Skip to main content

GpLMS: Generalized Parallel Least Mean Square Algorithm for Partial Observations

  • Conference paper
  • First Online:
Intelligent Decision Technologies

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 309))

Abstract

We propose a generalized parallel least mean square algorithm (GpLMS) to deal with partial observation scenarios. GpLMS takes advantage of a two stage parallel LMS architecture to enhance the convergence rate and updates weight vector based on observed entries to obtain a low computational complexity. We compare the results from our proposed algorithm with the state-of-the-arts in an adaptive beamforming context to illustrate its effectiveness.

Supported by the AID-DGA and ANR in France to whom the authors are grateful.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Akkad, G., Mansour, A., ElHassan, B., Inaty, E.: A multi-stage parallel LMS structure and its stability analysis using transfer function approximation. In: 2020 28th European Signal Processing Conference (EUSIPCO), pp. 1851–1855 (2021). https://doi.org/10.23919/Eusipco47968.2020.9287604

  2. Akkad, G., Mansour, A., ElHassan, B.A., Inaty, E., Ayoubi, R., Srar, J.A.: A pipelined reduced complexity two-stages parallel LMS structure for adaptive beamforming. IEEE Trans. Circ. Syst. I: Reg. Pap. 67(12), 5079–5091 (2020)

    Google Scholar 

  3. Haykin, S.S.: Adaptive Filter Theory. Pearson Education India (2008)

    Google Scholar 

  4. Kong, L., Xia, M., Liu, X.Y., Chen, G., Gu, Y., Wu, M.Y., Liu, X.: Data loss and reconstruction in wireless sensor networks. IEEE Trans. Parallel Distrib. Syst. 25(11), 2818–2828 (2014)

    Article  Google Scholar 

  5. Ma, H., King, I., Lyu, M.R.: Effective missing data prediction for collaborative filtering. In: Proceedings of the 30th Annual International ACM SIGIR Conference on Research and Development in Information Retrieval, pp. 39–46 (2007)

    Google Scholar 

  6. Slavakis, K., Giannakis, G.B., Mateos, G.: Modeling and optimization for big data analytics: (statistical) learning tools for our era of data deluge. IEEE Signal Process. Mag. 31(5), 18–31 (2014)

    Article  Google Scholar 

  7. Srar, J.A., Chung, K.S.: Adaptive RLMS algorithm for antenna array beamforming. In: TENCON 2009—2009 IEEE Region 10 Conference, pp. 1–6 (2009). https://doi.org/10.1109/TENCON.2009.5396256

  8. Srar, J.A., Chung, K.S., Mansour, A.: Adaptive array beamforming using a combined LMS-LMS algorithm. IEEE Trans. Antennas Propag. 58(11), 3545–3557 (2010). https://doi.org/10.1109/TAP.2010.2071361

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ghattas Akkad .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Akkad, G., Nguyen, VD., Mansour, A. (2022). GpLMS: Generalized Parallel Least Mean Square Algorithm for Partial Observations. In: Czarnowski, I., Howlett, R.J., Jain, L.C. (eds) Intelligent Decision Technologies. Smart Innovation, Systems and Technologies, vol 309. Springer, Singapore. https://doi.org/10.1007/978-981-19-3444-5_38

Download citation

Publish with us

Policies and ethics