Performance Analyses of Adaptive IIR Notch Filters Using a PSD-Based Approach

Aloys MVUMA  Shotaro NISHIMURA  Takao HINAMOTO  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E89-A   No.7   pp.2079-2083
Publication Date: 2006/07/01
Online ISSN: 1745-1337
DOI: 10.1093/ietfec/e89-a.7.2079
Print ISSN: 0916-8508
Type of Manuscript: LETTER
Category: Digital Signal Processing
Keyword: 
adaptive IIR notch filters,  gradient algorithm (GA),  power spectral density (PSD),  bias,  mean square error (MSE),  

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Summary: 
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.