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Examples of Using Models and Measures on the Circle

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Book cover Models and Measures in Measurements and Monitoring

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

Abstract

Examples of using the developed models and measures on the circle for the study of cyclic signals in various subject areas are given. The object of study is the phase shift between cyclic signals. The limiting case of cyclic signals are periodic signals, in particular harmonious signals. The solutions to the problems of precision ultrasonic echo-pulse thickness measurement of products from materials with significant attenuation are considered. A high probability of detecting information signals against additive noise is achieved through the use of selective circular statistics - the resulting vector length. These statistics are determined during processing phase measurement data in a sliding mode. A method for processing the results of multi-scale phase measurements based on numerical systems of residual classes in phase range finders and direction finders is considered. The method is different in that it allows to control the correctness of eliminating the ambiguity of phase measurements. The features of statistical data processing in environmental monitoring systems based on unmanned aerial systems during the flight of objects of increased environmental hazard are analyzed. The given examples testify to the powerful methodological potential of using the developed models and circle measures for use in precision phase measuring systems.

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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). Examples of Using Models and Measures on the Circle. 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_5

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