DocumentCode
2640314
Title
A Moebius matrix representation for real symmetric Toeplitz matrices
Author
Feyh, German
Author_Institution
Cirrus Logic, Broomfield, CO, USA
Volume
2
fYear
1998
fDate
1-4 Nov. 1998
Firstpage
1392
Abstract
Several representations of real symmetric Toeplitz matrices are known. The Caratheodory representation is built on Vandermonde and diagonal matrices. The LU decomposition is used in linear prediction. Here a new representation of the real symmetric Toeplitz matrix is introduced as the sum of a class of Moebius matrices. The class of Moebius matrices M used here maps Toeplitz matrices T onto Toeplitz matrices via the transformation T/sub 1/=M*TM. Using the properties this class of Moebius matrices one can reformulate the problem as a Prony spectral estimation problem.
Keywords
Toeplitz matrices; eigenvalues and eigenfunctions; matrix decomposition; parameter estimation; prediction theory; spectral analysis; Caratheodory representation; LU decomposition; Moebius matrix representation; Prony spectral estimation problem; Vandermonde matrix; diagonal matrix; eigendecomposition; linear prediction; real symmetric Toeplitz matrices; Equations; Logic; Matrix decomposition; Polynomials; Symmetric matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Signals, Systems & Computers, 1998. Conference Record of the Thirty-Second Asilomar Conference on
Conference_Location
Pacific Grove, CA, USA
ISSN
1058-6393
Print_ISBN
0-7803-5148-7
Type
conf
DOI
10.1109/ACSSC.1998.751555
Filename
751555
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