Discrete estimations of cross-correlation components of periodically correlated random signals

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
  • Zbigniew Zakrzewski University of Technology and Life Sciences, Bydgoszcz, Poland

DOI:

https://doi.org/10.3103/S0735272714020034

Keywords:

periodically correlated random signal, discrete estimation, cross-correlation component, variance, sampling step

Abstract

Properties of cross-correlation components estimations of two periodically correlated random signals are analyzed. The conditions of absence of the first and the second genus aliasing effects are obtained. The formulas for estimations variance which allow to select a valid sampling step in dependences on realization length and signal properties are derived. The results are concretized for amplitude modulated signals.

Author Biography

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

(2014) Karpenko Physico-Mechanical Institute of NASU

References

GARDNER, W.A.; FRANKS, L.E. Characterization of cyclostationary random processes. IEEE Trans. Inf. Theory, v.21, n.1, p.4-14, Jan. 1975. doi: http://dx.doi.org/10.1109/TIT.1975.1055338">http://dx.doi.org/10.1109/TIT.1975.1055338.

DRAGAN, Y.P.; ROZHKOV, V.A.; YAVORSKYJ, I.N. Methods of Probability Analysis of Oceanological Processes Rithmics. Leningrad: Gidrometeoizdat, 1987 [in Russian].

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

GARDNER, W.A.; NAPOLITANO, A.; PAURA, L. Cyclostationarity: Half century of research. Signal Processing, v.86, n.4, p.639-697, Apr. 2006. PII: S0165168405002409.

NAPOLITANO, A. Generalizations of Cyclostationary Signal Processing: Spectral Analysis and Applications. IEEE Press–John Wiley & Sons, 2012.

YAVORSKYJ, I.N.; YUZEFOVYCH, ROMAN; MATSKO, I.Y.; ZAKRZEWSKI, ZBIGNIEW. Coherent estimates of correlation characteristics of interconnected periodically correlated random processes. Izv. Vyssh. Uchebn. Zaved., Radioelektron., v.55, n.9, p.26-36, 2012 [in Russian]. Radioelectron. Commun. Syst., v.55, n.9, p.405-417, 2012. doi: http://dx.doi.org/10.3103/S0735272712090038.

JAVORS’KYJ, I.; ISAYEV, I.; ZAKRZEWSKI, Z.; BROOKS, S.P. Coherent covariance analysis of periodically correlated random processes. Signal Processing, v.87, n.1, p.13-32, 2007. PII: S0165168406001587.

JAVORSKYJ, I.; ISAYEV, I.; MAJEWSKI, J.; YUZEFOVYCH, R. Component covariance analysis for periodically correlated random processes. Signal Processing, v.90, n.4, p.1083-1102, Apr. 2010. PII: S0165168409003387.

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Published

2014-02-16

Issue

Vol. 57 No. 2 (2014)

Section

Research Articles