Widely linear minimum dispersion beamforming for sub-Gaussian noncircular signals

• We propose two WL-MD based beamforming for sub-Gaussian noncircular signals.
• The proposed beamformers have good performance even in high SNR and are able to process more signals than sensors.
• The SOCP formulations are given to solve the proposed beamformers.

We propose two widely linear minimum dispersion based beamforming for sub-Gaussian noncircular signals: widely linear minimum dispersion distortionless response (WL-MDDR) and widely linear quadratically constrained minimum dispersion (WL-QCMD). In the nonideal conditions, taking full advantages of noncircularity and sub-Gaussian properties of signals, the proposed algorithms are shown to achieve good performance even in high signal-to-noise ratio and process more signals than the number of sensors. The WL-MDDR beamformer is designed when the information about the steering vector and noncircularity coefficient of the desired signal is precise, while the WL-QCMD beamformer is robust against arbitrary errors in the steering vector and noncircularity coefficient. Numerical simulations verify the effectiveness of the proposed algorithms.