The Analysis of Frequency Diverse Phased Multi-Input Multi-Output Radars within Non homogeneous Environments

In this paper, phased multiple-input-multiple-output radars (known as PMRs) that transmitfrequency diverse orthogonal signals with full overlapped sub-arrays are studied. At first, theoptimal detector of PMR is designed by assuming heterogeneous clutter and random targetscattering coefficients. Then, for the optimal detector, the closed-form detection probability andfalse-alarm rate are computed. At the end, the power assigned to the orthogonal signals isoptimized analytically based on the convex optimization framework to maximize the detectionprobability. The numerical simulations show that the optimal detector is a joint spatial-temporalfilter that attenuates the clutters considerably by effectively combining orthogonal signals inorder to to improve the PMR detection probability in comparison with the phased radar (PR).Furthermore, simulation results illustrate that optimal power assignment in the form oforthogonal waves, based on the statistics of the target scatterings and that of the clutter,improves the detection performance of the PMR in comparison with the conventional equalpower assignment methods.