Some properties of generalized K-centrosymmetric H-matrices
Journal of Computational and Applied Mathematics
Asymptotic optimal SINR performance bound for space-time beamformers
Signal Processing
Asymptotic generalized eigenvalue distribution of block multilevel toeplitz matrices
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Low-complexity near-optimal presence detection of a linearly modulated signal
GLOBECOM'09 Proceedings of the 28th IEEE conference on Global telecommunications
Asymptotically optimal low-complexity SC-FDE in data-like co-channel interference
IEEE Transactions on Communications
Information-theoretic analysis of underwater acoustic OFDM systems in highly dispersive channels
Journal of Electrical and Computer Engineering - Special issue on Underwater Communications and Networking
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Szego's (1984) theorem states that the asymptotic behavior of the eigenvalues of a Hermitian Toeplitz matrix is linked to the Fourier transform of its entries. This result was later extended to block Toeplitz matrices, i.e., covariance matrices of multivariate stationary processes. The present work gives a new proof of Szego's theorem applied to block Toeplitz matrices. We focus on a particular class of Toeplitz matrices, those corresponding to covariance matrices of single-input multiple-output (SIMO) channels. They satisfy some factorization properties that lead to a simpler form of Szego's theorem and allow one to deduce results on the asymptotic behavior of the lowest nonzero eigenvalue for which an upper bound is developed and expressed in terms of the subchannels frequency responses. This bound is interpreted in the context of blind channel identification using second-order algorithms, and more particularly in the case of band-limited channels