Elimination of Gaussian Correlated Measurement Noise with Bispectrum in Near-field Acoustic Holography

Xing-gan Zhang, Pengpeng Xia
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Abstract

In the implementation of near-field acoustic holography (NAH), the measured hologram data and reference signal are always contaminated by other noise sources, and NAH reconstruction accuracy is degraded. In the convention NAH, the complex holographic pressure is calculated by cross-spectrum based method, and uncorrelated noise can be suppressed. However, this method is not appropriate for the correlated noises. It's assumed that the measurement noise obeys Gaussian distribution, which can be eliminated effectively by high order statistics, a bispectrum based NAH method was presented in this paper to eliminate the correlated noises. The numerical simulation results show that the influence of Gaussian correlated noise can be suppressed effectively, and the reconstruction accuracy is improved.
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用双谱法消除近场声全息中的高斯相关测量噪声
在近场声全息(NAH)的实现中,被测全息数据和参考信号经常受到其他噪声源的污染,从而降低了近场声全息的重建精度。传统的全息压力计算方法采用基于交叉谱的方法,可以有效地抑制不相关噪声。然而,该方法不适用于相关噪声。假设测量噪声服从高斯分布,利用高阶统计量可以有效地消除测量噪声,本文提出了一种基于双谱的测量噪声消除方法。数值模拟结果表明,该方法能有效抑制高斯相关噪声的影响,提高重建精度。
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