Optimum detection of Gaussian signal fields in the multipathanisotropic noise environment and numerical evaluation of detection probabilities
Abstract
The optimum detector of Gaussian signal fields in the multipathanisotropic noise environment is derived. The optimum detector consists of a series of matched quadratic filters and a decisionmaker. The filters are spatially and temporally matched to the eigenwaves of the signaltonoise covariance, and the decisionmaker compares a quadratic form with a preassigned threshold. The optimum detector for singlepath signals in isotropic white noise is the wellknown delayandsum beamformer, which is widely used because of its simple structure. In the case of multipath signals in anisotropic noise, a substantial improvement in detection performance is possible over the beamformer. This is shown by numerically comparing the detection probability of the beamformer with that of the optimum detector for this case. In addition, we numerically evaluate the sensitivity of such an improvement to accurate knowledge of the signal and noise parameters that are required by the optimum detector. We also show the possibility of further improvement by the addition of a vertical segment to the commonly used horizontal linear array to provide sensitivity to the elevation angles of multipath signals.
 Publication:

IEEE Transactions on Information Theory
 Pub Date:
 March 1977
 Bibcode:
 1977ITIT...23..167K
 Keywords:

 Anisotropic Media;
 Multipath Transmission;
 Random Signals;
 Signal Detection;
 Signal To Noise Ratios;
 Angular Distribution;
 Matched Filters;
 Optimization;
 Probability Theory;
 Communications and Radar