Robust Chance Constrained Power Allocation Scheme for Multiple Target Localization in Colocated MIMO Radar System - 2018


Taking into consideration the probabilistic uncertainty on the target radar cross section (RCS) parameter, a robust likelihood constrained power allocation (RCC-PA) theme is presented for multiple target localization in colocated multiple-input multiple-output radar system. Such a system adopts a multibeam working mode, in which multiple simultaneous transmit beams are synthesized to illuminate multiple targets independently. We formulate the RCC-PA problem into a likelihood constrained programming model, where the whole power consumption of the multiple beams is minimized to meet a specified multitarget localization accuracy demand with high likelihood. Varied target RCS fluctuation models are mentioned with different sorts of probability distributions. We have a tendency to analytically show that the chance constrained programming problem for each RCS fluctuation model can equivalently be formulated as a deterministic convex optimization problem. Then, by formulating the Karush-Kuhn-Tuckers conditions, we tend to transform the convex optimization problem into a nonlinear equation solving problem, and then solve it by using the bisection method. Simulation results show that our RCC-PA scheme will enhance the facility utilization potency, and is more sturdy than the prevailing deterministic PA schemes.

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