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Synthesis of the Demodulation Algorithm for the Phase Modulated Signals in Presence of the Background Noise Using Complete Sufficient Statistics

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Internet of Things, Smart Spaces, and Next Generation Networks and Systems (NEW2AN 2018, ruSMART 2018)

Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 11118))

Abstract

A description is given of the algorithm for demodulating a linearly frequency-modulated signal against a background of white Gaussian noise with a constant component. The functions of complete sufficient statistics for estimating the phase and amplitude parameters of the signal, as well as the level of the constant component and the noise variance are found. The demodulation algorithm is implemented in the LabVIEW program environment. Computer modeling showed the asymptotic efficiency of the received estimates of the signal parameters.

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References

  1. Djurovic, I., Simeunovic, M., Djukanovic, S., et al.: A hybrid CPF-HAF estimation of polynomial-phase signals: detailed statistical analysis. IEEE Trans. Signal Process. 60, 5010–5023 (2012)

    Article  MathSciNet  Google Scholar 

  2. Barbarossa, S., Scaglione, A., Giannakis, G.B.: Product high-order ambiguity function for multicomponent polynomial-phase signal modeling. IEEE Trans. Signal Process. 46, 691–708 (1998)

    Article  Google Scholar 

  3. McKilliam, R.G., Quinn, B.G., Clarkson, I.V.L., et al.: Polynomial phase estimation by least squares phase unwrapping. IEEE Trans. Signal Process. 62, 1962–1975 (2014)

    Article  MathSciNet  Google Scholar 

  4. Ghogho, M., Nandi, A.K., Swami, A.: Cramér-Rao bound and maximum likelihood estimation for random amplitude phase modulated signals. IEEE Trans. Signal Process. 47, 2905–2916 (1999)

    Article  Google Scholar 

  5. Wang, P., Djurovíc, I., Yang, J.Y.: Generalized high-order phase function for parameter estimation of polynomial phase signal. IEEE Trans. Signal Process. 56, 3023–3028 (2008)

    Article  MathSciNet  Google Scholar 

  6. Theys, C., Ferrari, A., Vieira, M.: Marginal Bayesian analysis of polynomial-phase signals. Signal Process. 81, 69–82 (2001)

    Article  Google Scholar 

  7. Djurovíc, I., Stankovíc, L.: Quasi-maximum-likelihood estimator of polynomial phase signals. IET Signal Process. 8(4), 347–359 (2014)

    Article  Google Scholar 

  8. Deng, Z., et al.: Compound time-frequency domain method for estimating parameters of uniform-sampling polynomial-phase signals on the entire identifiable region. IET Signal Proc. 10(7), 743–751 (2016)

    Article  Google Scholar 

  9. Kay, S.M.: Fundamentals of Statistical Signal Processing: Estimation Theory. Prentice Hall, New Jersey, 595 p. (1993)

    Google Scholar 

  10. Lehmann, E.L., Casella, G.: Theory of Point Estimation, 2nd edn. Springer, New York (1998). Chapter 4

    MATH  Google Scholar 

  11. Van Trees, H.L.: Optimum Array Processing. Part IV, 1443p. Wiley, Hoboken (2002)

    Google Scholar 

  12. Brynolfsson, S.J., Jakobsson, A., Hansson-Sandsten, M.: Sparse semi-parametric estimation of harmonic chirp signals. IEEE Trans. Signal Process. 64(7), 1798–1807 (2016)

    Article  MathSciNet  Google Scholar 

  13. Vostretsov, A.G.: Efficient signal parameter estimation under the conditions of the a priori uncertainty using complete sufficient statistics. J. Communi. Technol. Electron. 44(5), 512–517 (1999)

    Google Scholar 

  14. Ivanov, S.I., Kyrnyshev, A.M., Lavrov, A.P.: Measuring radar cross-section of complex-shaped objects using the Doppler shift. In: International Siberian Conference on Control and Communications, SIBCON 2015-Proceedings, pp. 1–4. https://doi.org/10.1109/SIBCON.2015.7147075

  15. Ivanov, S.I., Liokumovich, L.B., Medvedev, A.V.: Estimation of the parameters of the phase modulated signal in presence of the background noise using complete sufficient statistics. In: 2017 XX IEEE International Conference on Soft Computing and Measurements (SCM), pp. 11–13 (2017). https://doi.org/10.1109/scm.2017.7970480

  16. Molodjakov, S.A., Ivanov, S.I., Lavrov, A.P.: Optoelectronic pulsars’ processor and its real-time software. In: 2017 IEEE II International Conference on Control in Technical Systems (CTS), pp. pp. 59–62 (2017). https://doi.org/10.1109/ctsys.2017.8109488

  17. Kudryashov, A.V., Liokumovich, L.B., Medvedev, A.V.: Digital demodulation methods for fiber interferometers. Opt. Mem. Neural Netw. (Inf. Opt.) 22(4), 236–243 (2013)

    Article  Google Scholar 

  18. Lehmann E.L., Scheffe H.: Completeness, similar regions, and unbiased estimation-Part I, Part II. In: Rojo J. (ed.) Selected Works of E. L. Lehmann. Selected Works in Probability and Statistics. Springer, Boston (2012). https://doi.org/10.1007/978-1-4614-1412-4_23

    Google Scholar 

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Acknowledgment

The work was done under financial support of Ministry of Education and Science of the Russian Federation in terms of FTP “Research and development on priority trends of Russian scientific-technological complex evolvement in 2014–2020 years” (agreement# 14.578.21.0211, agreement unique identifier RFMEFI57816X0211).

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Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, St-Petersburg, Russia

    Sergey I. Ivanov, Leonid B. Liokumovich & A. V. Medvedev

Authors
  1. Sergey I. Ivanov
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  2. Leonid B. Liokumovich
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  3. A. V. Medvedev
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Corresponding author

Correspondence to A. V. Medvedev .

Editor information

Editors and Affiliations

  1. Tampere University of Technology, Tampere, Finland

    Olga Galinina

  2. Tampere University of Technology, Tampere, Finland

    Sergey Andreev

  3. FRUCT Oy, Helsinki, Finland

    Sergey Balandin

  4. Tampere University of Technology, Tampere, Finland

    Yevgeni Koucheryavy

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Ivanov, S.I., Liokumovich, L.B., Medvedev, A.V. (2018). Synthesis of the Demodulation Algorithm for the Phase Modulated Signals in Presence of the Background Noise Using Complete Sufficient Statistics. In: Galinina, O., Andreev, S., Balandin, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. NEW2AN ruSMART 2018 2018. Lecture Notes in Computer Science(), vol 11118. Springer, Cham. https://doi.org/10.1007/978-3-030-01168-0_61

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  • DOI: https://doi.org/10.1007/978-3-030-01168-0_61

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-01167-3

  • Online ISBN: 978-3-030-01168-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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