While utilizing solid spherical microphone arrays beamforming technology for sound source identification, the filter-and-sum algorithm improves the performance of side lobe attenuation relative to conventional spherical harmonics angularly resolved pressure algorithm, but it uses the source strength as output, which cannot reflect acoustic contribution from source to the target receiver, and the accuracy is relied on whether the focusing distance is equal to the true distance from the source to the center of the arrays. Aiming at this problem, a second order cone programming optimum filter model is constructed, taking the minimum of the maximum sidelobe as the objective and the mainlobe peak of sound pressure contribution without distortion as the constraint. The CVX convex optimization solver is used to obtain the filter parameters and spherical microphone array beamforming filter-and-sum algorithm which outputs pressure contribution is proposed finally. Both simulation and experiment show that the algorithm can quantify the acoustic contribution by pressure contribution from source to target, and the accuracy is almost independent of the focusing distance. Furthermore, it has excellent sidelobe suppression performance and good spatial resolution.
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