Title :
Asymptotic stability of two-dimensional digital filters under quantization
Author_Institution :
Dept. of Electr. Eng., Colorado Univ., Denver, CO, USA
fDate :
5/1/1994 12:00:00 AM
Abstract :
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 (1975) 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
Keywords :
analogue-digital conversion; difference equations; filtering and prediction theory; state-space methods; two-dimensional digital filters; 2-D digital filters; 2-D state-space model; asymptotic stability; difference equation model; sufficient condition; two´s complement quantization; two-dimensional digital filters; Asymptotic stability; Difference equations; Digital filters; Filtering; Helium; Multidimensional systems; Quantization; Robust stability; Sufficient conditions; Transfer functions;
Journal_Title :
Signal Processing, IEEE Transactions on
