Title: A Moebius matrix representation for real symmetric Toeplitz matrices
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.
Publication Year: 2002
Publication Date: 2002-11-28
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 1
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