Asymmetric Supercardioid Beamforming Using Circular Microphone Arrays

We present a joint-diagonalization based approach for a closed-form solution of the asymmetric supercardioid, implemented with circular differential microphone arrays. These arrays are characterized as compact frequency-invariant superdirective beamformers, allowing perfect steering for all azimuthal directions. Experimental results show that the asymmetric supercardioid yields superior performance in terms of white noise gain, directivity factor, and front-to-back ratio, when additional directional attenuation constraints are imposed in order to suppress interfering signals.