Mean weight behavior of the filtered-X LMS algorithm

被引：94

作者：

Tobias, OJ ^{[1
]}

Bermudez, JCM

Bershad, NJ

机构：

[1] Univ Fed Santa Catarina, Dept Elect Engn, Florianopolis, SC, Brazil

[2] Univ Calif Irvine, Dept Elect & Comp Engn, Irvine, CA 92717 USA

来源：

IEEE TRANSACTIONS ON SIGNAL PROCESSING | 2000年 / 48卷 / 04期

关键词：

active noise control; active vibration control; adaptive filters; adaptive signal processing; least mean square methods; tranient analysis;

D O I：

10.1109/78.827540

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

A new stochastic analysis is presented for the filtered-X LMS (FXLMS) algorithm. The analysis does not use independence theory, An analytical model is derived for the mean behavior of the adaptive weights, The model is valid for white or colored reference inputs and accurately predicts the mean weight behavior even for large step sizes, The constrained Wiener solution is determined as a function of the input statistics and the impulse responses of the adaptation loop filters, Effects of secondary path estimation errors are studied. Monte Carlo simulations demonstrate the accuracy of the theoretical model.

引用

页码：1061 / 1075

页数：15

共 10 条

[1] ANALYSIS OF THE FILTERED-X LMS ALGORITHM [J].

BJARNASON, E .

IEEE TRANSACTIONS ON SPEECH AND AUDIO PROCESSING, 1995, 3 (06) :504-514

[2] EFFECT OF ERRORS IN THE PLANT-MODEL ON THE PERFORMANCE OF ALGORITHMS FOR ADAPTIVE FEEDFORWARD CONTROL [J].

BOUCHER, CC ;

ELLIOTT, SJ ;

NELSON, PA .

IEE PROCEEDINGS-F RADAR AND SIGNAL PROCESSING, 1991, 138 (04) :313-319

[3] Exact expectation analysis of the LMS adaptive filter [J].

Douglas, SC ;

Pan, WM .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (12) :2863-2871

[4] A MULTIPLE ERROR LMS ALGORITHM AND ITS APPLICATION TO THE ACTIVE CONTROL OF SOUND AND VIBRATION [J].

ELLIOTT, SJ ;

STOTHERS, IM ;

NELSON, PA .

IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1987, 35 (10) :1423-1434

[5] A FREQUENCY-DOMAIN MODEL FOR FILTERED LMS ALGORITHMS - STABILITY ANALYSIS, DESIGN, AND ELIMINATION OF THE TRAINING MODE [J].

FEINTUCH, PL ;

BERSHAD, NJ ;

LO, AK .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1993, 41 (04) :1518-1531

[6]

Haykin S., 1991, ADAPTIVE FILTER THEO

[7]

Kuo Sen M., 1996, ACTIVE NOISE CONTROL

[8] INDEPENDENCE THEORY OF EQUALIZER CONVERGENCE [J].

MAZO, JE .

BELL SYSTEM TECHNICAL JOURNAL, 1979, 58 (05) :963-993

[9] THE EFFECT OF TRANSFER-FUNCTION ESTIMATION ERRORS ON THE FILTERED-X LMS ALGORITHM [J].

SNYDER, SD ;

HANSEN, CH .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (04) :950-953

[10]

Widrow B., 1985, Adaptive Signal Processing

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