False alarm probability of the digital channelized receiver based CA-CFAR detector

This paper studies the effect of the correlated noise responses on the false alarm probability of the digital channelized receiver based CA-CFAR detector. The statistic characteristics of the digital channelized receiver are firstly discussed in additive white Gaussian noise. Two different expressions are then derived for the false alarm probability of the CA-CFAR detector when the noise responses are correlative and assumed independent, respectively. Finally, the above expressions are compared by simulation. The simulation experiments show that the detection performance of the CA-CFAR detector in assumed conditions is very similar to the one in practical conditions. Hence, the assumption that the noise responses are statistically independent is reasonable in practical engineering.