Brief Paper: On the asymptotic eigenvalue distribution of Block-Toeplitz matrices related to the generalized orthonormal basis functions model

Authors:
Tomás Oliveira e Silva
Affiliations:
Departamento de Electrónica e Telecomunicações/INESCAveiro, Universidade de Aveiro, 3810 Aveiro, Portugal
Venue:
Automatica (Journal of IFAC)
Year:
1999

Citing 6
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Abstract

In this paper we study the asymptotic distribution of the eigenvalues of a family of Hermitian block-Toeplitz matrices, generated by the internal signals of the so-called Generalized Orthonormal Basis Functions models. Our results are a generalization of a well-known theorem of Szego, which addresses only the case of Hermitian Toeplitz matrices.