Acoustic velocity vectors are important for human's localization of sound at low frequencies. This paper proposes a sound field reproduction algorithm, which matches the acoustic velocity vectors in a circular listening area. In previous work, acoustic velocity vectors are matched either at sweet spots or on the boundary of the listening area. Sweet spots restrict listener's movement, whereas measuring the acoustic velocity vectors on the boundary requires complicated measurement setup. This paper proposes the cylindrical harmonic coefficients of the acoustic velocity vectors in a circular area (CHV coefficients), which are calculated from the cylindrical harmonic coefficients of the global pressure (global CHP coefficients) by using the sound field translation formula. The global CHP coefficients can be measured by a circular microphone array, which can be bought off-the-shelf. By matching the CHV coefficients, the acoustic velocity vectors are reproduced throughout the listening area. Hence, listener's movements are allowed. Simulations show that at low frequency, where the acoustic velocity vectors are the dominant factor for localization, the proposed reproduction method based on the CHV coefficients results in higher accuracy in reproduced acoustic velocity vectors when compared with traditional method based on the global CHP coefficients.

翻译：声速矢量对低频声源定位至关重要。本文提出一种匹配圆形听音区域内声速矢量的声场复现算法。现有工作要么在最佳听音点匹配声速矢量，要么在听音区域边界进行匹配。最佳听音点限制了听者移动，而测量边界处的声速矢量则需要复杂的测量装置。本文提出圆形区域内声速矢量的柱谐系数（CHV系数），该系数通过声场平移公式由全局声压的柱谐系数（全局CHP系数）计算得到。全局CHP系数可通过市售圆形传声器阵列测量。通过匹配CHV系数，可在整个听音区域复现声速矢量，从而允许听者自由移动。仿真结果表明：在声速矢量为定位主导因素的低频段，基于CHV系数的复现方法相比传统基于全局CHP系数的方法，能获得更高精度的复现声速矢量。