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中文核心期刊

混响水池窄带声源声场统计特性与水听器采样优化方法

Statistical characteristics of the field of narrow-band sound source in the reverberation tank and the optimization of hydrophone sampling

  • 摘要: 混响法测量水下目标声辐射特性时, 其窄带测量准确度受声场空间不均匀性影响。针对此问题, 基于随机模态原理分析混响水池窄带声源声场的统计特性, 推导出在施罗德截止频率以上窄带声源声场的均方声压服从伽马分布, 空间平均均方声压服从高斯分布。通过大数定理和中心极限定理, 建立了空间平均声压级的置信区间与水听器空间采样数量的定量关系式。据此, 提出了水听器空间采样优化设计方法。水池实验验证了混响水池窄带声源声场的统计特性和定量关系式的有效性, 在9.0 m × 3.2 m × 1.8 m的混响水箱中, 针对施罗德截止频率以上的2~12 kHz频段, 采用90个水听器空间采样可使窄带空间平均声压级的95%置信限小于1.0 dB, 由声场空间不均匀性引起的空间平均声压级测量偏差小于0.5 dB。该研究结果可为混响法窄带测量的水听器空间采样提供理论支撑和优化设计依据。

     

    Abstract: When the reverberation method is used to assess the acoustic radiation properties of underwater targets, the accuracy of the narrowband measurement is affected by the spatial inhomogeneity in the sound field. This paper addresses this issue by applying the random modal principle to analyze the statistical characteristics of the sound field of a narrowband sound source in the reverberation tank. It is determined that the mean square sound pressure of the narrowband sound source field follows a gamma distribution, while the spatial average of the mean square sound pressure follows a Gaussian distribution above the Schroeder cutoff frequency. The deterministic relationship between the confidence interval of the space-averaged sound pressure level and the number of spatial samples is established using the law of large numbers and the central limit theorem. Furthermore, an optimization design for hydrophone spatial sampling is proposed based on this formula. The reverberation tank tests verified the statistical characteristics and quantitative relationship formula of the sound field of narrowband sound sources in the reverberation tank. The findings indicate that the 95% confidence interval of the space-averaged sound pressure level is below 1.0 dB. The measurement was obtained using 90 samples in a reverberation tank with dimensions of 9.0 m × 3.2 m × 1.8 m and the frequency band from 2 kHz to 12 kHz above the Schroeder cutoff frequency. The narrow-band sound field causes a space-averaged sound pressure level with a standard deviation of less than 0.5 dB. The research findings can provide theoretical support and optimization design basis for spatially sampling of hydrophones in narrowband measurement using the reverberation method.

     

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