Stability analysis of 1-D and 2-D fixed-point state-space digitalfilters using any combination of overflow and quantizationnonlinearities

Authors:
H. Kar;V. Singh
Affiliations:
Dept. of Electron. Eng., M.N.R. Eng. Coll., Allahahad;-
Venue:
IEEE Transactions on Signal Processing
Year:
2001

Citing 0
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Abstract

A new criterion, together with its frequency-domain interpretation for the global asymptotic stability of zero-input one-dimensional (1-D) state-space digital filters under various combinations of overflow and quantization nonlinearities and for the situation where quantization occurs after summation only, is presented. A condition in closed form involving solely the parameters of the state transition matrix for the nonexistence of limit cycles in second-order digital filters is derived. Improved versions of some of the stability results due to Leclerc and Bauer (1994) are established. Finally, the approach is extended to two-dimensional (2-D) digital filters described by the Roesser and the Fornasini-Marchesini second local state-space models