Scattered signal distributions, parametric uncertainties, and Bayesian sequential updating

D. Wilson, Carl R. Hart, C. Pettit, D. Breton, E. Nykaza, V. Ostashev
{"title":"Scattered signal distributions, parametric uncertainties, and Bayesian sequential updating","authors":"D. Wilson, Carl R. Hart, C. Pettit, D. Breton, E. Nykaza, V. Ostashev","doi":"10.1121/2.0000672","DOIUrl":null,"url":null,"abstract":"A variety of probability density functions (pdfs) have been proposed for scattered signals, which have varying analytical advantages and ranges of physical applicability. We discuss here modeling with a compound pdf, in which a basic pdf, describing the underlying scattering process, has uncertain parameters or is modulated by variability in the environment. The parameters of the modulating pdf are termed hyperparameters. Some previous examples of compound formulations include the K-distribution, for which strong scattering (exponential pdf) is modulated by a gamma pdf for the mean signal power, and scattering by intermittent turbulence, for which strong scattering is modulated by a log-normal pdf for the structure-function parameter. We describe some alternative formulations, including strong scattering modulated by a gamma pdf for the inverse mean power, and Rytov (log-normal) scattering modulated by a normal pdf for the log-mean of the signal. These lead to relatively simple marginalized signal power d...","PeriodicalId":20469,"journal":{"name":"Proc. Meet. Acoust.","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2017-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proc. Meet. Acoust.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1121/2.0000672","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8

Abstract

A variety of probability density functions (pdfs) have been proposed for scattered signals, which have varying analytical advantages and ranges of physical applicability. We discuss here modeling with a compound pdf, in which a basic pdf, describing the underlying scattering process, has uncertain parameters or is modulated by variability in the environment. The parameters of the modulating pdf are termed hyperparameters. Some previous examples of compound formulations include the K-distribution, for which strong scattering (exponential pdf) is modulated by a gamma pdf for the mean signal power, and scattering by intermittent turbulence, for which strong scattering is modulated by a log-normal pdf for the structure-function parameter. We describe some alternative formulations, including strong scattering modulated by a gamma pdf for the inverse mean power, and Rytov (log-normal) scattering modulated by a normal pdf for the log-mean of the signal. These lead to relatively simple marginalized signal power d...
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
散射信号分布,参数不确定性,和贝叶斯顺序更新
对于散射信号,人们提出了各种概率密度函数,它们具有不同的分析优势和物理适用范围。我们在这里讨论用复合pdf建模,其中描述潜在散射过程的基本pdf具有不确定的参数或被环境的可变性调制。调制pdf的参数称为超参数。以前的一些复合公式的例子包括k分布,其中强散射(指数pdf)由平均信号功率的伽玛pdf调制,以及间歇性湍流的散射,其中强散射由结构-功能参数的对数正态pdf调制。我们描述了一些可供选择的公式,包括由gamma pdf调制的强散射,用于逆平均功率,以及由正态pdf调制的Rytov(对数正态)散射,用于信号的对数均值。这些导致相对简单的边缘信号功率d。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
自引率
0.00%
发文量
0
期刊最新文献
Different origins of acoustic streaming at resonance Clinical studies of biceps anisotropy, relaxation and nonlinearity with a medical device for ultrasonic imaging Prospective medical applications of Nonlinear Time Reversal Acoustics Nonlinear relaxation in geomaterials: New results Numerical investigation of self-focused Lamb waves in anisotropic media
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1