Non-Wiener behavior of the filtered LMS algorithm

Author

Bermudez, José Carlos M ; Bershad, Neil J.

Author_Institution

Dept. of Electr. Eng., Univ. Fed. de Santa Catarina, Florianopolis, Brazil

Volume

46

Issue

8

fYear

1999

fDate

8/1/1999 12:00:00 AM

Firstpage

1110

Lastpage

1113

Abstract

This brief presents some analytical results for the non-Wiener solutions of the filtered least mean square algorithm. Secondary paths are modeled as linear time-invariant filters. Results are presented for the steady-state adaptive weight behavior and algorithm stability. Stability regions are implicitly determined as a function of the algorithm step size μ, the number of filter taps N, and the reference signal power

Keywords

acoustic noise; acoustic signal processing; active noise control; adaptive filters; adaptive signal processing; circuit stability; interference suppression; least mean squares methods; notch filters; algorithm stability; algorithm step size; filter taps; filtered LMS algorithm; linear time-invariant filters; nonWiener behavior; reference signal power; secondary paths; stability regions; steady-state adaptive weight behavior; Adaptive filters; Circuits; Finite impulse response filter; Frequency response; Image sampling; Least squares approximation; Low pass filters; Nonlinear filters; Signal processing algorithms; Stability;

fLanguage

English

Journal_Title

Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.782062

Filename

782062