SINR analysis in persymmetric adaptive processing

We study the normalized output signal-to-interference-plus-noise ratio (SINR) of a sample matrix inversion (SMI) beamformer with exploiting a priori information on persymmetric structures in the received signal. An exact expression for the expectation of the normalized output SINR (i.e., average S-INR loss) of the persymmetric SMI beamformer is obtained. Simulation results reveal that the exploitation of the persymmetric structure is equivalent to doubling the amount of training data.

[1]  Wei Liu,et al.  Performance Analysis for Finite Sample MVDR Beamformer With Forward Backward Processing , 2011, IEEE Transactions on Signal Processing.

[2]  Harry L. Van Trees,et al.  Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory , 2002 .

[3]  Hongbin Li,et al.  On the performance of a persymmetric adaptive matched filter , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[4]  David I. Lekhovytskiy,et al.  To the theory of adaptive signal processing in systems with centrally symmetric receive channels , 2016, EURASIP J. Adv. Signal Process..

[5]  H. Wang,et al.  A persymmetric multiband GLR algorithm , 1992 .

[6]  A. Gorokhov,et al.  On an estimation of the convergence rate of adaptive interference compensation filters with a persymmetrical correlation matrix , 1993 .

[7]  J. Capon High-resolution frequency-wavenumber spectrum analysis , 1969 .

[8]  Ramon Nitzberg Application of Maximum Likelihood Estimation of Persymmetric Covariance Matrices to Adaptive Processing , 1980, IEEE Transactions on Aerospace and Electronic Systems.

[9]  Z. Ye,et al.  DOA Estimation by Exploiting the Symmetric Configuration of Uniform Linear Array , 2007, IEEE Transactions on Antennas and Propagation.

[10]  I. Reed,et al.  Rapid Convergence Rate in Adaptive Arrays , 1974, IEEE Transactions on Aerospace and Electronic Systems.

[11]  Hongbin Li,et al.  Persymmetric adaptive target detection with distributed MIMO radar , 2015, IEEE Transactions on Aerospace and Electronic Systems.

[12]  Anja Vogler,et al.  An Introduction to Multivariate Statistical Analysis , 2004 .

[13]  Xiang-Gen Xia,et al.  Average SINR Calculation of a Persymmetric Sample Matrix Inversion Beamformer , 2016, IEEE Transactions on Signal Processing.

[14]  M. V. Jambunathan Some Properties of Beta and Gamma Distributions , 1954 .

[15]  Philippe Forster,et al.  Persymmetric Adaptive Radar Detectors , 2011, IEEE Transactions on Aerospace and Electronic Systems.