Quantization effects in transform-domain normalized LMS algorithm

Author

Gazor, S. ; Farhang-Boroujeny, B.

Author_Institution

Telecom, Paris, France

Volume

39

Issue

1

fYear

1992

fDate

1/1/1992 12:00:00 AM

Firstpage

1

Lastpage

7

Abstract

The quantization effects of the transform domain normalized least mean square (LMS) algorithm are studied. The discussion is limited to the systems that employ an orthonormal transform to convert the incoming samples to a set of partially uncorrelated components, to be used as actual inputs to an adaptive linear combiner. The quantization effects of the transformation coefficients and the normalized step-sizes are studied separately. The quantization effects of the system variables and its adaptive tap weights are ignored. A performance index is used to derive analytical relations for the performance losses that arise. It is shown that representations of both the normalized step-sizes and the transformation coefficients require fairly low precision. Numerical results that support the development theories are given

Keywords

adaptive filters; filtering and prediction theory; least squares approximations; performance index; LMS algorithm; adaptive linear combiner; least mean square; normalized step-sizes; orthonormal transform; performance index; performance losses; quantization effects; transform-domain normalized; transformation coefficients; Adaptive filters; Discrete Fourier transforms; Discrete cosine transforms; Fourier transforms; Frequency domain analysis; Least squares approximation; Performance analysis; Performance loss; Quantization; Time domain analysis;

fLanguage

English

Journal_Title

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

Publisher

ieee

ISSN

1057-7130

Type

jour

DOI

10.1109/82.204105

Filename

204105