A Monte Carlo approach for capturing the uncertainty in sonar performance modelling

E. M. Bøhler, K. Hjelmervik, Petter Østenstad
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Abstract

Sonar performance modelling is an essential part of active sonar operations, as it is used both during planning of the operation as well as assessment of the expected coverage managed during the operation. Conventionally, the acoustic model has been input with a single realisation of the present environment in order to generate 2D coverage plots either as vertical cross sections in a selected direction from the sonar or as horizontal coverage plots encircling the sonar. The impact of envinronmental uncertainty on sonar performance is well known and documented. Errors in the input sound speed may give rise to large errors in the expected sonar performance. Monte Carlo methods are a well known method for capturing this uncertainty. This requires both a multitude of model runs and probability density functions representing the model input instead of single realisations. Here we propose using a fast raytrace model for estimating the sonar performance of a large number of different environmental and target realisations. The model results are then marginalized to collapse all but a few dimensions for efficient and concise presentation of the results for the sonar operator.
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在声纳性能建模中捕捉不确定性的蒙特卡罗方法
声纳性能建模是主动声纳操作的重要组成部分,因为它既用于操作计划,也用于操作期间管理的预期覆盖范围的评估。传统上,声学模型已经输入了当前环境的单一实现,以便生成2D覆盖图,或者作为声纳在选定方向上的垂直横截面,或者作为围绕声纳的水平覆盖图。环境不确定性对声纳性能的影响是众所周知的,并且有文献记载。输入声速的误差可能会导致预期声纳性能的较大误差。蒙特卡罗方法是捕获这种不确定性的一种众所周知的方法。这需要大量的模型运行和表示模型输入的概率密度函数,而不是单一的实现。在这里,我们建议使用快速射线追踪模型来估计大量不同环境和目标实现的声纳性能。然后将模型结果边缘化,使除几个维度外的所有维度都崩溃,以便为声纳操作员有效而简洁地呈现结果。
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