Adaptive Detection of Point-Like Targets in Spectrally Symmetric Interference

We address adaptive radar detection of targets embedded in ground clutter dominated environments characterized by a symmetrically structured power spectral density. At the design stage, we leverage on the spectrum symmetry for the interference to come up with decision schemes capable of capitalizing the a-priori information on the covariance structure. To this end, we prove that the detection problem at hand can be formulated in terms of real variables and, then, we apply design procedures relying on the GLRT, the Rao test, and the Wald test. Specifically, the estimates of the unknown parameters under the target presence hypothesis are obtained through an iterative optimization algorithm whose convergence and quality guarantee is thoroughly proved. The performance analysis, both on simulated and on real radar data, confirms the superiority of the considered architectures over their conventional counterparts which do not take advantage of the clutter spectral symmetry.

I. Introduction

In the last years, radar community undertook different routes towards the design of adaptive detection schemes. The most common design criteria as the Generalized Likelihood Ratio Test (GLRT), the Rao test, and the Wald test have been exploited in conjunction with specific conditions on the interference affecting the target echoes usually arising in some operating scenarios.