Stability analysis of multidimensional (m-D) direct realization digital filters under the influence of nonlinearities

Author

Bauer, Peter ; Jury, E.I.

Author_Institution

Dept. of Electr. & Comput. Eng., Miami Univ., Coral Gables, FL, USA

Volume

36

Issue

11

fYear

1988

fDate

11/1/1988 12:00:00 AM

Firstpage

1770

Lastpage

1780

Abstract

A stability test of m-D direct realization digital filters with nonlinearities such as quantization, overflow, saturation, etc., is presented. The method presented reduces a given nonlinear m -D system to a nonlinear 1-D system such that the stability of the latter is sufficient for the stability of the former. To check stability of the nonlinear 1-D system, some new results on 1-D recursive systems with positive coefficients are applied. The case of multiple nonlinearities in multidimensions is also addressed. Examples are given illustrating the application of the method

Keywords

filtering and prediction theory; multidimensional digital filters; stability; 1-D recursive systems; multidimensional direct realization digital filters; nonlinear m-D system; overflow; saturation; stability test; Difference equations; Digital filters; Helium; Multidimensional systems; Nonlinear systems; Performance evaluation; Quantization; Stability analysis; Sufficient conditions; System testing;

fLanguage

English

Journal_Title

Acoustics, Speech and Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

0096-3518

Type

jour

DOI

10.1109/29.9014

Filename

9014