Mismatched Signal Rejection Performance of the Persymmetric GLRT Detector

We analytically evaluate the mismatched signal rejection performance of a persymmetric generalized likelihood ratio test (PGLRT) detector in a mismatched case where the nominal target steering vector is not aligned with the true one. This PGLRT detector can be applied to target detection in Gaussian noise with unknown covariance matrix for several cases where the data under test are collected from multiple range cells (i.e., for a distributed target), multiple bands, or multiple coherent processing intervals. We derive analytical expressions for the detection probability of the PGLRT detector in the presence of target steering vector mismatch. All the theoretical results are verified with Monte Carlo simulations. Numerical examples are provided to show that the PGLRT detector is sensitive to the steering vector mismatches.