Sparse reconstruction-based beampattern synthesis for multi-carrier frequency diverse array antenna

Frequency diverse array (FDA) antenna using uniform frequency increments produces a S-shaped range-angle-dependent transmit beampattern, which can provide more degrees of freedom (DOFs) to suppress the interferences with different ranges. However, the S-shaped beampattern is coupled in the range-angle dimension and consequently results in inaccurate target localizations. In this letter, we proposed a multi-carrier FDA scheme to generate a dot-shaped transmit beampattern. To further improve the range-angle resolution capability, the sparse reconstruction respective of compressive sensing is also adopted. Theoretical analysis and simulation results demonstrate that the proposed approach produces a decoupled high-resolution dot-shaped beampattern. Moreover, both single-dot and multi-dot shaped beampatterns can be synthesized in this way.