Asymptotic distribution of the conditional signal-to-noise ratio in an eigenanalysis-based adaptive array
- 1 July 1997
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Aerospace and Electronic Systems
- Vol. 33 (3) , 988-997
- https://doi.org/10.1109/7.599322
Abstract
The statistical characterization of the conditioned signal-to-noise ratio (SNR) of the sample matrix inversion (SMI) method has been known for some time. An eigenanalysis-based detection method, referred to as the eigencanceler, has been shown to be a useful alternative to SMI, when the interference has low rank. In this work, the density function of the conditioned SNR is developed for the eigencanceler. The development is based on the asymptotic expansion of the distribution of the principal components of the covariance matrix. It is shown that, unlike the SMI method, the eigencanceler yields a conditional SNR distribution that is dependent on the covariance matrix, It is further shown that simpler, covariance matrix-independent approximations can be found for the large interference-to-noise case. The new distribution is shown to be in good agreement with the numerical data obtained from simulations.Keywords
This publication has 10 references indexed in Scilit:
- The eigencanceler: adaptive radar by eigenanalysis methodsIEEE Transactions on Aerospace and Electronic Systems, 1996
- Adaptive detection using low rank approximation to a data matrixIEEE Transactions on Aerospace and Electronic Systems, 1994
- An eigenanalysis interference cancelerIEEE Transactions on Signal Processing, 1991
- Effects of estimated noise covariance matrix in optimal signal detectionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- An alternate derivation of the distribution of the conditioned signal-to-noise ratioIEEE Transactions on Antennas and Propagation, 1986
- Asymptotic results for eigenvector methodsIEE Proceedings F Communications, Radar and Signal Processing, 1985
- Sample Size Considerations for Adaptive ArraysIEEE Transactions on Aerospace and Electronic Systems, 1980
- Rapid Convergence Rate in Adaptive ArraysIEEE Transactions on Aerospace and Electronic Systems, 1974
- Statistical Analysis Based on a Certain Multivariate Complex Gaussian Distribution (An Introduction)The Annals of Mathematical Statistics, 1963
- Asymptotic Theory for Principal Component AnalysisThe Annals of Mathematical Statistics, 1963