Asymptotic Stability of Two-Dimensional Digital Filters under Quantization

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13 Scopus citations

Abstract

The stability of 2-D digital filters implemented with two's complement quantization is investigated. The difference equation model is considered for the following cases: i) quantization after each product and ii) quantization after a complete sum of products. For both cases, sufficient conditions are established for asymptotic stability. The 2-D state-space Roesser's model is also considered under two's complement quantization, and a sufficient condition is derived for its stability. Some examples are given to illustrate the results.

Original languageEnglish (US)
Pages (from-to)1172-1177
Number of pages6
JournalIEEE Transactions on Signal Processing
Volume42
Issue number5
DOIs
StatePublished - May 1994
Externally publishedYes

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

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