Title :
LMI Approach to Stability of Direct Form Digital Filters Utilizing Single Saturation Overflow Nonlinearity
Author_Institution :
Atilim Univ., Ankara
Abstract :
A criterion for the elimination of limit cycles in direct form digital filters utilizing single saturation overflow nonlinearity is presented. The criterion takes the form of linear matrix inequality and, hence, is computationally tractable. An example showing the effectiveness of the present criterion is given.
Keywords :
asymptotic stability; digital filters; limit cycles; linear matrix inequalities; LMI approach; computationally tractable; direct form digital filters; limit cycles; linear matrix inequality; single saturation overflow nonlinearity; stability; Asymptotic stability; Digital arithmetic; Digital filters; Finite wordlength effects; Fixed-point arithmetic; Helium; Limit-cycles; Linear matrix inequalities; Nonlinear systems; Quantization; Asymptotic stability; digital filters; finite wordlength effects; limit cycles; nonlinear systems;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.901627
