Dot-Shaped Range-Angle Beampattern Synthesis for Frequency Diverse Array

The frequency diverse array (FDA) using linearly increasing frequency increment yields an “S”-shape range-angle beampattern, which provides the potential capability to suppress range-dependent interferences. However, the FDA transmit beampattern is coupled in range and angle dimensions, which may degrade the output signal-to-interference-plus-noise ratio performance. In this letter, we propose a symmetrical FDA beampattern synthesis approach using multicarrier frequency increments and convex optimization, named convex-multilog-FDA, to achieve dot-shaped transmit beampatterns. Both single-dot and multi-dot shaped beampatterns can be synthesized. Numerical results show that, the proposed approach outperforms the existing log-FDA using logarithmically increasing frequency increments in transmit energy focusing, sidelobe suppression, and array resolution performance.