A Moebius matrix representation for real symmetric Toeplitz matrices
German Feyh · 2002
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.