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嵌入随机多项式的抛物方程不确定声场快速算法 被引量:1

Fast algorithm for stochastic sound filed based on parabolic equation model embedded with polynomial chaos
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摘要 为了得到准确且高效计算起伏海洋介质中随机声场的算法,本文将随机多项式展开嵌入到宽角抛物方程声场计算模型(简称RAM模型)中,发展了一种不确定声场的快速算法。其计算结果比使用嵌入随机多项式的窄角抛物方程准确,计算时间小于作为参考的蒙特卡洛方法。在仿真算例中,随机多项式展开法对声强均值、方差、概率密度的计算准确;在一定的随机变量维度和随机多项式展开截断幂次内,其计算效率比蒙特卡洛方法至少提高一个数量级。 In order to obtain an accurate and efficient algorithm for calculating statistical characteristics of the stochastic sound field in a random ocean media,we applied the polynomial chaos expansion into the wide-angle split-step parabolic equation model(RAM model)and developed a polynomial intrusive acoustic calculation algorithm.Thus,the calculation results of this algorithm are more accurate than these of narrow-angle parabolic equations embedded with polynomial chaos.And time cost is substantially reduced compared to the benchmark Monte Carlo method.In the simulation cases,the same accuracy with the Monte Carlo method as for calculating the first and second moments of sound intensity is available.While under the same computing conditions,the polynomial chaos expansion method will improve the calculation efficiency by at least 1 order of magnitude when the polynomials have limited arguments and maximal truncated powers.
作者 王翰卓 李风华 WANG Hanzhuo;LI Fenghua(State Key Laboratory of Acoustics,Institute of Acoustics,Chinese Academy of Sciences,Beijing 100190;University of Chinese Academy of Sciences,Beijing 100049)
出处 《声学学报》 EI CAS CSCD 北大核心 2022年第2期210-219,共10页 Acta Acustica
基金 中国科学院联合基金项目(6141A01051601) 国家自然科学基金项目(11674349)资助。
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  • 1乔方利,马建,夏长水,杨永增,袁业立.波浪和潮流混合对黄海、东海夏季温度垂直结构的影响研究[J].自然科学进展,2004,14(12):1434-1441. 被引量:22
  • 2聂铁军.数值计算方法[M].西北工业大学出版社,1989..
  • 3刘钦圣.最小二乘问题计算方法[M].北京工业大学出版社,1984..
  • 4KAY S M.Fundamentals of statistical signal processing:estimation theory[M].New York:Prentice Hall,1993:309-332,379-391.
  • 5SCHARF L L.Statistical signal processing:detection,estimation,and time series analysis[M].Englewood Cliffs:Addison-Wesley,1991:179-205,277-307.
  • 6FINETTE S.A stochastic response surface formulation of acoustic propagation through an uncertain ocean waveguide environment[J].JASA,2009,126(5):2567-2579.
  • 7BAGGEROER A B,DALY P M.Stochastic matched field array processing for detection and nulling in uncertain ocean environments[C] // Signals,Systems and Computer,2000,Conference record of the thirty-fourth Asilormar Conference.[S.l.] 2000:662-667.
  • 8BELL K L,EPHRAIM Y,Van TREE H L.A Bayesian approach to robust adaptive beamforming[J].IEEE Trans on Signal Processing,2000,48(2):386-398.
  • 9CULVER R L,CAMIN H J.Sonar signal processing using probabilistic signal and ocean environmental models[J].JASA,2008,124(6):3619-3631.
  • 10KAILATH T,POOR H V.Detection of stochastic processes[J].IEEE Trans on Information Theory,1998,44(6):2230-2259.

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