Title :
Periodic trajectories in piecewise-linear maps
Author_Institution :
Tech. Fac., Sv. Kliment Ohridski Unov., Bitola
fDate :
10/1/2001 12:00:00 AM
Abstract :
In this paper, we propose a general approach for finding periodic trajectories in piecewise-linear maps. The procedure is based on the decomposition of the initial state via the eigenvectors of their Jacobian and it is applied to digital filters with two´s complement overflow and ΣΔ modulators
Keywords :
digital filters; eigenvalues and eigenfunctions; piecewise linear techniques; sequences; sigma-delta modulation; ΣΔ modulators; Jacobian; digital filters; eigenvectors; initial state decomposition; periodic trajectories; piecewise-linear maps; sigma-delta modulators; two´s complement overflow; Arithmetic; Chaotic communication; Circuits; Digital filters; Digital modulation; Jacobian matrices; Orbits; Piecewise linear techniques; Research initiatives; Trajectory;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
