Noise signals

Noise signals

EnglishEbook
Babak, Vitalii
Springer Nature Switzerland
EAN: 9783031710933
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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 artificial phenomena, processes, and signals. A comprehensive analysis of the linear periodic random process is conducted, and the identification characteristics of periodic models of stochastic noise signals are explored. Significant attention is directed toward employing contour and phase methods as a theoretical foundation for addressing narrow-band noise signal identification challenges.
EAN 9783031710933
ISBN 3031710932
Binding Ebook
Publisher Springer Nature Switzerland
Publication date October 2, 2024
Language English
Authors Babak, Vitalii; Fryz, Mykhailo; Kuts, Yurii; Scherbak, Leonid; Zaporozhets, Artur
Series Studies in Systems, Decision and Control
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