Title :
Limit cycles in zero input digital filters due to two´s complement quantization
Author :
Bose, Tamal ; Brown, David P.
Author_Institution :
Dept. of Electr. Eng., Citadel, Charleston, SC, USA
fDate :
4/1/1990 12:00:00 AM
Abstract :
Limit cycles in zero-input N-order digital filters due to two´s-complement truncation quantizers are investigated. A necessary condition and a sufficient condition for the existence of such limit cycles are presented. For the case of period one and period two, a necessary and sufficient condition is established. Some illustrative examples are given
Keywords :
digital filters; filtering and prediction theory; limit cycles; limit cycles; truncation quantizers; two´s complement quantization; zero input digital filters; Digital filters; Equations; Interpolation; Lagrangian functions; Limit-cycles; Polynomials; Power harmonic filters; Quantization; Sampling methods; Sufficient conditions;
Journal_Title :
Circuits and Systems, IEEE Transactions on
