An exact Bayesian detector for multistatic passive radar

An exact Bayesian likelihood ratio is derived for detecting the presence of a rank-2 signal in M > 2 channels of noisy receiver data under the assumption that the signal is known to be present on K = 2 of the channels (reference channels). The objective of the test is thus to ascertain whether the signal is also present on the other channels (surveillance channels). The performance of the Bayesian detector is compared to that of the generalized likelihood ratio test (GLRT). In this scenario, the Bayesian detector is found to be quite significantly better than the GLRT.