Resource allocation for random selection of distributed jammer towards multistatic radar system

The random array subset selection (RASS) jammer, which randomly selects a subset out of the transmit array antenna from time to time, was verified to effectively counter against multistatic radar system (MSRS). However, the countermeasure ability of RASS is restricted, because the probabilities of activating antenna elements for transmission are constrained to be identical. To further enhance the countermeasure ability, we propose the resource allocation of distributed jammer under random selection (RADJRS) in this paper, where antenna elements of the jammer are activated randomly with different probabilities, abandoning the previous constraint and generalizing RASS. We establish an optimization model with respect to the selection probabilities, whose objective function is minimizing the output-to-input jamming energy ratio of the jamming suppression method used in MSRS. This non-convex optimization model is then relaxed into a convex problem, facilitating the solution of the problem. Numerical results verify the feasibility of the relaxation and demonstrate that RADJRS outperforms the RASS when fighting against MSRS.