Detection loss of the sample matrix inversion technique
Abstract
The sample matrix inversion (SMI) technique is used for Doppler and/or array processing. Previous analysis of the technique has been in terms of signaltointerference plus noise ratio (SINR). For Gaussian statistics, this performance measure gives the same loss values as does a probability of detection analysis for lineartime invariant systems. It is often somewhat less valid for nonlinear or time variant systems. As SMI is a nonlinear technique, a probability of detection analysis has been performed. It is shown that the detection loss is larger than that computed by the SINR measure. It is also shown that though the loss predicted by the SINR measure only depends upon the number of measurements used to estimate the covariance matrix, the detection loss depends upon the false alarm probability and the number of adaptable elements in addition to the number of measurements.
 Publication:

IEEE Transactions on Aerospace Electronic Systems
 Pub Date:
 November 1984
 DOI:
 10.1109/TAES.1984.310467
 Bibcode:
 1984ITAES..20..824N
 Keywords:

 Adaptive Filters;
 Matrices (Mathematics);
 Signal Detection;
 Signal Processing;
 Signal To Noise Ratios;
 Weighting Functions;
 Doppler Radar;
 Estimating;
 Nonlinear Systems;
 Optimal Control;
 Probability Theory;
 Communications and Radar