Cart (Loading....) | Create Account
Close category search window
 

On the minimal spectral factorization of nonsingular positive rational matrices

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)

In this paper a novel theory and algorithm for spectral factorization is presented. It is based on a criterion for minimal extraction of a so-called "elementary factor." Although not all positive para-hermitian matrices can be minimally factored into elementary factors, still the method can be adapted to fit the general case by increasing the degree in a well-controlled way and removing the nonminimal units of degree at the end. The method is, in this sense, strictly minimal. Moreover, the algorithm produces the spectral factor in ali cases where such a factorization does exist. Also, an independent proof of the famous spectral factorization result of Youla is obtained, so that the completeness of the method is ascertained. The procedure results in a workable and optimally minimal algorithm.

Published in:

Information Theory, IEEE Transactions on  (Volume:21 ,  Issue: 6 )

Date of Publication:

Nov 1975

Need Help?


IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.