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.
ASJC Scopus subject areas
- Signal Processing
- Electrical and Electronic Engineering