Zingarelli R A
J Acoust Soc Am. 2008 Oct;124(4):EL218-22. doi: 10.1121/1.2968301.
The equivalence of range and frequency averaging of acoustic propagation model results, based on the similarity of their analytic forms in mode calculations, was shown by Harrison [J. Acoust. Soc. Am. 97, 1314-1317 (1995)]. Here it is shown how oceanographic measurement errors and receiver bandwidth can be mapped into uncertainty in the number of modes being propagated. This can be mapped into range boundaries for averaging calculations, thereby giving upper and lower confidence boundaries for frequency-averaged transmission loss calculations. Examples of the application of this technique to synthetic data, where the measurement uncertainties are known and deliberately included, are shown.
哈里森[《美国声学学会杂志》97, 1314 - 1317 (1995)]表明，基于声学传播模型结果在模式计算中解析形式的相似性，距离平均和频率平均是等效的。本文展示了海洋学测量误差和接收器带宽如何映射到传播模式数量的不确定性中。这可以映射到平均计算的距离边界，从而给出频率平均传输损耗计算的上下置信边界。文中给出了该技术应用于合成数据的示例，其中测量不确定性是已知的且是特意包含在内的。
