Skip to main content

Arctangent Framework Based Least Mean Square/Fourth Algorithm for System Identification

  • Conference paper
  • First Online:
Robotics, Control and Computer Vision

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 1009))

Abstract

This work proposes an arctangent least mean square/fourth algorithm developed by incorporating the standard least mean square/fourth algorithm cost function with the arctangent framework for adaptive system identification. The performance of the proposed algorithm is verified through various simulations which shows that the proposed algorithm outperforms the conventional least mean square/fourth algorithm.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
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

Similar content being viewed by others

References

  1. Diniz PS (2020) Introduction to adaptive filtering. adaptive filtering. Springer, Cham, pp 1–8

    Chapter  Google Scholar 

  2. Wang S, Wang W, Xiong K, Iu HH, Chi KT (2019) Logarithmic hyperbolic cosine adaptive filter and its performance analysis. IEEE Trans Syst, Man, Cybern: Syst

    Google Scholar 

  3. Chen B, Xing L, Zhao H, Zheng N, Prı JC (2016) Generalized correntropy for robust adaptive filtering. IEEE Trans Signal Process 64(13):3376–3387

    Article  MathSciNet  MATH  Google Scholar 

  4. Gui G, Peng W, Adachi F (2014) Adaptive system identification using robust LMS/F algorithm. Int J Commun Syst 27(11):2956–2963

    Google Scholar 

  5. Patnaik A, Nanda S (2020) The variable step-size LMS/F algorithm using nonparametric method for adaptive system identification. Int J Adapt Control Signal Process 34(12):1799–1811

    Article  MathSciNet  Google Scholar 

  6. Patnaik A, Nanda S (2021) Reweighted zero-attracting modified variable step-size continuous mixed p-norm algorithm for identification of sparse system against impulsive noise. In: Proceedings of international conference on communication, circuits, and ystems: IC3S 2020, vol 728. Springer Nature, p 509

    Google Scholar 

  7. Kumar K, Pandey R, Bora SS, George NV (2021) A robust family of algorithms for adaptive filtering based on the arctangent framework. Express Briefs, IEEE Transactions on Circuits and Systems II

    Google Scholar 

  8. Das RL, Narwaria M (2017) Lorentzian based adaptive filters for impulsive noise environments. IEEE Trans Circuits Syst I Regul Pap 64(6):1529–1539

    Article  Google Scholar 

  9. Khong AW, Naylor PA (2006) October. Efficient use of sparse adaptive filters. In:2006 Fortieth asilomar conference on signals, systems and computers. IEEE, pp 1375–1379

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Soumili Saha .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 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

Saha, S., Patnaik, A., Nanda, S. (2023). Arctangent Framework Based Least Mean Square/Fourth Algorithm for System Identification. In: Muthusamy, H., Botzheim, J., Nayak, R. (eds) Robotics, Control and Computer Vision. Lecture Notes in Electrical Engineering, vol 1009. Springer, Singapore. https://doi.org/10.1007/978-981-99-0236-1_27

Download citation

Publish with us

Policies and ethics