Title :
Tighter limit cycle bounds for digital filters
Author :
Campo, Jose David Osés-del ; Cruz-Roldán, Fernando ; Utrilla-Manso, Manuel
Author_Institution :
Dept. of Teoria de la Senal y Comunicaciones, Univ. de Alcala, Alcala De Henares, Spain
fDate :
3/1/2006 12:00:00 AM
Abstract :
A procedure for obtaining tighter bounds on zero-input limit cycles is presented. The proposed new bounds are applicable to digital filters of arbitrary order, described in state-space formulation and implemented with fixed-point arithmetic. For the most part, we obtain smaller bounds than those reported in the literature, using a computationally efficient algorithm that is easy to implement and has a comparatively short execution time. Simulation results show the validity of the proposed theory.
Keywords :
digital filters; fixed point arithmetic; limit cycles; state-space methods; digital filter; fixed-point arithmetic; state-space formulation; zero-input limit cycle; Asymptotic stability; Computational modeling; Convergence; Degradation; Digital filters; Fixed-point arithmetic; Limit-cycles; Quantization; Search methods; Testing; Bounds; digital filters; fixed-point; limit cycle;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2005.862606
