Some results concerning the asymptotic eigenvalues distribution of block-Toeplitz matrices related to the generalized orthonormal basis function model

We present some results concerning the asymptotic distribution of the eigenvalues of a class of block-Toeplitz matrices, generated by the correlation of the internal signals of the so-called generalized orthonormal basis function model. Special cases of this family of models are the FIR model, the Laguerre model, and the “two-parameter” Kautz model. Our results are a generalization of a well-known result of Szego, and are illustrated with computational examples