Performance analysis of diverse GLRT detectors in the presence of multipath

The performance of two detection strategies based on two distinct multipath structures of a radar-target environment is presented under the assumption of a zero-mean complex circular Gaussian noise (CWGN) with known power spectral density (PSD) σ
²
. Neyman Pearson (NP) and Generalized Likelihood Ratio Tests (GLRT) are considered as optimum and sub-optimum receivers, respectively. One strategy, associated with NP1 and GLRT1 receivers, is considered for highly clumped multipath returns in the time-domain, while the other strategy, associated with NP2 and GLRT2 receivers, which are exploiting multipath in the target detection, is taken for entirely resolvable multipath returns in time-domain. The performance comparison is conducted particularly in a transition region, where multipath components are neither entirely resolvable nor highly clumped in time-domain. A qualitative analysis of the improvement in the target probability of detection with multipath exploitation is provided.