EIGENVALUES OF A MATRIX INSIDE AN ELLIPSE AND TSCHEBYSCHEV FILTER

被引：4

作者：

AHN, SM

机构：

[1] Convair Division, General Dynamics, San Diego

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1979年 / 24卷 / 06期

关键词：

D O I：

10.1109/TAC.1979.1102204

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The conditions for a matrix to have all its eigenvalues inside an ellipse are obtained and explained in terms of a vector norm. A set of functions orthogonal on the ellipse is obtained and the relation between the Chebyshev filter and these functions is presented. The Butterworth filter is derived as a particular case. Copyright © 1979 by The Institute of Electricala and Electronics Engineers Inc.

引用

页码：986 / 987

页数：2