Title :
Planar least squares inverse polynomials: Part I-Algebraic properties
Author :
Delsarte, Philippe ; Genin, Yves V. ; Kamp, Y.
fDate :
1/1/1979 12:00:00 AM
Abstract :
A general analysis of the planar least squares inverse polynomials is presented. The algebraic properties of these polynomials are discussed in detail and applied to the stability problem related with the Shanks et al. conjecture. The theory of the orthogonal polynomial matrices on the unit circle is shown to provide interesting new results concerning planar least squares inverse polynomials.
Keywords :
General circuits and systems theory; Multidimensional digital filters; Multivariable polynomials; Recursive digital filter stability; Asymptotic stability; Digital filters; Filtering; Joining processes; Least squares methods; Matrix decomposition; Polynomials; Stability analysis; Stability criteria; Transmission line matrix methods;
Journal_Title :
Circuits and Systems, IEEE Transactions on
DOI :
10.1109/TCS.1979.1084558
