Quantization effects in the complex LMS adaptive algorithm-linearization using dither-applications

Author

Sherwood, D.T. ; Bershad, N.J.

Author_Institution

Dept. of Electr. Eng., California Univ., Irvine, CA, USA

Volume

35

Issue

4

fYear

1988

fDate

4/1/1988 12:00:00 AM

Firstpage

466

Lastpage

470

Abstract

The use of dither to linearize the gradient quantizer in a digitally implemented LMS adaptive algorithm is described. In a previous paper by the authors (see ibid., vol.CAS-34, no.7, p.848-54, 1987), a theoretical model for the performance of the system was presented. Now the theory is applied to the design of dither which prevents algorithm stalling yet does not significantly effect the steady-state mean square error of the algorithm. It is demonstrated that the contribution of dither to steady-state mean square error is negligible compared to the contribution of quantization noise when the dither vector has a high-pass temporal spectrum

Keywords

errors; filtering and prediction theory; least squares approximations; noise; signal processing; LMS adaptive algorithm; algorithm stalling prevention; digital implementation; dither; filtering; gradient quantizer; high-pass temporal spectrum; linearization; quantization noise; signal processing; steady-state mean square error; Adaptive algorithm; Algorithm design and analysis; Circuits and systems; Covariance matrix; Equations; Least squares approximation; Mean square error methods; Noise shaping; Quantization; Steady-state;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.1767

Filename

1767