Finite wordlength effects in fixed-point 2-D digital filters

The stability of 2D digital filters implemented with two's complement quantization is investigated. The difference equation model is considered for the following cases: quantization after each product, and 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.<
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