, 739-8527, Japan
In this letter we present steady-state analyses of a gradient algorithm (GA) for second-order adaptive infinite impulse response (IIR) notch filters. A method for deriving more accurate estimation mean square error (MSE) expressions than the recently proposed method is presented. The method is based on the estimation error power spectral density (PSD). Moreover, an expression for the estimation bias for the adaptive IIR notch filter with constrained poles and zeros is shown to be obtained from the estimation MSE expression. Simulations are presented to confirm the validity of the analyses. Copyright © 2006 The Institute of Electronics, Information and Communication Engineers.
Adaptive systems; Algorithms; Computer simulation; Error analysis; IIR filters; Poles and zeros; Gradient algorithm (GA); Infinite impulse response (IIR); Mean square error (MSE); Power spectral density (PSD; Notch filters