Deconvolution Post-processing Algorithm of Minimum Variance Distortionless Response Beamformer

In order to improve the azimuth estimation capability of the minimum variance distortionless response （MVDR） beamforming algorithm， the output power spectrum of the MVDR algorithm was reformed as a convolution form， two deconvolution post-processing techniques were proposed to deconvolve the azimuth spectrum of MVDR. The algorithms take the MVDR azimuth spectrum of a single sound source at the center of the angular space as a point spreading function （PSF）， and use the Richardson-Lucy algorithm and the fast iterative shrinkage-thresholding algorithm （FISTA） to deconvolute the MVDR （MVDR-RL， MVDR-FISTA） azimuth spectrum. The MVDR-RL and MVDR-FISTA azimuth spectrum has lower background level， higher resolution， and higher estimation accuracy. Simulation experiments show the good performance of the proposed algorithm.