ℓ1-constrained MVDR-based selection of nonidentical directivities in microphone array

We propose a method for finding a good combination of nonidentical directivities for a microphone array, i.e., a combination that can achieve better noise suppression. To avoid checking all combinations of directivities, the method incrementally applies ℓ₁-constrained minimum variance distortionless response beamforming to the coherently-focused power spectral density matrices of microphone array signals. The ℓ₁ constraint selects microphones with greater importance by inducing a sparse filter for beamforming.