NDLI: Exact LTP Representation of the Generalized Periodic-Reference FxLMS Algorithm

Content Provider	IEEE Xplore Digital Library
Author	Haarnoja, T. Tammi, K. Zenger, K.
Copyright Year	1991
Abstract	The analysis of the Filtered-x Least Mean Square (FxLMS) algorithm can be based either on a stochastic or deterministic approach. One of the drawbacks of the stochastic analysis is that it relies on several assumptions which are not justified if the reference signal is time periodic. To overcome these limitations, several deterministic methods have been suggested. However, useful results have been reported only for setups with certain filter length, secondary path model, or reference signal. In this paper, an exact Linear Time-Periodic (LTP) representation is proposed assuming only that the reference is synchronously-sampled. The representation is derived for a general FxLMS system, which also covers the multichannel topology of several parallel filters and its common narrowband modification. The representation is found to have a Linear Time-Invariant (LTI) form if the filter length is suitably chosen. The usability of the method is demonstrated in a numerically computed example by comparing it to an approximate LTI model.
Sponsorship	IEEE Signal Processing Society
Starting Page	121
Ending Page	130
Page Count	10
File Size	2160234
File Format	PDF
ISSN	1053587X
Volume Number	62
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2014-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Noise Signal processing algorithms Algorithm design and analysis Least squares approximations Topology Stochastic processes Narrowband state-space representation Active noise control (ANC) convergence analysis convergent control (CC) filtered-x least mean square (FxLMS) higher harmonic control (HHC) multichannel FxLMS narrowband FxLMS
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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