Title :
Nonlinear Behaviors of Bandpass Sigma–Delta Modulators With Stable System Matrices
Author :
Ho, Charlotte Yuk-Fan ; Ling, Bingo Wing-Kuen ; Reiss, Joshua D. ; Yu, Xinghuo
Author_Institution :
Dept. of Electron. Eng., Queen Mary, Univ. of London
Abstract :
It has been established that a class of bandpass sigma-delta modulators may exhibit state space dynamics which are represented by elliptical or fractal patterns confined within trapezoidal regions when the system matrices are marginally stable. In this brief, it is found that fractal or irregular chaotic patterns may also be exhibited in the phase plane when the system matrices are strictly stable
Keywords :
chaos; sigma-delta modulation; state-space methods; transfer function matrices; bandpass modulators; fractal chaotic patterns; irregular chaotic patterns; nonlinear behaviors; sigma-delta modulators; stable system matrix; state space dynamics; Analog-digital conversion; Analytical models; Chaos; Fractals; Frequency; Limit-cycles; Noise shaping; Nonlinear dynamical systems; State-space methods; Transfer functions; Bandpass sigma–delta modulators (SDMs); chaos; fractals; stable system matrix;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2006.882805
