Power Control and Beamforming in Active Phased Array Radars to Reduce Interception Probability under Interceptor’s Direction Uncertainties

n this paper, transmit beamforming and T/R modules' allocated power in active phased array radars are ‎optimized to reduce interception probability of radar under uncertainties in the interceptor’s direction. The LPI ‎problem is solved analytically and some theorems are extracted for optimum beamforming weights design. Two ‎LPI optimization problems from two perspectives are formulated and solved analytically in preparing two closed ‎form solutions in combination with heuristic iterative algorithms for designing transmit beamforming weights. ‎LPI performance and computation time of proposed algorithms are compared with the benchmark numerical ‎Barrier algorithm and with the conventional radar in which maximizing detection probability without ‎interception probability issues is considered. Simulation results show that proposed algorithms not only minimize ‎the interception probability of radar but also satisfy desired detection performance and power budget ‎constraints, simultaneously. The proposed algorithms outperform standard numerical barrier algorithm in ‎complexity and optimality.‎