Asymptotic Stability of Two-Dimensional Digital Filters under Quantization

Tamal Bose

doi:10.1109/78.295201

Asymptotic Stability of Two-Dimensional Digital Filters under Quantization

Tamal Bose

Research output: Contribution to journal › Article › peer-review

19 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 language	English (US)
Pages (from-to)	1172-1177
Number of pages	6
Journal	IEEE Transactions on Signal Processing
Volume	42
Issue number	5
DOIs	https://doi.org/10.1109/78.295201
State	Published - May 1994
Externally published	Yes

ASJC Scopus subject areas

Signal Processing
Electrical and Electronic Engineering

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10.1109/78.295201

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title = "Asymptotic Stability of Two-Dimensional Digital Filters under Quantization",

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.",

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AB - 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.

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Asymptotic Stability of Two-Dimensional Digital Filters under Quantization

Abstract

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