Phase conditions for Schur polynomials

被引：0

作者：

Keel, LH ^{[1
]}

Bhattacharyya, SP

机构：

[1] Tennessee State Univ, Ctr Excellence Informat Syst, Nashville, TN 37203 USA

[2] Texas A&M Univ, Dept Elect Engn, College Stn, TX 77843 USA

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS | 2002年 / 49卷 / 10期

关键词：

phase monotonicity; rate of change of phase; Schur polynomial;

D O I：

10.1109/TCSI.2002.803244

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

The rate of change of phase of a real or complex Schur polynomial, evaluated along the unit circle traversed counterclockwise, is strictly positive. For polynomials with real coefficients, this bound can be tightened. These and some other fundamental bounds on the rate of change of phase are derived here, using the Tchebyshev representation of the image of a real polynomial evaluated on the unit circle.

引用

页码：1509 / 1513

页数：5

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