Detection probability for partially correlated chisquare targets
Abstract
The probability of detection of the sum of N squarelawdetected pulses is derived for the case where the signal fluctuation obeys chisquare statistics with four degrees of freedom. Swerling's (1960) case III and IV represent the cases where the signal is completely correlated and completely decorrelated, respectively, from pulse to pulse. An exact expression for probability of detection is derived for the condition of partial signal correlation. The results given are compared with the approximate technique commonly used to handle partial signal correlation.
 Publication:

IEEE Transactions on Aerospace Electronic Systems
 Pub Date:
 July 1988
 DOI:
 10.1109/7.7183
 Bibcode:
 1988ITAES..24..411W
 Keywords:

 False Alarms;
 Probability Theory;
 Radar Detection;
 Random Noise;
 Signal To Noise Ratios;
 Target Acquisition;
 Degrees Of Freedom;
 Eigenvalues;
 Laplace Transformation;
 Markov Processes;
 Matrices (Mathematics);
 Squares (Mathematics);
 Communications and Radar