书目名称 | Noise signals | 副标题 | Modelling and Analys | 编辑 | Vitalii Babak,Artur Zaporozhets,Leonid Scherbak | 视频video | | 概述 | Illustrates the identification of stochastic noise signals.Helps identifying the vibration noise signals from electric power facilities for assessing their actual condition.Focuses on stochastic model | 丛书名称 | Studies in Systems, Decision and Control | 图书封面 |  | 描述 | .The book meticulously details a constructive mathematical model of a stochastic noise process, specifically a linear random process and its characteristics. Theoretical reasoning on the relationship between random processes with independent increments and those with independent values, known as random processes of white noise, is provided. The model of a linear random process serves as a mathematical representation of colored noises in various hues. Characteristics of both non-stationary and stationary linear random processes are elucidated, with emphasis on their ergodic properties, crucial for practical applications. The study also encompasses the vector linear random process, portraying a model of multi-channel noise signals. A novel contribution to the theory of random functions is the development of a constructive model of a conditional linear random process. This involves determining its distribution laws in the form of a characteristic function and relevant statistical characteristics, which can serve as potential indicators for identifying stochastic noise processes. The book revisits research on periodic stochastic models, examining cyclic, rhythmic, natural, and artifici | 出版日期 | Book 2025 | 关键词 | Noise signals; Electric Power Facilities; Stochastic Noise signals; Ultrasonic flaw detection systems; A | 版次 | 1 | doi | https://doi.org/10.1007/978-3-031-71093-3 | isbn_softcover | 978-3-031-71095-7 | isbn_ebook | 978-3-031-71093-3Series ISSN 2198-4182 Series E-ISSN 2198-4190 | issn_series | 2198-4182 | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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