Reproducing the acoustic velocity vectors in a circular listening area

The acoustic velocity vectors are important for human's localization of sound at low frequencies and hence beneficial to sound field reproduction systems. To characterize the acoustic velocity vectors in a circular listening area, this paper proposes the radial independent cylindrical harmonic coefficients of the acoustic velocity vectors (CHV-indR coefficients), which are calculated from the cylindrical harmonic coefficients of the pressure in the circular listening area by using the sound field translation formula. To reproduce the acoustic velocity vectors in the listening area, this paper proposes velocity matching, which matches the desired CHV-indR coefficients. Simulations show that at low frequencies, where the acoustic velocity vectors are the dominant factor for localization, the proposed velocity matching leads to higher accuracy in the reproduced acoustic velocity vectors when compared with pressure matching, which matches the desired cylindrical harmonic coefficients of the pressure in the listening area.