Stability of the 2-D State-Space System with Overflow and Quantization

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22 Scopus citations

Abstract

Two-dimensional (2-D) digital filters are investigated with and without the nonlinear effects of overflow and quantization when implemented in fixed-point arithmetic. A sufficient condition is established for the stability of the linear Fornasini-Marchesini state-space model. The same system is then studied for stability when implemented using two’s complement arithmetic. The combined effects of overflow and quantization are considered, and sufficient conditions for stability are derived.

Original languageEnglish (US)
Pages (from-to)432-434
Number of pages3
JournalIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Volume42
Issue number6
DOIs
StatePublished - Jun 1995
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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