Inverse filter design using numerical optimization for binaural synthesis based on optimal source distribution

The theory of the Optimal Source Distribution (OSD) has been proposed as the basis for binaural synthesis over loudspeakers. In applying this theory to practical systems, discrete linear loudspeaker arrangements and frequency-band division filtering cause an increase in the condition number of the transfer function matrix. This paper proposes a transfer function matrix reconstruction method by applying gain and delay parameters that are optimized using numerical optimization to reduce the condition number. The effectiveness of the proposed method is experimentally validated using a multiway loudspeaker system based on the OSD principle.