Multi-Objective Optimization in Communication and Radar Spectrum Sharing via Tchebycheff Algorithm

Abstract

In this paper, we investigate the multiobjective optimization problem for array radar and multiple-input multiple-output (MIMO) communication spectrum sharing. The aim is to simultaneously implement the communication rates and the radar output signal-to-interference plus noise ratio (SINR) optimization. The multiobjective problem is converted into a singleobjective optimization problem by utilizing the weighted Tchebycheff method. We solve the resulting formulation via alternative iteration, whose convergence is guaranteed and the closed-form solutions can be derived. Finally, the numerical results are presented to show the merits of the proposed approach and validate the theoretical analyses.