Paper Info
Title
Analysis of the adaptive filter algorithm for feedback-type active noise control
Abstract
The feedback-type active noise control (ANC) system uses only one microphone to provide necessary signals for adjusting the adaptive filter. Due to the complicated nature of the whole adaptive filter structure there have been no theoretical results about its convergence properties. In this paper, first a stationary point of the adaptive filter using the filtered-X LMS algorithm is obtained by the averaging method combined with the frequency-domain technique. Then the local convergence condition is derived. This is a counterpart of the well-known 90° condition for the feedforward-type ANC. Finally, the convergence condition is explicitly given for a simple example and its validity is shown by some simulations.
Year
DOI
Venue
2001
10.1016/S0165-1684(03)00055-0
Signal Processing
Keywords
Field
DocType
causality,convergence property,filtered-x lms algorithm,whole adaptive filter structure,convergence condition,feedback-type active noise control,adaptive algorithm,local convergence condition,adaptive filter,adaptive filter algorithm,averaging method,complicated nature,feedforward-type anc,frequency domain analysis,local convergence,feedback,adaptive filters,lms algorithm,convergence,stationary point,least squares approximation,algorithm design and analysis,transfer functions,control systems,active noise control,frequency domain
Least mean squares filter,Frequency domain,Mathematical optimization,Control theory,Computer science,Adaptive filter,Kernel adaptive filter,Local convergence,Active noise control,Multidelay block frequency domain adaptive filter,Recursive least squares filter
Conference
Volume
Issue
ISSN
83
6
0165-1684
Citations 
PageRank 
References 
11
2.59
4
Authors
2
Name
Order
Citations
PageRank
Hideaki Sakai126277.04
Shigeyuki Miyagi2163.77