Two's Complement Quantization in Two-Dimensional State-Space Digital Filters

Tamal Bose, David A. Trautman

Research output: Contribution to journalArticle

31 Scopus citations

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 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.

Original languageEnglish (US)
Pages (from-to)2589-2592
Number of pages4
JournalIEEE Transactions on Signal Processing
Volume40
Issue number10
DOIs
StatePublished - Oct 1992
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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