Skip to main content
SpringerLink
Log in

Mathematical Model of Bessel Beamformer with Automatic Gain Control for Smart Antenna Array System

  • Research Article - Electrical Engineering
  • Published:
Arabian Journal for Science and Engineering Aims and scope Submit manuscript

Abstract

The objective of this investigation is to analyze the mathematical model of Bessel beamformer with automatic gain control in a scenario of one desired user and two interferers operating with same carrier frequency but in different direction. Based on the simulation results, this modified Bessel beamformer provides optimum solution and can accommodate more users in real-time base stations of mobile communication system when implemented on smart antenna array system.

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. Phan K.T., Vorobyov S.A., Sidiropoulos N.D., Tellambura C.: Spectrum sharing in wireless networks via QoS-aware secondary multicast beamforming. IEEE Trans. Signal Process. 57(6), 2323–2335 (2009)

    Article  MathSciNet  Google Scholar 

  2. Godara L.C.: Applications of antenna arrays to mobile communications part I; performance improvement, feasibility, and system considerations. Proc. IEEE 85(7), 1031–1060 (1997)

    Article  Google Scholar 

  3. Godara L.C.: Applications of antenna arrays to mobile communications part II: beam-forming and directional of arrival considerations. Proc. IEEE 85(8), 1195–1245 (1997)

    Article  Google Scholar 

  4. Haardt, M.; Spencer, Q.: Smart antennas for wireless communications beyond the third generation. Elsevier Comput. Commun. 0975–8887, 41–45 (2003)

    Google Scholar 

  5. Shaukat, S.F.; ul Hassan, M.; Farooq, R.; Saeed, H.U.; Saleem, Z.: Sequetial studies of beamforming algorithms for smart antenna systems. World Appl. Sci. J. 6(5): ISSN 1818–4952, 754–758 (2009)

    Google Scholar 

  6. Alam M.M., Rajib M.M.I., Biswas S.K.: Design and performance analysis of smart antenna system for dect radio base station in wireless local loop. J. Commun. 5(8), 593–603 (2010)

    Article  Google Scholar 

  7. Zhang L., So H.C., Ping L., Liao G.: Adaptive multiple-beamformers for reception of coherent signals with known directions in the presence of uncorrelated interferences. Signal Process. 84, 1861–1873 (2004)

    Article  MATH  Google Scholar 

  8. Srar, J.A.; Chung, K-S.: Performance of RLMS algorithm in adaptive array beam forming. ICCS, pp. 493–498 (2008). doi:1-4244-2424-5/08©2008 IEEE

  9. Aboulnasr T., Mayyas K.: A robust variable step size LMS-type algorithm: analysis and simulations. IEEE Trans. Signal Process. 45(3), 631–639 (1997)

    Article  Google Scholar 

  10. Kwong R.H., Johnston E.W.: A variable step size LMS algorithm. IEEE Trans. Signal Process. 40, 1633–1642 (1992)

    Article  MATH  Google Scholar 

  11. Mathews V.J., Xie Z.: A stochastic gradient adaptive filter with gradient adaptive step size. IEEE Trans. Signal Process. 41, 2075–2087 (1993)

    Article  Google Scholar 

  12. Horowitz, L.L., Senne, K.D.: Performance advantage of complex LMS for controlling narrow-band adaptive arrays. IEEE Trans. Acoust. Speech. Signal Process. ASSP-29, 722–736 (1981)

    Google Scholar 

  13. Zahoor, R.M.A.; Qureshi, I.M.: A modified least mean square algorithm using fractional derivative and its application to system identification. Eur. J. Sci. Res. 35(1), 14–21 (2009). ISSN 1450–216X

    Google Scholar 

  14. Eldar Y.C., Nehorai A., La Rosa P.S.: A competitive mean-squared error approach to beamforming. IEEE Trans. Signal Process. 55, 5143–5154 (2007)

    Article  MathSciNet  Google Scholar 

  15. Hussain, A.; Saeed, M.O.; Malik, M.B.; Ajaz, M.A.; Salman, M.: Pseudo noise sequence coded continuous radar: a signal processing algorithm. Arab. J. Sci. Eng. 36, 1297–1312. (2011). doi:10.1007/s13369-011-0123-z

    Google Scholar 

  16. El Morra H.H., Sheikh A.U., Zerguine A.: Optimum multiuser detection in CDMA using particle swarm algorithm. Arab. J. Sci. Eng. 34(1B), 197–202 (2009)

    Google Scholar 

  17. Yasin M., Akhtar P., Khan M.J., Naqvi S.H.Z.: Proposed bessel beamformer is a better option for smart antenna system for capacity improvement. World Appl. Sci. J. 10(4), 433–439 (2010)

    Google Scholar 

  18. Schoenstadt, A.L.: An introduction to fourier analysis fourier series, partial differential equations and fourier transforms. Monterey, California 93943 (2006)

  19. Mathnium: A system for numerical computing, data analysis, and graphics. http://www.mathnium.com/help/doc.html

  20. Watson, G.N.: A treatise on the theory of bessel functions. Cambridge University Press (1995)

  21. Antenna arrays. Antenna-theory.com-Home. http://www.antenna-theory.com

  22. Balanis, C.A. : Antenna theory; analysis and design. McGraw-Hill Higher Education (2005)

  23. Abhayapala, T.D.: Generalized framework for spherical microphone arrays: spatial and frequency decomposition. ICASSP (c) IEEE, 5268–5271 (2008)

  24. Gopalan, K.: Speech coding using Fourier–Bessel expansion of speech signals. IECON’01, (c) IEEE, 2199–2203 (2001)

  25. Widrow, B.; Stearns, S.D.: Adaptive signal processing. Pearson Eduation, Inc. (1985)

  26. Haykin, S.: Adaptive filter theory. Fourth edition, Pearson Eduation, Inc. (2002)

  27. Nikolic, S.; Antic, D.; Dankovic, B.; Milojkovic, M.; Jovanovic, Z.; Peric, S.: Orthogonal functions applied in antenna positioning. Adv. Electr. Comput. Eng. 10(4), 1582–7445, 35–42 (2010)

    Google Scholar 

  28. Schirtzinger, T.; Li, X.; Jenkins, W.K.: A comparison of three algorithms for blind equalization based on the constant modulus error criterion. IEEE, 1049–1052 (1995). doi:0-7803-2431-5/95/ supported by NSF and JSEP

Download references

Author information

Authors and Affiliations

  1. Department of Electronics and Power Engineering, National University of Sciences and Technology, Islamabad, Pakistan

    M. Yasin & Pervez Akhtar

Authors
  1. M. Yasin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pervez Akhtar
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. Yasin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yasin, M., Akhtar, P. Mathematical Model of Bessel Beamformer with Automatic Gain Control for Smart Antenna Array System. Arab J Sci Eng 39, 4837–4844 (2014). https://doi.org/10.1007/s13369-014-1089-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13369-014-1089-4

Keywords

Search

Navigation