Abstract

The design of Directional Modulation (DM) signal by a phased array is one of the important topics in the field of physical layer security communication. In this paper, a synthesis method for synthesis of a sparse array is proposed based on convex optimization. Firstly, a nonconvex optimization problem is formulated associated with some basic metrics of DM signal. Secondly, two different solutions are presented: one is based on Iterative Reweighted l1-norm (IRL) resulting in a superdirective array with the interelement spacing less than half-wavelength; the other is based on Mixed Integer Programming (MIP) resulting in a nonsuperdirective array with the interelement spacing more than half-wavelength. Finally, the power efficiency of DM transmitter is optimized based on MIP algorithm. Simulation results show that the proposed synthesis method provides greater flexibility of controlling the security performance, power efficiency and sparse level, while at the same time the number of excitations is less than the uniformly spaced linear array in the benchmark problems.

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