Joint antenna selection and waveform design for coexistence of MIMO radar and communications

Abstract As the problem of spectral congestion is becoming severe, coexistence between two primary spectrum users, radar and communications, has spurred extensive research interest. To reduce mutual interferences functions, MIMO waveform design needs to consider compatibility in both spatial domains, where former achieved by null forming frequency domain latter shaped beampattern synthesis. Additionally, high power efficiency low system overhead are desirable characteristics for design. this end, we first introduce a new realistic constraint, peak-to-valley-power-ratio (PVPR) constraint per antenna improve efficiency. Then, combined with PVPR propose switchable individual control scheme jointly optimize waveforms locations. We adopt max–min matching criterion impose $$\ell _{2,1}$$ ℓ 2 , 1 -norm penalty on matrix promote sparsity array. solve resultant non-smooth non-convex problem, develop modified alternating directions method multipliers, surrogate subproblem over primal variables solved instead original its local convergence analyzed. Finally, numerical experiments demonstrate effectiveness superiority proposed counterparts, especially obtaining lowest sidelobe level deeper nulls using much fewer antennas.