The odd world of periodic polynomials

Authors:	Bittanti Sergio, Politecnico di Milano, Italy Colaneri Patrizio, Politecnico di Milano, Italy
Topic:	2.1 Control Design
Session:	Polynomial Design Methods: Theoretical Achievements
Keywords:	Periodic systems, periodic polynomials, seros, spectral factorization, Wiener filtering

Abstract

The purpose of this paper is to set the basis for the study of polynomials with periodic coefficients.We define first the elementary algebra, and then we introduce fundamental notions such as those of adjoint polynomial and of zero of a polynomial. The we pass to periodic systems, for which we touch the problems of spectral factorization and Wiener filtering in discrete time.