A parametric representation for k-variable Schur polynomials

Author

Kummert, Anton

Author_Institution

Lehrstuhl fuer Nachrichtentech., Ruhr-Univ., Bochum, West Germany

Volume

37

Issue

10

fYear

1990

fDate

10/1/1990 12:00:00 AM

Firstpage

1288

Lastpage

1291

Abstract

A parametric representation for k-variable polynomials with prescribed partial degrees is given, where the coefficients are functions of real parameter vectors. For these parameters, simple conditions which are sufficient to guarantee that the corresponding polynomials are widest-sense Schur are established. Simple necessary and sufficient conditions are introduced in the two-variable case so that the corresponding polynomials are scattering Schur. The synthesis of two-dimensional lossless one-ports and a parametric representation of constant unitary matrices form the basis of these considerations

Keywords

matrix algebra; network synthesis; polynomials; Schur polynomials; coefficients; constant unitary matrices; k-variable polynomials; parametric representation; prescribed partial degrees; real parameter vectors; two-dimensional lossless one-ports; Circuits and systems; Computer errors; Computer networks; Design optimization; Digital filters; Impedance; Multidimensional systems; Polynomials; Scattering; Two dimensional displays;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.103223

Filename

103223