Bounded-input-bounded-output properties of nonlinear discrete difference equations-applications to fixed-point digital filters

Author

Bauer, Peter H. ; Leclerc, Louis-Jérôme

Author_Institution

Dept. of Electr. Eng., Notre Dame Univ., IN, USA

Volume

39

Issue

8

fYear

1992

fDate

8/1/1992 12:00:00 AM

Firstpage

662

Lastpage

666

Abstract

Input-output properties of discrete difference equations with sector-type nonlinearities are derived. The results are applied to direct form digital filters with combinations of quantization and overflow nonlinearities. Using these properties, the regions of global asymptotic stability of digital filters with two´s complement quantization and overflow are provided. Previous stability results for combinations of roundoff quantization and any type of overflow are also improved upon

Keywords

difference equations; digital filters; quantisation; roundoff errors; stability; bounded-input-bounded output properties; fixed-point digital filters; global asymptotic stability; nonlinear discrete difference equations; overflow; overflow nonlinearities; quantization; roundoff quantization; sector-type nonlinearities; two´s complement quantization; Asymptotic stability; Circuit stability; Difference equations; Digital filters; Linear systems; Nonlinear equations; Nonlinear systems; Quantization; Registers; Search methods;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.168918

Filename

168918