Skip to main content
SpringerLink
Log in

Two-Stage Method for Joint Estimation of Information Symbols and Channel Frequency Response in OFDM Communication Systems

  • Published:
Radioelectronics and Communications Systems Aims and scope Submit manuscript

Abstract

The optimal and quasi-optimal algorithms of two-stage joint estimation of information symbols and frequency response (FR) of multibeam channels in OFDM-based communication systems have been synthesized. They involve the calculation of a posteriori probability density of estimated processes. At the first stage, the recurrent calculation of joint a posteriori distributions of information symbols and the frequency response is performed from two sides of the measurement vector. At the second stage, a posteriori distributions are combined on each of subcarriers that are obtained as a result of the first stage estimation. Based on the obtained a posteriori distributions, estimates of the information symbol and channel FR are determined by the criteria of a posteriori probability maximum and the average mean squared error minimum, respectively. The performance of synthesized algorithms similar to the well-known MMSE algorithm involves the need of knowledge of statistical properties of communication channel. The device implementing the optimal algorithm is multichannel, each channel of which is matched with the corresponding value of symbol from the modulation constellation. The quasi-optimal algorithm was obtained by using the Gaussian approximation of a posteriori probability density. It should be noted that this algorithm preserves its multichannel structure. The approbation of the presented algorithm was conducted using the computer-aided statistical simulation for different parameters of multibeam communication channels and the comparison of the obtained results with the results obtained by the MMSE and LS algorithms. The simulation results showed that the error probability decreases by about 2 times with a maximum signal propagation delay of 100 μs.

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

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.

Similar content being viewed by others

References

  1. M. Speth, S. A. Fechtel, G. Fock, H. Meyr, "Optimum receiver design for wireless broad-band systems using OFDM. I," IEEE Trans. Commun., v.47, n.11, p.1668 (1999). DOI: https://doi.org/10.1109/26.803501.

    Article  Google Scholar 

  2. M. Speth, S. Fechtel, G. Fock, H. Meyr, "Optimum receiver design for OFDM-based broadband transmission. II. A case study," IEEE Trans. Commun., v.49, n.4, p.571 (2001). DOI: https://doi.org/10.1109/26.917759.

    Article  Google Scholar 

  3. P. S. R. Diniz, Adaptive Filtering (Springer International Publishing, Cham, 2020). DOI: https://doi.org/10.1007/978-3-030-29057-3.

    Book  MATH  Google Scholar 

  4. A. Moussa, M. Pouliquen, M. Frikel, S. Bedoui, K. Abderrahim, M. M’saad, "An overview of blind equalization algorithms for digital communications," in 2019 19th International Conference on Sciences and Techniques of Automatic Control and Computer Engineering (STA) (IEEE, Washington, 2019). DOI: https://doi.org/10.1109/STA.2019.8717267.

    Chapter  Google Scholar 

  5. A. A. Shpylka, S. Y. Zhuk, "Joint interpolation of data and parameter filtration of a multibeam communications channel," Radioelectron. Commun. Syst., v.53, n.1, p.20 (2010). DOI: https://doi.org/10.3103/S0735272710010048.

    Article  Google Scholar 

  6. Z. Jiang, X. Shen, H. Wang, Z. Ding, "Joint PSK data detection and channel estimation under frequency selective sparse multipath channels," IEEE Trans. Commun., v.68, n.5, p.2726 (2020). DOI: https://doi.org/10.1109/TCOMM.2020.2975172.

    Article  Google Scholar 

  7. T.-D. Chiueh, P.-Y. Tsai, I.-W. Lai, Baseband Receiver Design for Wireless MIMO-OFDM Communications (John Wiley & Sons Singapore Pte. Ltd., Singapore, 2012). DOI: https://doi.org/10.1002/9781118188194.

    Book  Google Scholar 

  8. N. Suga, R. Sasaki, T. Furukawa, "Channel estimation using matrix factorization based interpolation for OFDM systems," in 2019 IEEE 90th Vehicular Technology Conference (VTC2019-Fall) (IEEE, Washington, 2019). DOI: https://doi.org/10.1109/VTCFall.2019.8891572.

    Chapter  Google Scholar 

  9. J.-J. van de Beek, O. Edfors, M. Sandell, S. K. Wilson, P. O. Borjesson, "On channel estimation in OFDM systems," in 1995 IEEE 45th Vehicular Technology Conference. Countdown to the Wireless Twenty-First Century (IEEE, Washington, 1995). DOI: https://doi.org/10.1109/VETEC.1995.504981.

    Chapter  Google Scholar 

  10. O. Edfors, M. Sandell, J.-J. van de Beek, S. K. Wilson, P. O. Borjesson, "OFDM channel estimation by singular value decomposition," IEEE Trans. Commun., v.46, n.7, p.931 (1998). DOI: https://doi.org/10.1109/26.701321.

    Article  Google Scholar 

  11. X. Dai, W. Zhang, J. Xu, J. E. Mitchell, Y. Yang, "Kalman interpolation filter for channel estimation of LTE downlink in high-mobility environments," EURASIP J. Wirel. Commun. Netw., v.2012, n.1, p.232 (2012). DOI: https://doi.org/10.1186/1687-1499-2012-232.

    Article  Google Scholar 

  12. S. V. Vishnevyy, S. Y. Zhuk, "Two-stage mutual causal filtration and segmentation of heterogeneous images," Radioelectron. Commun. Syst., v.54, n.1, p.37 (2011). DOI: https://doi.org/10.3103/S0735272711010067.

    Article  Google Scholar 

  13. A. Y. Myronchuk, O. O. Shpylka, S. Y. Zhuk, "Channel frequency response estimation method based on pilot’s filtration and extrapolation," Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, n.78, p.36 (2019). DOI: https://doi.org/10.20535/RADAP.2019.78.36-42.

    Article  Google Scholar 

  14. M. N. Sluzhivyi, "Recurrent adaptive algorithms of signals reception in fading channels," Vestn. UlGTU, n.4, p.24 (2009). URI: https://www.elibrary.ru/item.asp?id=20171746.

    Google Scholar 

  15. M. N. Sluzhivyi, Y. V. Kukanova, "Autoregressive models of fading in multibeam communication channel," Vestn. UlGTU, n.3, p.44 (2008). URI: https://www.elibrary.ru/item.asp?id=20186491.

    Google Scholar 

  16. W. Chen, R. Zhang, "Kalman-filter channel estimator for OFDM systems in time and frequency-selective fading environment," in 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing (IEEE, Washington, 2004). DOI: https://doi.org/10.1109/ICASSP.2004.1326842.

    Chapter  Google Scholar 

  17. V. I. Tikhonov, V. N. Kharisov, Statistical Analysis and Synthesis of Radio Devices and Systems (Radio i Svyaz’, Moscow, 2004).

    Google Scholar 

  18. T. V. Baringolts, D. V. Domin, S. Y. Zhuk, V. V. Tsisarzh, "Adaptive Algorithm of Maneuvering Target Tracking in Complex Jamming Situation for Multifunctional Radar with Phased Antenna Array," Radioelectron. Commun. Syst., v.62, n.7, p.342 (2019). DOI: https://doi.org/10.3103/S0735272719070021.

    Article  Google Scholar 

  19. A. P. Trifonov, Y. S. Shinakov, Joint Discrimination of Signals and Estimation of their Parameters against the Background of Interferences (Radio i Svyaz’, Moscow, 1986).

    Google Scholar 

  20. C. K. Chui, G. Chen, Kalman Filtering (Springer International Publishing, Cham, 2017). DOI: https://doi.org/10.1007/978-3-319-47612-4.

    Book  MATH  Google Scholar 

  21. L. M. Correia, Mobile Broadband Multimedia Networks (Academic Press, Cambridge, MA, 2006). URI: https://www.elsevier.com/books/mobile-broadband-multimedia-networks/correia/978-0-12-369422-5.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

    O. Yu. Myronchuk, A. A. Shpylka & S. Ya. Zhuk

Authors
  1. O. Yu. Myronchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. A. Shpylka
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. S. Ya. Zhuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Shpylka.

Ethics declarations

ADDITIONAL INFORMATION

O. Yu. Myronchuk, A. A. Shpylka, and S. Ya. Zhuk

The authors declare that they have no conflict of interest.

The initial version of this paper in Russian is published in the journal “Izvestiya Vysshikh Uchebnykh Zavedenii. Radioelektronika,” ISSN 2307-6011 (Online), ISSN 0021-3470 (Print) on the link http://radio.kpi.ua/article/view/S002134702008004X with DOI: https://doi.org/10.20535/S002134702008004X

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Myronchuk, O.Y., Shpylka, A.A. & Zhuk, S.Y. Two-Stage Method for Joint Estimation of Information Symbols and Channel Frequency Response in OFDM Communication Systems. Radioelectron.Commun.Syst. 63, 418–429 (2020). https://doi.org/10.3103/S073527272008004X

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S073527272008004X

Search

Navigation