不同插值方法对残缺环阵声源定位的影响

研究了利用不完整麦克风阵列进行声源定位的算法，通过修正傅里叶插值、B样条插值和三次样条插值对残缺麦克风阵列的交叉互谱矩阵的插值补偿，获得了声源定位算法。通过数值模拟对声源定位算法进行了验证，发现在波束形成的声源强度上，傅里叶插值模拟结果最大偏差达到5.21 dB,B样条插值为1.17 dB，三次样条插值为0.80 dB；在声源位置偏差上，傅里叶插值为0.04 m,B样条插值为0.01 m，三次样条插值为0.01 m。结果表明傅里叶插值计算得到的声源定位的强度、位置精度和动态性能最差，三次样条插值最优，B样条插值表现一般。实验验证也得出类似的结论，因此利用三次样条插值计算不完整麦克风阵列的交叉互谱矩阵最佳。

Influence of different interpolation methods on sound source localization of incomplete microphone array

The sound source localization algorithm using incomplete microphone arrays was studied, and the sound source localization algorithm was obtained through interpolation compensation of the cross spectral matrix of the incomplete microphone array by modified Fourier interpolation, B-spline interpolation and cubic spline interpolation. The sound source localization algorithm was verified by numerical simulation, and it was found that the maximum deviation of the Fourier interpolation simulation result was 5.21 dB, the B-spline interpolation was 1.17 dB, and the cubic spline interpolation was 0.80 dB on the beamforming sound source intensity; in the sound source position deviation, the Fourier interpolation value was 0.04 m, the B-spline interpolation value was 0.01 m, and the cubic spline interpolation value was 0.01 m. The results showed that the intensity, position accuracy and dynamic performance of the sound source localization calculated by Fourier interpolation were the worst, the cubic spline interpolation was the best, and the B-spline interpolation had the average performance. Experimental verification has also reached a similar conclusion, so it is best to use cubic spline interpolation to calculate the cross spectral matrix of an incomplete microphone array.