Skip to main content
SpringerLink
Log in

Sigma-Delta Modulation Based Adaptive Channel Equalizer Based on Wiener–Hopf Equations

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

Recenlty, short word length DSP systems are proposed and reported that they outperform compared to their counterpart multi-bit systems in the sense of area-performance-power analysis. In this continuation, this paper presents the application of sigma-delta modulation (SDM) in the design of adaptive channel equalizer using the Wiener filter for wireless and underwater acoustic communication (UWA). To validate the application, various aspects of design are taken into consideration and comparison is carried out with contemporary (i.e., multi-bit) approach. Besides, FPGA based implementation of SDM based design and conventional approach is also carried out to endorse the proposed algorithm to be used in hardware based implementation. The results given in terms of area -perfromance analysis show that proposed algorithm works as desired and it opens the way of using the sigma-delta modulation in adaptive signal processing domain for UWA that has remained a quite challenging task ever before.

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
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  1. Pham, T. C., Hoang, B. X., Chiem, Q. T., Tran, L. D., & Ho, A.-V. (2018). Implementation of a short word length ternary FIR filter in both FPGA and ASIC. In 2018 2nd International conference on recent advances in signal processing, telecommunications & computing (SigTelCom), pp. 45–50.

  2. Memon, T., Beckett, P., & Sadik, A. Z. (2012). Sigma-delta modulation based digital filter design techniques in FPGA. ISRN Electronics, 2012, 1–10.

    Article  Google Scholar 

  3. Memon, T. D., Beckett, P., & Sadik, A. Z. (2013). Power-area-performance characteristics of FPGA-based sigma-delta fir filters. Journal of Signal Processing Systems, 70, 275–288.

    Article  Google Scholar 

  4. A. C. Thompson, P. J. O'Shea, and Z. Hussain, “Performance of a new single-bit ternary filtering system,” 2003.

  5. Thompson, A. C., O'Shea, P., Hussain, Z. M., & Steele, B. R. (2004). Efficient single-bit ternary digital filtering using sigma-delta modulator. IEEE Signal Processing Letters, 11, 164–166.

    Article  Google Scholar 

  6. Pfann, E., & Stewart, R. W. (1998). LMS adaptive filtering with/spl Sigma//spl Delta/modulated input signals. IEEE Signal Processing Letters, 5, 95–97.

    Article  Google Scholar 

  7. Hussain, Z., O’Shea, P., & Sadik, A. (2006). Adaptive algorithm for ternary filtering. Electronics Letters, 42, 1–2.

    Article  Google Scholar 

  8. Memon, T., Beckett, P., Sadik, A., & O’Shea, P. (2011). Single-bit adaptive channel equalization for narrowband signals. In TENCON 2011.

  9. Sadik, A., Hussain, Z., & O'Shea, P. (2006). Adaptive algorithm for ternary filtering. Electronics Letters, 42, 420–421.

    Article  Google Scholar 

  10. Sadik, A. Z., & Hussain, Z. M. (2007). Short word-length LMS filtering. In 2007 9th International symposium on signal processing and its applications, pp 1–4.

  11. Sadik, A. Z., & Hussain, Z. M. (2007) Short word-length LMS filtering. In 2007 9th International symposium on signal processing and its applications, 2007. ISSPA, pp. 1–4.

  12. Xerri, B., Cavassilas, J.-F., & Borloz, B. (2002). Passive tracking in underwater acoustic. Signal Processing, 82, 1067–1085.

    Article  Google Scholar 

  13. Singer, A. C., Nelson, J. K., & Kozat, S. S. (2009). Signal processing for underwater acoustic communications. IEEE Communications Magazine, 47, 90–96.

    Article  Google Scholar 

  14. Kilfoyle, D. B., & Baggeroer, A. B. (2000). The state of the art in underwater acoustic telemetry. IEEE Journal of Oceanic Engineering, 25, 4–27.

    Article  Google Scholar 

  15. Kari, D., Vanli, N. D., & Kozat, S. S. (2016). Adaptive and efficient nonlinear channel equalization for underwater acoustic communication. arXiv preprint arXiv:1601.01218.

  16. Song, A., & Badiey, M. (2005). Generalized equalization for underwater acoustic communications. In Proceedings of OCEANS 2005 MTS/IEEE, pp. 1522–1527.

  17. Yeo, K., Pelekanakis, K. , & Chitre, M. (2011) Time-domain equalization for underwater acoustic ofdm systems with insufficient cyclic prefix. In OCEANS’11 MTS/IEEE KONA, pp. 1–5.

  18. Poularikas, A. D., & Ramadan, Z. M. (2006). Adaptive filtering primer with MATLAB. Boca Raton: CRC Press.

    MATH  Google Scholar 

  19. Haykin, S. S., Widrow, B., & Widrow, B. (2003). Least-mean-square adaptive filters (Vol. 31). New York: Wiley.

    Book  Google Scholar 

  20. Widrow, B. (1971). Adaptive filters. In R. E. Kalman, N. DeClaris (Eds.), Aspects of network and system theory, pp. 563–587. Holt, Rinehart and Winston.

  21. Hussain, Z. M., Sadik, A. Z., & O’Shea, P. (2011). Digital signal processing: an introduction with MATLAB and applications. Berlin: Springer.

    MATH  Google Scholar 

Download references

Acknowledgements

This research work is supported by the Higher Education Commission (HEC), Pakistan under the National Research Program for Universities (NRPU) grant Number 8521 and National Center for Robotics and Automation (NCRA) joint lab titled “Haptics, Human Robotics and Condition Monitoring Systems (HHCMS) Lab” established at Mehran University of Engineering and Technology, Jamshoro.

Author information

Author notes

  1. Aneela Pathan

    Present address: Institute of Information and Communication Technologies, Mehran University of Engineering and Technology, Jamshoro, Pakistan

Authors and Affiliations

  1. Department of Electronic Engineering, Quad-e-Awam University of Science and Technology, QUEST, Larkana, Sindh, Pakistan

    Aneela Pathan

  2. Institute of Information and Communication Technologies, Mehran University of Engineering and Technology, Jamshoro, Pakistan

    Tayab D. Memon

  3. Department of Electronic Engineering, Mehran University of Enginering and Technology, Jamshoro, Pakistan

    Tayab D. Memon

  4. National Center for Robotics and Autoamtion, HHCMS Lab, MUET, Jamshoro, Pakistan

    Aneela Pathan & Tayab D. Memon

Authors
  1. Aneela Pathan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tayab D. Memon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Aneela Pathan.

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

Pathan, A., Memon, T.D. Sigma-Delta Modulation Based Adaptive Channel Equalizer Based on Wiener–Hopf Equations. Wireless Pers Commun 116, 1123–1135 (2021). https://doi.org/10.1007/s11277-019-06951-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-019-06951-5

Keywords

Search

Navigation