Component correlation analysis of vectorial periodically non-stationary random processes

Authors

  • Ihor N. Yavorskyj Karpenko Physico-Mechanical Institute of NASU; University of Technology and Life Sciences, Ukraine https://orcid.org/0000-0002-6533-3186
  • Roman Yuzefovych Karpenko Physico-Mechanical Institute of NASU; Lviv Polytechnic National University, Ukraine https://orcid.org/0000-0001-5546-453X
  • Ivan Y. Matsko Karpenko Physico-Mechanical Institute of NASU, Ukraine
  • Volodymyr B. Shevchyk Karpenko Physico-Mechanical Institute of NASU, Ukraine

DOI:

https://doi.org/10.3103/S0735272714090039

Keywords:

vectorial periodically non-stationary random processes, tensor-function, estimation, variance, invariants

Abstract

Properties of linear and quadratic invariants of correlation tensor-function of vectorial periodically non-stationary random processes are considered. We analyze the properties of their estimations, given in the form of trigonometric polynomials, whose Fourier coefficients can be obtained using averaging on time of realization parts. Formula for estimations bias and variance, which allow to calculate systematic and mean square errors of processing in dependence on processing parameters and process parameters, are derived.

Author Biography

Roman Yuzefovych, Karpenko Physico-Mechanical Institute of NASU; Lviv Polytechnic National University

(2014) Karpenko Physico-Mechanical Institute of NASU

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Published

2014-09-10

Issue

Section

Research Articles