Skip to main content
SpringerLink
Log in

Performance Evaluation of SFBC MIMO–OFDM Using FrFT Under TWDP Fading Channel

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Multiple-input–multiple-output orthogonal frequency division multiplexing (MIMO–OFDM) is a promising 4G technology to increase data rate and capacity of a system. Further, the space–frequency-block-coding (SFBC) technique in MIMO–OFDM system has increased reliability of system in high mobility channels. Fourier transform in conventional OFDM system can obtain either in time or frequency domain, hence it can be acceptable to reduce inter-carrier-interference while it fails for doubly dispersive channels where both the domain are changing simultaneously. Another mathematical tool named as fractional Fourier transform (FrFT) cancels the effect of rapidly varying time–frequency-distortions by considering new rotating axis \(\left( {u,v} \right)\) at an angle \(\alpha\) from conventional time–frequency plane. In this paper, the performance of SFBC encoded MIMO OFDM system using FrFT in place of FFT has been analyzed under two-wave-diffused-power (TWDP) frequency selective fading channel. In this paper, the novel closed form expression for average bit-error-rate (BER) for coded and un-coded FrFT based MIMO–OFDM system under TWDP has also been presented in this paper. The results carried out using simulation shows that the proposed model achieves BER of 10−2 at 5 dB SNR whereas conventional achieves the same at 14 dB hence, concluded that the novel system performance improved by nearly 9 dB.

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

Similar content being viewed by others

References

  1. Bauch G. (2003). Space–time block codes versus space–frequency block codes. In IEEE (pp. 567–571).

  2. Gupta, B., & Saini, D. S. (2013). Space–time/space–frequency/space–time–frequency block coded MIMO–OFDM system with equalizers in quasi static mobile radio channels using higher tap order. Wireless Personal Communications, 69(4), 1947–1968.

    Article  Google Scholar 

  3. Almeida, L. B. (1994). The fractional Fourier transform and time-frequency representations. IEEE Transaction of Signal Processing, 42(11), 3084–3091.

    Article  Google Scholar 

  4. Kumari, S. (2013). Exact BER analysis of FRFT-OFDM system over frequency selective Rayleigh fading channel with CFO. Electronics Letters, 49(20), 1299–1301.

    Article  Google Scholar 

  5. Chen, E., Tao, R., & Meng, X. (2006). The OFDM system based on the fractional Fourier transform. In Innovative computing, information and control, ICICIC’06, first international conference on IEEE (vol. 3, pp. 14–17.

  6. Wang, H., & Ma, H. (2010). MIMO OFDM systems based on the optimal fractional Fourier transform. Wireless Personal Communications, 55(2), 265–272.

    Article  Google Scholar 

  7. Torabi, M., Aissa, S., & Soleymani, M. R. (2007). On the BER performance of space–frequency block coded OFDM systems in fading MIMO channels. IEEE Transactions on Wireless Communications, 6(4), 1366–1373.

    Article  Google Scholar 

  8. Durgin, G. D., Rappaport, T. S., & De Wolf, D. A. (2002). New analytical models and probability density functions for fading in wireless communications. IEEE Transactions on Communications, 50(6), 1005–1015.

    Article  Google Scholar 

  9. Bauch, G. (2003). Space–time block codes versus space–frequency block codes. Vehicular Technology Conference, 1, 567–571.

    Google Scholar 

  10. Alamouti, S. M. (1998). A simple transmit diversity technique for wireless communications. IEEE Journal on Select Areas in Communications, 16(8), 1451–1458.

    Article  Google Scholar 

  11. Shi, L., Zhang, W., & Xia, X. G. (2013). Space–frequency codes for MIMO–OFDM systems with partial interference cancellation group decoding. IEEE Transactions on Communications, 61(8), 3270–3280.

    Article  Google Scholar 

  12. 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.

    Article  MATH  Google Scholar 

  13. Singh, K., Saxena, R., & Kumar, S. (2013). Caputo-based fractional derivative in fractional Fourier transform domain. IEEE Journal on Emerging and Selected Topics in Circuits and Systems, 3(3), 330–337.

    Article  Google Scholar 

  14. Zheng, J., & Wang, Z. (2010). ICI analysis for FRFT–OFDM systems to frequency offset in time–frequency selective fading channels. IEEE Communications Letters, 14(10), 888–890.

    Article  Google Scholar 

  15. Papantoniou, S. J. (1992). A multipath channel model for mobile-radio communications. In Personal, indoor and mobile radio communications (pp. 92–97).

  16. Saberali, S. A., & Beaulieu, N. C. (2013). New expressions for TWDP fading statistics. IEEE Wireless Communications Letters, 2(6), 643–646.

    Article  Google Scholar 

  17. Singh, A. K., & Saxena, R. (2010). Development of convolution theorem in FRFT domain. In Signal processing and communications (SPCOM), international conference on IEEE (pp. 1–3).

  18. Zayed, A. I. (1998). A convolution and product theorem for the fractional Fourier transform. IEEE Signal Processing Letters, 5(4), 101–103.

    Article  Google Scholar 

  19. Singh, D., & Joshi, H. D. (2016). BER performance of SFBC OFDM system over TWDP fading channel. IEEE Communications Letters, 20(12), 2426–2429.

    Article  Google Scholar 

  20. Gradshteyn, I. S., & Ryzhik, I. M. (2014). Table of integrals, series, and products. Cambridge: Academic Press.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Thapar University, Patiala, India

    Tanvi Chawla & Ankush Kansal

Authors
  1. Tanvi Chawla
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ankush Kansal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Tanvi Chawla.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chawla, T., Kansal, A. Performance Evaluation of SFBC MIMO–OFDM Using FrFT Under TWDP Fading Channel. Wireless Pers Commun 104, 1121–1131 (2019). https://doi.org/10.1007/s11277-018-6072-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-018-6072-z

Keywords

Search

Navigation