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Models and Measures in Measurements and Monitoring pp 33–59Cite as

Models of Measuring Signals and Fields

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Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 360))

Abstract

The methodological aspects of the analysis of multidimensional signals and fields are highlighted. Mathematical models of measuring signals and fields are systematized, the main spatio-temporal models of quasi-determined signals are considered—continuous and discrete, complex-valued, periodic. Some facts of the theory of orthogonal signals and orthogonal bases are considered, the possibilities of their use for measurements are analyzed. Signal models that are described by random processes are considered. The definitions of a random process stationary in the broad and narrow sense of random processes, a linear random process, a harmonized random process, a periodically correlated random process are given. Models of multidimensional signals and spatio-temporal random fields are considered. Characteristics of signals and spatio-temporal random fields are given taking into account their structure for research by means of measuring equipment. It is concluded that the creation of hardware and information support for measurements and monitoring requires the coordination of physical and probabilistic measures to assess the characteristics of multidimensional signals and fields in accordance with the requirements of the concept of measurement uncertainty.

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Authors and Affiliations

  1. Institute of Engineering Thermophysics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Vitaliy P. Babak & Artur O. Zaporozhets

  2. Verkhovna Rada of Ukraine, Kyiv, Ukraine

    Serhii V. Babak

  3. Igor Sikorsky Kyiv Polytechnic Institute, National Technical University of Ukraine, Kyiv, Ukraine

    Volodymyr S. Eremenko & Yurii V. Kuts

  4. Institute of Electrodynamics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Mykhailo V. Myslovych

  5. Kyiv International University, Kyiv, Ukraine

    Leonid M. Scherbak

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  1. Vitaliy P. Babak
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Babak, V.P. et al. (2021). Models of Measuring Signals and Fields. In: Models and Measures in Measurements and Monitoring. Studies in Systems, Decision and Control, vol 360. Springer, Cham. https://doi.org/10.1007/978-3-030-70783-5_2

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