Skip to main content
SpringerLink
Log in

Variable Step Size LMS Algorithm Based on Function Control

  • Short Paper
  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

Abstract

This paper proposes a function-controlled variable step size least mean square (VSLMS) algorithm for channel estimation in low-SNR or colored input signals. The proposed method aligns the step size update with the steady-state error and alleviates the impact of high-level noise. It improves the filter performance in terms of fast convergence rate and low misadjustment error. Simulation results demonstrate the effectiveness and verify the theoretic analysis of the proposed VSLMS algorithm.

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. W.P. Ang, B. Farhang-Boroujeny, A new class of gradient adaptive step-size LMS algorithms. IEEE Trans. Signal Process. 49, 805–810 (2001)

    Article  Google Scholar 

  2. M.H. Costa, J. Bermudez, A robust variable step size algorithm for LMS adaptive filters, in Proc. IEEE Int. Conf. Acoust. Speech Signal Process, vol. 3, (2006), pp. 93–96

    Google Scholar 

  3. Y.S. Choi, H.C. Shin, W.J. Song, Robust regularization for normalized LMS algorithms. IEEE Trans. Circuits Syst. II, Express Briefs 53, 627–631 (2006)

    Article  Google Scholar 

  4. A. Feuer, E. Weinstein, Convergence analysis of LMS filters with uncorrelated Gaussian data. IEEE Trans. Acoust. Speech Signal Process. 33, 222–230 (1985)

    Article  Google Scholar 

  5. L.L. Horowitz, K.D. Senne, Performance advantage of complex LMS for controlling narrow-band adaptive arrays. IEEE Trans. Acoust. Speech Signal Process. 29, 722–736 (1981)

    Article  Google Scholar 

  6. J.K. Hwang, Y.P. Li, Variable step-size LMS algorithm with a gradient-based weighted average. IEEE Signal Process. Lett. 16, 1043–1046 (2009)

    Article  Google Scholar 

  7. S. Haykin, Adaptive Filter Theory (Prentice-Hall, Englewood Cliffs, 2002)

    Google Scholar 

  8. R.H. Kwong, E.W. Johnston, A variable step size LMS algorithm. IEEE Trans. Signal Process. 40, 1633–1642 (1992)

    Article  MATH  Google Scholar 

  9. Y. Liu, R. Ranganathan, M.T. Hunter, W.B. Mikhael, Complex adaptive LMS algorithm employing the conjugate gradient principle for channel estimation and equalization. Circuits Syst. Signal Process. 31, 1067–1087 (2012)

    Article  MathSciNet  Google Scholar 

  10. A. Mader, H. Puder, G.U. Schmidt, Step-size control for acoustic echo cancellation—an overview. Signal Process. 80, 1697–1719 (2000)

    Article  MATH  Google Scholar 

  11. R.M. Udrea, D.N. Vizireanu, S. Ciochina, An improved spectral subtraction method for speech enhancement using a perceptual weighting filter. Signal Process. 18, 581–587 (2008)

    Google Scholar 

  12. R.M. Udrea, D.N. Vizireanu, S. Ciochina, S. Halunga, Nonlinear spectral subtraction method for colored noise reduction using multi-band Bark scale. Signal Process. 88, 1299–1303 (2008)

    Article  MATH  Google Scholar 

  13. B. Widrow, J.M. McCool, M. Larimore, C.R. Johnson, Stationary and nonstationary learning characteristics of the LMS adaptive filter. Proc. IEEE 64, 1151–1162 (1976)

    Article  MathSciNet  Google Scholar 

  14. W.W. Wu, Y.S. Wang, Wavelet based affine projection adaptive filter. Adv. Intell. Soft Comput. 110, 487–494 (2012)

    Article  Google Scholar 

  15. Y. Zhang, N. Li, J.A. Chambers, Y. Hao, New gradient-based variable step size LMS algorithms. EURASIP J. Adv. Signal Process. (2008). doi:10.1155/2008/529480

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Mang Li & Liping Li

  2. Department of Electrical Engineering, University of Tulsa, 800 S. Tucker Dr., Tulsa, OK, 74104, USA

    Heng-Ming Tai

Authors
  1. Mang Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Liping Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Heng-Ming Tai
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mang Li.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, M., Li, L. & Tai, HM. Variable Step Size LMS Algorithm Based on Function Control. Circuits Syst Signal Process 32, 3121–3130 (2013). https://doi.org/10.1007/s00034-013-9598-z

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-013-9598-z

Keywords

Search

Navigation