Nothing Special   »   [go: up one dir, main page]
Skip to main content
Springer Nature Link
Log in

A Novel FRFT Beamformer for Rayleigh Faded Channels

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

A method of optimal beamforming for flat Rayleigh faded channels using the Fractional Fourier Transform (FRFT) is considered in this paper. It has been demonstrated through simulations that optimal beamforming with FRFT allows smaller mean-square errors in restoring signals degraded with linear time-or frequency variant distortions and Additive White Gaussian Noise. This is made possible by the additional flexibility that comes with free parameter ‘a’ of the fractional Fourier transform as oppose to the classical Fourier transform (FT). The method is especially useful in moving source problems, where Doppler Effect produces frequency shift when the source is moving, as in mobile and wireless communication where user produces the frequency shift while moving. In this paper it is shown through simulations that beamforming in fractional domain reduces BER as compared to time or frequency domain.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. Wireless World Research Forum (WWRF). (2001). The book of visions 2001—visions of the wireless world, version 1.0, December 2001. Available at: http://www.wirelessworld-research.org.

  2. Khana R., Saxena R., Singh K. (2005) Optimal beamforming for Rayleigh faded time-frequency varying channels using fraction fourier transform. Journal of the Indian Institute of Science 85: 27–38

    Google Scholar 

  3. Van Veen B.D., Buckley K.M. (1998) Beam forming: A versatile approach to spatial filtering. IEEE Acoustics, Speech, Signal Processing Magazine 5: 4–24

    Google Scholar 

  4. Haykins S. (2002) Adaptive filter theory. Pearson Education, Singapore

    Google Scholar 

  5. Massimiliano (Max) Martone. (2001). A multicarrier system based on the fractional fourier transform for time–frequency-selective channels. IEEE Transactions on Communications, 49(6), 1011–1020.

    Google Scholar 

  6. Yetik I.S., Nehorai A. (2003) Beamforming using fractional fourier transform. IEEE Transactions on Signal Processing 51(6): 1663–1668

    Article  MathSciNet  Google Scholar 

  7. Ozaktas H.M., Kutay M.A., Zalevsky Z. (2000) The fractional fourier transform with applications in optics and signal processing. Wiley, New York

    Google Scholar 

  8. Pellat-Finet P., Bonnet G. (1994) Fractional order fourier transform and fourier optics. Optics Communications 111: 141–154

    Article  Google Scholar 

  9. Bernado L.M., Soares O.D.D. (1994) Fractional fourier transforms and optical systems. Optics Communications 110: 517–522

    Article  Google Scholar 

  10. Almedia L.B. (1994) The fractional fourier transform and time–frequency representations. IEEE Transactions on Signal Processing 42: 3084–3091

    Article  Google Scholar 

  11. Lohmann A.W. (1993) Image rotation, wigner rotation and the fractional fourier transform. Journal of Optical Society of America-A 10(10): 2181–2186

    Article  Google Scholar 

  12. Ozaktas H.M., Arikan O., Kutay M.A., Bozdagi G. (1996) Digital computation of the fractional fourier transforms. IEEE Transactions on Signal Processing 44(9): 2141–2150

    Article  Google Scholar 

  13. Ozaktas H.M., Barshan B., Mendlovic D., Onural L. (1994) Convolution, filtering and multiplexing in fractional domains and their relation to chirp and wavelet transforms. Journal of Optical Society of America-A 11(2): 547–559

    Article  MathSciNet  Google Scholar 

  14. Yetik, I. S., Kutay, M. A., Ozaktas, H., & Ozaktas, H. M. (2000). Continuous and Discrete Fractional Fourier Domain Decomposition. In Proceedings IEEE International Conference Acoustics Speech Signal Processing (pp. 96–96).

  15. Proakis J.G. (2001) Digital communications. McGraw Hill, New York

    Google Scholar 

  16. Mendlovic D., Ozaktas H.M., Lohmann A.W. (1995) Fractional correlation. Applied Optics 34: 303–309

    Article  Google Scholar 

  17. Kutay M.A., Ozaktas H.M., Arikan O., Onural L. (1997) Optimal filtering in fractional fourier domains. IEEE Transactions on Signal Processing 45: 1129–1143

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Electronics and Communication Engineering, Thapar Institute of Engineering and Technology, Patiala, India

    Rajesh Khanna

  2. Department of Electronics and Communication, Jaypee Institute of Engineering and Technology (JIET), Guna, India

    Rajiv Saxena

Authors
  1. Rajesh Khanna
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rajiv Saxena
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rajesh Khanna.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khanna, R., Saxena, R. A Novel FRFT Beamformer for Rayleigh Faded Channels. Wireless Pers Commun 52, 693–707 (2010). https://doi.org/10.1007/s11277-008-9656-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-008-9656-1

Keywords

Search

Navigation