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Spectral coherence and hyperbolic solutions applied to time difference of arrival localisation

机译:光谱相干和双曲解应用于到达时间差

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Time difference of arrival (TDOA) source localisation is based on intersecting hyperboloids from spatially diverse sensor pairs. TDOA is commonly applied to avian source localisation with field studies finding that sources located inside array boundaries are localised with higher accuracy than sources outside the array. We examine the constitutive hyperbolic equations to demonstrate that at locations interior to an array, hyperbolas intersect at large angles translating into higher localisation accuracy with insensitivity to noise and timing errors, and then use the equations to assess expected accuracy in response to noise and timing errors. We also introduce the use of cross-spectral coherence as a requisite for computation of time delays by cross-correlation in order to minimize the likelihood of interference from noise and reduce the need for manual preprocessing of spectrograms or correlation functions. A small-aperture array is evaluated with a field test finding results consistent with analytical solutions suggesting that a lack of sensor spatial diversity coupled with signal timing accuracy is the primary source of localisation error, but that bearing discrimination remains accurate even for a small-aperture and sources external to the array. Published by Elsevier Ltd.
机译:到达时间差(TDOA)源定位基于来自空间上不同的传感器对的相交双曲面。 TDOA通常用于禽源定位,而现场研究发现与阵列外的源相比,位于阵列边界内的源的定位精度更高。我们检查了本构双曲方程,以证明在阵列内部的位置,双曲线以大角度相交,转化为对噪声和时序误差不敏感的更高的定位精度,然后使用这些方程式评估响应于噪声和时序误差的预期精度。我们还介绍了使用互谱相干作为通过互相关来计算时间延迟的必要条件,以最大程度地降低噪声干扰的可能性并减少对频谱图或相关函数进行人工预处理的需要。对小孔径阵列进行了现场测试,发现结果与分析解决方案一致,这表明缺乏传感器空间分集和信号定时精度是定位误差的主要来源,但即使对于小孔径,轴承的分辨力仍然保持准确以及阵列外部的来源。由Elsevier Ltd.发布

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