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Source distance determination based on the spherical harmonics

机译：基于球谐函数的光源距离确定

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This paper deals with the processing of signals measured by a spherical microphone array, focusing on the utilization of near-field information of such an array. The processing, based on the spherical harmonics decomposition, is performed in order to investigate the radial-dependent spherical functions and extract their argument - distance to the source. Using the low-frequency approximation of these functions, the source distance is explicitly expressed. The source distance is also determined from the original equation (using no approximation) by comparing both sides of this equation. The applicability of both methods is first presented in the noise-less data simulation, then validated with data contaminated by the additive white noise of different signal-to-noise ratios. Finally, both methods are tested for real data measured by a rigid spherical microphone array of radius 0.15 m, consisting of 36 microphones for a point source represented by a small speaker. The possibility of determination of the source distance using low-order spherical harmonics is shown.
机译：本文研究球形麦克风阵列测量的信号处理，着重于利用此类阵列的近场信息。进行基于球谐分解的处理，以便研究径向相关的球函数并提取其自变量-到源的距离。使用这些函数的低频近似，可以明确表示源距离。通过比较该方程式的两边，也可以从原始方程式（不使用近似值）确定源距离。两种方法的适用性首先在无噪声数据模拟中提出，然后用不同信噪比的加性白噪声污染的数据进行验证。最后，对这两种方法的真实数据进行了测试，这些数据是由半径为0.15 m的刚性球形麦克风阵列（由36个麦克风组成的，用于点声源，由小扬声器表示）测量的。显示了使用低阶球形谐波确定源距离的可能性。

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