Toeplitz and circulant matrices: a review
Communications and Information Theory
Asymptotic generalized eigenvalue distribution of block multilevel toeplitz matrices
IEEE Transactions on Signal Processing
Limitations and capabilities of frequency domain broadbandconstrained beamforming schemes
IEEE Transactions on Signal Processing
Broadband Beamforming Using TDL-Form IIR Filters
IEEE Transactions on Signal Processing
Robustness of Adaptive Narrowband Beamforming With Respect to Bandwidth
IEEE Transactions on Signal Processing
IEEE Transactions on Information Theory
Asymptotic generalized eigenvalue distribution of block multilevel toeplitz matrices
IEEE Transactions on Signal Processing
| Hi-index | 0.08 |
In many detection applications, the main performance criterion is the signal to interference plus noise ratio (SINR). After linear filtering, the optimal SINR corresponds to the maximum value of a Rayleigh quotient, which can be interpreted as the largest generalized eigenvalue of two covariance matrices. Using an extension of Szego's theorem for the generalized eigenvalues of Hermitian block Toeplitz matrices, an expression of the theoretical asymptotic optimal SINR w.r.t. the number of taps is derived for arbitrary arrays with a limited but arbitrary number of sensors and arbitrary spectra. This bound is interpreted as an optimal zero-bandwidth spatial SINR in some sense. Finally, the speed of convergence of the optimal wideband SINR for a limited number of taps is analyzed for several interference scenarios.