Title :
Invariant subspaces in n-th order digital filters with two´s complement overflow
Author :
Mitrovski, Cvetko D.
Author_Institution :
Fac. of Tech. Sci., Univ. "St. Clement of Ohrid", Bitola, Macedonia
Abstract :
In this paper we propose a general approach for determining classes of n-th order digital filters with two´s complement overflow which have invariant subspaces and analytically determine their positions and/or their boundaries. The proposed approach is based on analysis of projections of trajectories on adequately chosen directions in the filter phase space.
Keywords :
digital filters; eigenvalues and eigenfunctions; piecewise linear techniques; digital filters; filter phase space; invariant subspace; piecewise linear techniques; trajectory projection; two´s complement overflow; Difference equations; Digital filters; Eigenvalues and eigenfunctions; Extraterrestrial phenomena; Geometry; Nonlinear dynamical systems; Piecewise linear techniques; Region 3; Stability; Vectors; Digital filter; attractor; eigenvalue; eigenvector; invariant space; phase space; two´s complement overflow;
Conference_Titel :
Telecommunication in Modern Satellite, Cable, and Broadcasting Services, 2009. TELSIKS '09. 9th International Conference on
Conference_Location :
Nis
Print_ISBN :
978-1-4244-4382-6
Electronic_ISBN :
978-1-4244-4383-3
DOI :
10.1109/TELSKS.2009.5339428
