Two´s complement quantization in two-dimensional state-space digital filters

Author

Bose, Tamal ; Trautman, David A.

Volume

40

Issue

10

fYear

1992

fDate

10/1/1992 12:00:00 AM

Firstpage

2589

Lastpage

2592

Abstract

Two-dimensional (2-D) state-space digital filters are investigated for stability with and without quantization. A sufficient condition is obtained for the stability of the linear Fornasini-Marchesini (1976) state-space model. The same model is then studied for stability when implemented using two´s complement truncation quantization, and a sufficient condition for asymptotic stability of the nonlinear filter is obtained. In the process, a theorem is proved which gives a sufficient condition for the stability of a one-dimensional (1-D) state-space digital filter under the same type of quantization

Keywords

analogue-digital conversion; digital arithmetic; filtering and prediction theory; state-space methods; two-dimensional digital filters; 1D digital filter; 2D state space digital filters; linear state space model; nonlinear filter; stability; sufficient condition; two´s complement truncation quantization; Asymptotic stability; Computer science; Digital filters; Equations; Mathematics; Nonlinear filters; Quantization; Sufficient conditions; Transfer functions; Two dimensional displays;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.157299

Filename

157299