Asymptotic estimates of the norms of positive definite Toeplitz matrices and detection of quasi-periodic components of stationary random signals

Vadim M Adamyan, Jose L Iserte, Igor M Tkachenko

Asymptotic forms of the Hilbert-Scmidt and Hilbert norms of positive definite Toeplitz matrices $Q_N=(b(j-k){)}_{j,k=0}^{N-1}$ as $N\to \infty$ are determined. Here $b(j)$ are con…