Title :
A Filtered-X LMS Algorithm for Sinusoidal Reference Signals—Effects of Frequency Mismatch
Author :
Hinamoto, Yoichi ; Sakai, Hideaki
Author_Institution :
Dept. of Syst. Sci., Kyoto Univ.
fDate :
4/1/2007 12:00:00 AM
Abstract :
The objective of this letter is to analyze the effects of frequency mismatch for an adaptive algorithm that becomes the Filtered-X LMS algorithm when the reference signals are purely sinusoidal. The Filtered-X LMS algorithm is often used for active control of acoustic noise. For the case of sinusoidal noise sources, if there is a deviation between the frequency used in the adaptive algorithm and its true value (frequency mismatch), the performance of the Filtered-X LMS algorithm might degrade considerably. In this letter, using the equivalent transfer function method, the effects of frequency mismatch are analyzed precisely. Finally, computer simulations are presented to demonstrate the obtained results
Keywords :
acoustic noise; active noise control; filtering theory; least mean squares methods; transfer functions; active acoustic noise control; adaptive algorithm; filtered-X LMS algorithm; frequency mismatch; least mean square algorithm; sinusoidal reference signal; transfer function method; Acoustic noise; Adaptive algorithm; Adaptive filters; Algorithm design and analysis; Computer simulation; Degradation; Frequency; Least squares approximation; Signal analysis; Transfer functions; Active noise control (ANC); Filtered-X LMS algorithm; frequency mismatch;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2006.884901
