Endfire Supergain with a Uniform Line Array of Pressure and Velocity Sensors

Endfire steered arrays of collocated omni-directional pressure and dipole velocity sensors can achieve supergain even when the sensors are spaced at one-half wavelength. The explanation of this phenomenon lies in the ability of a collocated pair to steer a null to cancel a grating lobe. Sensitivity to uncorrelated noise can render this idealized optimum solution impractical, but by using a white noise gain constraint, significant, practically realizable gain over CBF can be achieved. A simple new deterministic approach combining shading, oversteering and grating cancellation can achieve similar performance to the constrained optimum.