Post detection Integration Analysis of Adaptive Detection of PartiallyCorrelated X2 Targets in The Presence of Interferers

The moderately fluctuating Rayleigh and ?2 targets represent an important class of practical targets. The illumination of this class by a coherent pulse train will return a train of correlated pulses with a correlation coefficient in the range 0 < ? < 1 (intermediate between SWII and SWI models in the case of Rayleigh targets).and (intermediate between SWIV and SWIII models in the case of ?2 targets). Therefore, it is interesting to adaptively detect this class of partially-correlated targets. On the other hand, the constant false alarm rate in the presence of variable levels of noise is usually a requirement placed on any modern radar. The CA and OS schemes are the most familiar candidates in this category of detection techniques. Our goal in this paper is to analyze their detection performances for the case where the radar receiver post-detection integrates M pulses of an exponentially correlated signal from targets which exhibit ?2 statistics with two and four degrees of freedom. Exact formulas for the detection probabilities are derived, in the absence as well as in the presence of spurious targets. As predicted, the CA detector has the best homogeneous performance while the OS scheme gives the best target multiplicity performance when the number of outlying targets is within its allowable values.