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Coherent estimates of correlation characteristics of interconnected periodically correlated random processes

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Abstract

Brief analysis of correlation and spectral characteristics that describe interconnections between two periodically correlated random processes is conducted. Properties of coherent estimates of signals’ mutual correlation function and estimates of mutual correlation components are studied. Expressions for biases and dispersions of estimates are specified for amplitude modulated signals.

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References

  1. W. A. Gardner and L. E. Franks, “Characterisation of cyclostationary random processes,” IEEE Trans. Inf. Theory IT-21, 4 (1975).

    Article  Google Scholar 

  2. W. A. Gardner (ed.), Cyclostationarity in Communication and Signal Processing (IEEE Press, New York, 1994).

    Google Scholar 

  3. W. A. Gardner, A. Napolitano, and L. Paural, “Cyclostationarity: Half century of research,” Signal Processing 86, 639 (2006).

    Article  MATH  Google Scholar 

  4. I. Javorskyj, I. Isayev, Z. Zakrzewski, S. P. Brooks, “Coherent covariance analysis of periodically correlated random processes,” Signal Processing 87, No. 1, 13 (2007).

    Article  Google Scholar 

  5. I. Javorskyj, I. Isayev, J. Majewski, R. Yuzefovych, “Component covariance analysis for periodically correlated random processes,” Signal Processing 90, 1083 (2010).

    Article  MATH  Google Scholar 

  6. I. N. Yavorskyj, R. M. Yuzefovych, I. B. Kravets, and Z. Zakrzewski, “Least Squares Method in the Statistic Analysis of Periodically Correlated Random Processes,” Izv. Vyssh. Uchebn. Zaved., Radioelektron. 54(1), 54 (2011) [Radioelectron. Commun. Syst. 54(1), 45 (2011)].

    Google Scholar 

  7. I. Javorskyj, J. Leskow, I. Kravets, I. Isayev, E. Gajecka, “Linear filtration methods for statistical analysis of periodically correlated random processes.—Part II: Harmonic series representation,” Signal Processing 91, 2506 (2011).

    Article  MATH  Google Scholar 

  8. I. Javorskyj, J. Leskow, I. Kravets, I. Isayev, E. Gajecka, “Linear filtration methods for statistical analysis of periodically correlated random processes.—Part I: Coherent and component methods and their generalization,” Signal Processing 92, 1559 (2012).

    Article  Google Scholar 

  9. I. Javorskyj and V. Mykhajlyshyn, “Probabilistic models and investigation of hidden periodicities,” Appl. Math. Lett. 9, No. 2, 21 (1996).

    Article  Google Scholar 

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Authors and Affiliations

  1. Karpenko Physico-Mechanical Institute of NASU, Lviv, Ukraine

    I. N. Yavorskyj, R. Yuzefovych & I. Y. Matsko

  2. Institute of Telecommunications of The University of Technology and Life Sciences (UTP), Bydgoszcz, Poland

    I. N. Yavorskyj & Z. Zakrzewski

Authors
  1. I. N. Yavorskyj
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  2. R. Yuzefovych
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  3. I. Y. Matsko
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  4. Z. Zakrzewski
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Additional information

Original Russian Text © I.N. Yavorskyj, R. Yuzefovych, I.Y. Matsko, Z. Zakrzewski, 2012, published in Izv. Vyssh. Uchebn. Zaved., Radioelektron., 2012, Vol. 55, No. 9, pp. 26–36.

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Yavorskyj, I.N., Yuzefovych, R., Matsko, I.Y. et al. Coherent estimates of correlation characteristics of interconnected periodically correlated random processes. Radioelectron.Commun.Syst. 55, 405–417 (2012). https://doi.org/10.3103/S0735272712090038

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  • DOI: https://doi.org/10.3103/S0735272712090038

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