Skip to main content
SpringerLink
Log in

Optimal Estimation of Parameters of Pseudorandom Signals of Nonlinear Dynamic Systems

  • Radio Engineering and Communication
  • Published:
Russian Aeronautics Aims and scope Submit manuscript

Abstract

In the paper, an algorithm for optimal estimation of the parameters of pseudo-random signals of nonlinear dynamic systems is proposed in order to develop an optimal receiver for broadband systems. The basis of the algorithm being proposed is the maximum likelihood method as well as a presentation of nonlinear dynamic equation system as stochastic differential ones.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Dmitriev, A.S. and Panas, A.I., Dinamicheskii khaos: novye nositeli informatsii dlya sistem svyazi (Dynamic Chaos: New Information Media for Communication), Moscow, Fizmatlit, 2002.

    Google Scholar 

  2. Kuznetsov, V.M., Digital Stochastic Oscillators and Their Application, Evolyutsionnoe Modelirovanie: Trudy Seminara “Metody modelirovaniya” (Evolutionary Computation: Proc. Seminar “Modeling Methods”), Kazan: Fen, 2004, no. 2, pp. 230–248.

    Google Scholar 

  3. Afanas’ev, V.V., Loginov, S.S., and Pol’skii, Yu.A., Analiz i sintez nelineinykh radioelektronnykh dinamicheskikh system i ustroistv s var’iruemym shagom vremennoi setki (Analyses and Synthesis of Nonlinear Radioelectronic Dinamic Systems and Devices with the Varied Time Grid Interval), Kazan: Izd. Kazan. Gos. Tekhn. Univ., 2013.

    Google Scholar 

  4. Lorenz, E.N., Deterministic Nonperiodic Flow, Journal of the Atmospheric Sciences, 1963, vol. 20, no. 2, pp. 130–141.

    Article  MathSciNet  MATH  Google Scholar 

  5. Schuster, H.G., Deterministic Chaos: An Introduction, Wiley-VCH, 1995.

    MATH  Google Scholar 

  6. Anishchenko, V.S. and Vadivasova, T.E., Lektsii po nelineinoi dinamike (Lectures on Nonlinear Dynamics) Saratov: Izd. Saratovskogo Univ., 2010.

    Google Scholar 

  7. Tikhonov, V.I., Statistitcheskaya radiotekhika (Statistical Radio Engineering), Moscow: Sovetskoe Radio, 1966.

    Google Scholar 

  8. Amiantov, I.N., Izbrannye voprosy statistitcheskoi teorii svyazi (Selected Problems of the Statistical Theory of Communication), Moscow: Sovetskoe Radio, 1971.

    Google Scholar 

  9. Rytov, S.M., Kravtsov, Yu.A., and Tatarskii, V.I., Vvedenie v statistitcheskuyu radiofiziku. Tch. 2. Sluchainye polya (Introduction to Statistical Radio Physics. Part 2. Random Fields), Moscow: Nauka, 1978.

    Google Scholar 

  10. Tikhonov, V.I., Optimal’nyi priem signalov (Optimal Reception of Signals), Moscow: Radio i Svjaz’, 1983.

    Google Scholar 

  11. Nasyrov, I.K., and Pashin, D.S., Mnogokomponentnyi priem gidroakustitcheskikh signalov na fone pomekh (Multicomponent Reception of Hydroacoustic Signals in the Noise Conditions), Kazan: Izd. Kazan. Gos. Tekhn. Univ., 2001.

    Google Scholar 

  12. Kuznetsov, D.F., Chislennoe modelirovanie stokhasticheskikh differentsial’nykh uravnenii i stokhasticheskikh integralov (Numerical Modeling of Stochastic Differential Equations and Stochastic Integrals), St. Petersburg: Nauka, 1999.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kazan State Power Engineering University, ul. Krasnosel’skaya 51, Kazan, 420066, Russia

    I. K. Nasyrov & V. V. Andreev

Authors
  1. I. K. Nasyrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. V. Andreev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. K. Nasyrov.

Additional information

Original Russian Text © I.K. Nasyrov, V.V. Andreev, 2018, published in Izvestiya Vysshikh Uchebnykh Zavedenii, Aviatsionnaya Tekhnika, 2018, No. 4, pp. 162–165.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nasyrov, I.K., Andreev, V.V. Optimal Estimation of Parameters of Pseudorandom Signals of Nonlinear Dynamic Systems. Russ. Aeronaut. 61, 692–696 (2018). https://doi.org/10.3103/S106879981804030X

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S106879981804030X

Keywords

Search

Navigation