Title :
Two-dimensional digital filters without overflow oscillations and instability due to finite word length
Author :
Tzafestas, Spyros G. ; Kanellakis, A. ; Theodorou, Nicolas J.
Author_Institution :
Dept. of Electr. Eng., Nat. Tech. Univ., of Athens, Greece
fDate :
9/1/1992 12:00:00 AM
Abstract :
New criteria for the absence of finite word-length effects, such as overflow oscillations and instability, in two-dimensional digital filters are presented. The criteria are formulated using the state-space representations and are based on results concerning the 2D Lyapunov equation. Several examples illustrate the theoretical results
Keywords :
Lyapunov methods; filtering and prediction theory; stability; state-space methods; two-dimensional digital filters; 2D Lyapunov equation; 2D digital filters; criteria; finite word-length effects; instability; overflow oscillations; state-space representations; two-dimensional digital filters; Arithmetic; Digital filters; Eigenvalues and eigenfunctions; Finite wordlength effects; Helium; Limit-cycles; Nonlinear equations; Nonlinear filters; Nonlinear systems; Sufficient conditions;
Journal_Title :
Signal Processing, IEEE Transactions on
