Distribution of multi-look SAR and ATI using two phase centers

This paper derives a closed form expression for the distribution of the multi-look phase variable from elementary considerations for zero mean Complex Gaussian data, and further uses the results to justify the thresholding often used in along track interferometry (ATI). Further the target in clutter (TIC) problem is addressed as a hypothesis testing problem and the effect of the environment and target velocity on ATI phase are characterized along with the probability of detection/false alarm as a function of target to clutter ratio and its velocity.