On the performance of a second-order adaptive Volterra filter

Author

Dokic, Miroslav V. ; Clarkson, Peter M.

Author_Institution

Dept. of Electr. & Comput. Eng., Illinois Inst. of Technol., Chicago, IL, USA

Volume

41

Issue

5

fYear

1993

fDate

5/1/1993 12:00:00 AM

Firstpage

1944

Lastpage

1947

Abstract

The impact of the bias or DC term on the performance of a second-order Volterra least-mean-square (LMS) filter is discussed. Without the DC term the filter may itself produce a biased output. It is shown that including a DC term always degrades adaptive system performance, in terms of both convergence and steady state. Unlike the usual LMS approach, the second-order scheme converges nonuniformly, even with white inputs. For deterministic signals an approximate transfer function descriptor is obtained for the second-order LMS filter. Jury (1964) tables are used to obtain explicit stability conditions

Keywords

adaptive filters; digital filters; least squares approximations; transfer functions; DC term; Jury tables; adaptive system performance; approximate transfer function; convergence; deterministic signals; second-order LMS filter; second-order adaptive Volterra filter; stability conditions; steady state; Adaptive filters; Adaptive signal processing; Adaptive systems; Convergence; Filtering algorithms; Least squares approximation; Nonlinear systems; Signal processing algorithms; Speech processing; Stability analysis;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.215311

Filename

215311