Discretization of stochastic processes in time domain by sinc basis functions and application in TELM analysis

机译：基于sinc基函数的时域随机过程离散化及其在TELM分析中的应用

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This paper investigates methods for discrete representation of band-limited stochastic processes. The approach employs a unified framework for such representations by use of concepts of Hilbert space and general decomposition of a signal into basis functions. The proposed representation, in general, allows reducing the number of random variables used in the simulation of stochastic processes. Direct application of the representation is employed for Tail-Equivalent Linearization Method (TELM) analysis. An example of a single degree of freedom hysteretic oscillator subjected to a Gaussian band-limited white noise simulated by use of sinc basis functions is presented. The accuracy and efficiency of the representation are compared with those of current discretization methods.

机译：本文研究了带限随机过程的离散表示方法。该方法通过使用希尔伯特空间的概念以及将信号一般分解为基本函数，为此类表示采用统一框架。所提出的表示通常允许减少随机过程的仿真中使用的随机变量的数量。表示的直接应用被用于尾等效线性化方法（TELM）分析。给出了一个单自由度磁滞振荡器的示例，该振荡器经受了使用辛克基函数模拟的高斯带限白噪声。将表示的准确性和效率与当前离散化方法的准确性和效率进行了比较。

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《Reliability and optimization of structural systems》|2012年|253-260|共8页
会议地点 Yerevan(AM)
作者
M. Broccardo; A. Der Kiureghian;
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University of California Berkeley, USA;

University of California Berkeley, USA;

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正文语种 eng
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2. Discrete-space partial dynamic equations on time scales and applications to stochastic processes [J] . Michal Friesl, Antonín Slavík, Petr Stehlík Applied mathematics letters . 2014,第Null期

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3. Radial basis function-enhanced domain-free discretization method and its applications [J] . Wu YL, Shu C, Chen HQ, Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology . 2004,第3期

机译：径向基函数增强的无域离散化方法及其应用
4. Discretization of stochastic processes in time domain by sinc basis functions and application in TELM analysis [C] . M. Broccardo, A. Der Kiureghian Working conference of the International Federation of Information Processing Working Group 7.5 on reliability and optimization of structural systems . 2012

机译：SIG基础函数及其在Telom分析中的时域随机过程的离散化
5. Discrete-state, continuous-time stochastic processes, with applications to HPV. [D] . Kang, Minhee. 2003

机译：离散状态，连续时间随机过程，以及对HPV的应用。
6. Entropy Measures for Stochastic Processes with Applications in Functional Anomaly Detection [O] . Gabriel Martos, Nicolás Hernández, Alberto Muñoz, 2018

机译：具有功能异常检测中的随机过程的熵措施
7. DIGITAL CONTROL SYSTEMS IMPLEMENTATION TECHNIQUES, VOLUME 70 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 390 pp., ISBN 0-12-0127702, $99.00 DISCRETE-TIME CONTROL SYSTEM ANALYSIS AND DESIGN, VOLUME 71 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 410 pp., ISBN 0-12-0127715, $99.00 DISCRETE-TIME CONTROL SYSTEM IMPLEMENTATION TECHNIQUES, VOLUME 72 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 388 pp., ISBN 0-12-0127725, $99.00 TECHNIQUES IN DISCRETE-TIME STOCHASTIC CONTROL SYSTEMS, VOLUME 73 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 380 pp., ISBN 0-12-0127734, $99.00 TECHNIQUES IN DISCRETE AND CONTINUOUS ROBUST SYSTEMS, VOLUME 74 OF CONTROL AND DYNAMIC SYSTEMS: ADVANCES IN THEORY AND APPLICATIONS, C. Leondes (ed), Academic Press, San Diego, 1995, 412 pp., ISBN 0-12-0127741, $99.00 [O] . D. SUBBARAM NAIDU 1997

机译：数字控制系统的实施技术，控制和动态系统的第70卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,390 PP，ISBN 0-12-0127702，99.00美元离散时间控制系统分析和设计，控制和动态系统的第71卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,410 PP，ISBN 0-12-0127715，99.00美元离散时间控制系统实现技术，控制和动态系统的第72卷：理论和应用的进步，C.丝丝（ED），学术出版社，圣地亚哥，1995,388 pp，ISBN 0-12-0127725，99.00美元的离散 - 时间随机控制系统，控制和动态系统的VOLUME 73：前进，理论与应用，C Leondes（ED），学术出版社，圣地亚哥，1995年，380页，ISBN 0-12-0127734，在离散和$ 99.00技术。连续稳健的系统，控制和动态系统的第74卷：理论和应用的进步，C. leondes（ed），学术出版社，圣地亚哥，1995,412 pp。，ISBN 0-12-0127741，99.00美元

Discretization of stochastic processes in time domain by sinc basis functions and application in TELM analysis

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