Radar Detection in White Gaussian Noise: A GLRT Framework

This chapter has considered classic radar detection in the presence of white Gaussian noise. The proposed approach first performs a compression of the observation space through reduction by sufficiency. Then detector design is attacked in the reduced dimensional space. The optimum NP detector is unfortunately not implementable for both the coherent and the noncoherent pulse trains. Thus, the robust GLRT-based approach is exploited to design practically implementable receivers that are canonical, namely independent of any prior assigned to the unknown parameters. This construction, depending on the coherency of the train, leads to either the classic coherent radar detector or linear and square-law integrators. Hence, a performance analysis of the obtained detection structures is conducted through analytic equations, where possible, or exploiting numerical simulations.