STATISTICAL DESCRIPTION OF MONOPULSE PARAMETERS FOR TRACKING RAYLEIGHTARGETS

The conditional probability density function (pdf) is developed for ea ch monopulse measurement of a Rayleigh target by conditioning the pdf of the complex monopulse ratio on the measured amplitude of the sum si gnal. The conditional pdf is used to develop the conditional Cramer-Ra o Lower Bound (CRLB) for any unbiased estimator of the direction-of-ar rival (DOA). Conditional maximum likelihood (CML) and conditional meth od of moments (CMM) estimators of the DOA are developed along with est imates of the variances associated with the monopulse ratio and DOA es timate. Using simulation results, the performances of the CML and CMM estimators of the DOA are compared with the performance of standard mo nopulse ratio and the performances of the variance estimators are also studied.