Title :
Stability of the 2-D state-space system with overflow and quantization
Author_Institution :
Dept. of Electr. Eng., Colorado Univ., Denver, CO, USA
fDate :
6/1/1995 12:00:00 AM
Abstract :
Two-dimensional (2-D) digital filters are investigated with and without the nonlinear effects of overflow and quantization when implemented in fixed-point arithmetic. A sufficient condition is established for the stability of the linear Fornasini-Marchesini state-space model. The same system is then studied for stability when implemented using two´s complement arithmetic. The combined effects of overflow and quantization are considered, and sufficient conditions for stability are derived
Keywords :
circuit stability; digital arithmetic; quantisation (signal); state-space methods; two-dimensional digital filters; 2D state-space system; fixed-point arithmetic; linear Fornasini-Marchesini model; nonlinear effects; overflow; quantization; stability; two´s complement arithmetic; Asymptotic stability; Circuits; Digital filters; Fixed-point arithmetic; Linear systems; Multidimensional systems; Nonlinear equations; Quantization; Sufficient conditions; Two dimensional displays;
Journal_Title :
Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on
