Wireless Personal Communications

, Volume 73, Issue 3, pp 555–562 | Cite as

Analysis of FRFT Based MMSE Receiver for MIMO Systems

  • Simranjit Singh
  • Rajesh Khanna
  • Manjeet Singh Patterh
Article

Abstract

In this paper, fractional Fourier transform based minimum mean squared error (MMSE) receiver is analyzed and compared with the time and frequency domain MMSE receivers in a multi-antenna environment. The distribution of SINR at the output of the receiver is used for calculating the bit error probability and the results are verified by comparison with the results obtained by Monte Carlo simulations.

Keywords

FRFT MIMO MMSE SINR 

References

  1. 1.
    Foschini, G., & Gans, M. J. (1998). On limits of wireless communications in a fading environment when using multiple antennas. Wireless Personal Communications, 6(3), 311–335.CrossRefGoogle Scholar
  2. 2.
    Palomar, D.P. (2005). Unified design of linear transceivers for MIMO channels, in smart antennas—State-of-the-Art. EURASIP Hindawi Book Series on SP &C, pp. 349–374.Google Scholar
  3. 3.
    Kutay, M. A., Ozaktas, H. M., Arikan, O., & Onural, L. (1997). Optimal filtering in fractional Fourier domains. IEEE Transactions on Signal Processing, 45(5), 1129–1143.CrossRefGoogle Scholar
  4. 4.
    Martone, M. (2001). A multicarrier system based on the fractional Fourier transform for time–frequency selective channels. IEEE Transactions on Communications, 49(6), 1011–1020.CrossRefMATHGoogle Scholar
  5. 5.
    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.CrossRefGoogle Scholar
  6. 6.
    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, 1(2), 547–559.MathSciNetCrossRefGoogle Scholar
  7. 7.
    Ozaktas, H. M., Zalevsky, Z., & Kutay, M. A. (2000). The fractional Fourier transform with applications in optics and signal processing. New York: Wiley.Google Scholar
  8. 8.
    Yetik, I. S., & Nehorai, A. (2003). Beamforming using fractional Fourier transform. IEEE Transactions on Signal Processing, 51(6), 1663–1668.MathSciNetCrossRefGoogle Scholar
  9. 9.
    Khanna, R., & Saxena, R. (2009). Improved fractional Fourier transform based receiver for spatially multiplexed MIMO antenna systems. Wireless Personal Communications, 50(4), 563–574.CrossRefGoogle Scholar
  10. 10.
    Khanna, R., & Saxena, R. (2010). A novel FRFT beamformer for Rayleigh faded channels. Wireless Personal Communications, 52(4), 693–707.CrossRefGoogle Scholar
  11. 11.
    Singh, S., Khanna, R., & Patterh, M. (2012). Optimum Combining in Fractional Domain. International Journal of Electronics. doi:10.1080/00207217.2012.680785.
  12. 12.
    Sofotasios, P. C., & Freear, S. (2010). Novel expressions for the marcum and one dimensional Q-functions. In 7th International symposium on wireless communication systems (ISWCS), UK.Google Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Simranjit Singh
    • 1
  • Rajesh Khanna
    • 2
  • Manjeet Singh Patterh
    • 1
  1. 1.Department of Electronics and CommunicationUniversity College of EngineeringPatialaIndia
  2. 2.Electronics and Communication Engineering DepartmentThapar UniversityPatialaIndia

Personalised recommendations