Skip to main content
Log in

Carrier Frequency Offset in VSF-OFCDM Systems with Subcarrier Grouping: Analysis, Estimation and Correction

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

We investigate the effect of carrier frequency offset (CFO) on the performance of downlink variable spreading factor (VSF) orthogonal frequency and code division multiple access (OFCDM) systems when subcarrier grouping is used. An analytic expression of the signal to interference and noise ratio (SINR) is derived for the VSF-OFCDM with CFO for the case of maximal ratio combining (MRC) and equal gain combining (EGC) receivers. Numerical results show that, when the total spreading factor is fixed, a system with higher frequency domain spreading factor is more sensitive to CFO than that with lower frequency domain spreading factor. Also, for high E b /N o , EGC has better bit error rate performance than MRC due to the greater interference amplification present in MRC which compounds the effect of the loss of orthogonality. Due to the adverse impact of the CFO on VSF-OFCDM systems, we propose a correction scheme based on the maximum likelihood principle. We then use a gradient algorithm to estimate and minimize the effect of CFO in a tracking mode. Our results show that the BER performance in the low SINR environment can be improved significantly with few number of iterations for different spreading factors.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Xiao L., Liang Q. (2000) A Novel MC-2D-CDMA communication system and its detection methods. IEEE International Conference on Communications 3: 1223–1227

    Google Scholar 

  2. Atarashi H., Abeta S., Sawahashi M. (2003) Variable spreading factor orthogonal frequency and code division multiplexing (VSF-OFCDM) for broadband packet wireless access. IEICE Transactions on Communications E86-B: 291–299

    Google Scholar 

  3. Maeda N., Kishiyama Y., Atarashi H., Sawashashi M. (2003) Variable spreading factor-OFCDM with two dimensional spreading that prioritizes time domain spreading for forward link broadband wireless access. IEEE Vehicular Technology Conference 1: 127–132

    Google Scholar 

  4. Azmi P., Tavakkoli N. (2008) Narrow-band interference suppression in CDMA spread-spectrum communication systems using preprocessing based techniques in transform-domain. Progress in Electromagnetics Research Letters 3(1): 141–150

    Article  Google Scholar 

  5. Kim Y., Choi S., You C., Hong D. (1999) Effect of carrier frequency offset on the performance of an MC-CDMA system and its countermeasure using pulse shaping. IEEE International Conference on Communications 1: 167–171

    Google Scholar 

  6. Yang W., Liu J., Cheng S.-X. (2006) Effect of carrier-frequency offset on the performance of group-orthogonal multicarrier CDMA systems. Elsevier Signal Processing 86: 3934–3940

    MATH  Google Scholar 

  7. Steendam H., Moeneclaey M. (2001) The effect of carrier frequency offsets on downlink and uplink MC-DS-CDMA. IEEE Journal on Selected Areas in Communications 19: 2528–2536

    Article  Google Scholar 

  8. Moon J.-H., You Y., Jeon W.-G., Paik J.-H. (2004) BER performance of multiple-antenna OFCDM with imperfections. IEEE Communications Letters 8: 12–14

    Article  Google Scholar 

  9. Nasser Y., des Noes M., Ros L., Jourdain G. (2006) Sensitivity of OFDM-CDMA systems to carrier frequency offset. IEEE International Conference on Communications 10: 4577–4582

    Article  Google Scholar 

  10. Chang C., Huang P., Tu T. (2007) Performance comparison of MRC and EGC on a MC-CDMA system with synchronization errors over fading channels. Wireless Personal Communications 43: 685–698

    Article  Google Scholar 

  11. Pursley M. (1977) Performance evaluation for phase coded spread spectrum multiple access communication-part I: System analysis. IEEE Transactions on Communications COM-25: 795–799

    Article  Google Scholar 

  12. Daffara F., Chouly A. (1993) Maximum likelihood frequency detectors for orthogonal multicarrier systems. IEEE International Conference on Communications 2: 766–771

    Google Scholar 

  13. Guainazzo M., Gandetto M., Sacchi C., Regazzoni C. S. (2003) Maximum likelihood estimation of carrier offset in a variable bit rate orthogonal multicarrier CDMA. IEEE International Symposium on Image and Signal Processing and Analysis 2: 1181–1185

    Google Scholar 

  14. Maeda N., Atarashi H., Sawahashi M. (2003) Performance comparison of channel interleaving methods in frequency domain for VSF-OFCDM broadband wireless access in forward link. IEICE Transactions on Communications E86-B: 300–313

    Google Scholar 

  15. Caldwell, R., & Anpalagan, A. (2006). Performance analysis of subcarrier allocation in two dimensionally spread OFCDM systems. In IEEE Vehicular Technology Conference.

  16. Weinstein S. B., Ebert P. M. (1971) Data transmission by frequency division multiplexing using the discrete fourier transform. IEEE Transactions on Communications 19: 628–634

    Article  Google Scholar 

  17. Jakes C. J. (1994) Microwave mobile communications. IEEE Press, New Jersy

    Book  Google Scholar 

  18. Long H., Chew Y. H. (2004) An adaptive subcarrier allocation scheme for MC-DS-CDMA systems in the presence of multiple access interference. IEEE International Conference on Communications 5: 2894–2898

    Google Scholar 

  19. Isaac, O., Zhang, Y., & Shirisha, P. (2006). OFDM carrier frequency offset estimation. Ph.D thesis, Karlstad University, Sweden.

  20. Proakis J. G. (2001) Digital communications (4th ed.). McGraw Hill, New York

    Google Scholar 

  21. Tian , Letaief K. B. (2001) ML estimation and correction of frequency offset for MC-CDMA systems over fading channels. IEEE Vehicular Technology Conference 1: 571–575

    Google Scholar 

  22. Kelley C. T. (1999) Iterative methods for optimization. Society of Industrial and Applied Mathematics (SIAM), Philadelphia, PA

    MATH  Google Scholar 

  23. Shi Q., Latva-aho M. (2001) Effect of frequency offset on the performance of asynchronous MC-CDMA systems in a correlated Rayleigh fading channel. IEEE International Conference on Info-tech and Info-net 2: 448–452

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alagan Anpalagan.

Additional information

This work was in part supported by the Natural Sciences and Engineering Research Council (NSERC) of Canada.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khalid, L., Anpalagan, A. Carrier Frequency Offset in VSF-OFCDM Systems with Subcarrier Grouping: Analysis, Estimation and Correction. Wireless Pers Commun 59, 643–666 (2011). https://doi.org/10.1007/s11277-010-9930-x

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-010-9930-x

Keywords

Navigation