Two's complement quantization in two-dimensional state-spacedigital filters |
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Authors: | Bose T Trautman DA |
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Affiliation: | The Citadel, Charleston, SC; |
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Abstract: | Two-dimensional (2-D) state-space digital filters are investigated for stability with and without quantization. A sufficient condition is obtained for the stability of the linear Fornasini-Marchesini (1976) state-space model. The same model is then studied for stability when implemented using two's complement truncation quantization, and a sufficient condition for asymptotic stability of the nonlinear filter is obtained. In the process, a theorem is proved which gives a sufficient condition for the stability of a one-dimensional (1-D) state-space digital filter under the same type of quantization |
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