Title :
An algorithm for computing convex positively invariant sets for delta-sigma modulators
Author :
Schreier, Richard ; Goodson, Montgomery V. ; Zhang, Bo
Author_Institution :
Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA
fDate :
1/1/1997 12:00:00 AM
Abstract :
Computational geometry is used to locate convex positively invariant sets for delta-sigma modulators. The existence of a positively invariant set implies the stability of the modulator and yields rigorous state bounds. Convex positively invariant sets for single-bit modulators up to order four, with a restricted class of time-varying inputs, have been found. MATLAB code implementing the proposed algorithm is available from ftp: //next242.ece.orst.edu/pub/delsig.tar.Z
Keywords :
circuit stability; computational geometry; invariance; set theory; sigma-delta modulation; MATLAB code; algorithm; computational geometry; convex positively invariant sets; delta-sigma modulator; stability; Computational geometry; Delta modulation; Digital modulation; Digital-analog conversion; Frequency; MATLAB; Modular construction; Robustness; Solids; Stability;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
