Relationship between input-scaling and stability of the forced response of recursive digital filters

Author

Sim, Puay Kia

Author_Institution

Dept. of Electron. & Commun. Sci., La Trobe Univ., Bundoora, Vic., Australia

Volume

35

Issue

5

fYear

1988

fDate

5/1/1988 12:00:00 AM

Firstpage

506

Lastpage

511

Abstract

The stability of forced response of a general recursive digital filter operating in the inherent presence of overflow nonlinearities is examined. A theorem is derived that relates forced-response stability to the degree of input-scaling. The technique is applied to the investigation of the stability properties of state-space digital filters, resulting in a criterion for the forced-input stability of Nth-order state-space filters. Subsequently, it is applied to the second-order case. The resultant stability criterion is applied to the investigation of optimal state-space and normal filters. Finally, the stability properties of wave digital filters are discussed

Keywords

digital filters; filtering and prediction theory; stability criteria; DSP; Nth-order state-space filters; forced-response stability; input-scaling; overflow nonlinearities; recursive digital filters; second-order case; stability criterion; stability of forced response; stability properties; state-space digital filters; wave digital filters; Australia; Digital filters; Digital systems; Fixed-point arithmetic; Milling machines; Nonlinear distortion; Nonlinear filters; Quantization; Stability criteria; State-space methods;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.1777

Filename

1777