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Stochastic Wave Distribution Function Method
Radio Science ( IF 1.6 ) Pub Date : 2021-07-19 , DOI: 10.1029/2021rs007265
Mamoru Ota 1 , Yoshiya Kasahara 1
Affiliation  

The characteristics of plasma waves propagating in the Earth's plasmasphere and magnetosphere are important in terms of understanding the plasma environment in which these waves are excited and propagate. The propagation direction is a critical in propagation analysis of ELF/VLF band waves. The Means, eigenvector, amplitude, and SVD methods have been proposed previously to estimate the direction of arrival of a single wave, and the wave distribution function (WDF) method, which solves the ill-posed problem, has been proposed to estimate the propagation direction of multiple arriving waves. In this paper, we propose a stochastically extended WDF method. Conventional WDF methods are based on maximum posterior probability estimation; however, the proposed method uses a Markov chain Monte Carlo method. In the proposed method, the estimated solution is obtained based on the sampling approximation by obtaining multiple samples following the posterior distribution. In addition, the WDF is discretized and quantized to improve calculation stability and efficiency. From the sampled WDF, the mean value of the WDF and 95% credible interval can be calculated without arbitrary parameters. The proposed method is more objective than conventional methods and can be used effectively as a basis for performance evaluation of the WDF method.

中文翻译:

随机波分布函数法

在地球等离子体层和磁层中传播的等离子体波的特性对于理解这些波被激发和传播的等离子体环境很重要。传播方向是 ELF/VLF 波段波传播分析的关键。之前已经提出了均值、特征向量、幅度和 SVD 方法来估计单个波的到达方向,并且已经提出了解决不适定问题的波分布函数 (WDF) 方法来估计传播多个到达波的方向。在本文中,我们提出了一种随机扩展的 WDF 方法。传统的 WDF 方法基于最大后验概率估计;然而,所提出的方法使用马尔可夫链蒙特卡罗方法。在提出的方法中,估计解是基于采样近似通过获得多个遵循后验分布的样本来获得的。此外,WDF 被离散化和量化,以提高计算稳定性和效率。从采样的 WDF 中,无需任意参数即可计算 WDF 的平均值和 95% 可信区间。所提出的方法比传统方法更客观,可以有效地作为WDF方法性能评估的基础。
更新日期:2021-08-07
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