Skip to main content
Log in

A New Normalized Subband Adaptive Filter Algorithm with Individual Variable Step Sizes

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

Abstract

Proposed is a novel variable step size normalized subband adaptive filter algorithm, which assigns an individual step size for each subband by minimizing the mean square of the noise-free a posterior subband error. Furthermore, a noniterative shrinkage method is used to recover the noise-free priori subband error from the noisy subband error signal. Simulation results using the colored input signals have demonstrated that the proposed algorithm not only has better tracking capability than the existing subband adaptive filter algorithms, but also exhibits lower steady-state error.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. M.S.E. Abadi, J.H. Husøy, Selective partial update and set-membership subband adaptive filters. Signal Process. 88(10), 2463–2471 (2008)

    Article  MATH  Google Scholar 

  2. J. Benesty, H. Rey, L.R. Vega, S. Tressens, A nonparametric VSS NLMS algorithm. IEEE Signal Process. Lett. 13(10), 581–584 (2006)

    Article  Google Scholar 

  3. M.Z.A. Bhotto, A. Antoniou, A family of shrinkage adaptive filtering algorithms. IEEE Trans. Signal Process. 61(7), 1689–1697 (2013)

    Article  MathSciNet  Google Scholar 

  4. K.A. Lee, W.S. Gan, S.M. Kuo, Subband Adaptive Filtering: Theory and Implementation (Wiley, Hoboken, 2009)

    Book  Google Scholar 

  5. K.A. Lee, W.S. Gan, Improving convergence of the NLMS algorithm using constrained subband updates. IEEE Signal Process. Lett. 11(9), 736–739 (2004)

    Article  Google Scholar 

  6. K.A. Lee, W.S. Gan, Inherent decorrelating and least perturbation properties of the normalized subband adaptive filter. IEEE Trans. Signal Process. 54(11), 4475–4480 (2006)

    Article  Google Scholar 

  7. U. Mahbub, S.A. Fattah, A single-channel acoustic echo cancellation scheme using gradient-based adaptive filtering. Circuits Syst. Signal Process. 33(5), 1541–1572 (2014)

    Article  Google Scholar 

  8. J. Ni, F. Li, A variable step-size matrix normalized subband adaptive filter. IEEE Trans. Audio Speech Lang. Process. 18(6), 1290–1299 (2010)

    Article  Google Scholar 

  9. A.H. Sayed, Adaptive Filters (Wiley, New York, 2008)

    Book  Google Scholar 

  10. J.W. Shin, N.W. Kong, P.G. Park, Normalised subband adaptive filter with variable step size. Electron. Lett. 48(4), 204–206 (2012)

    Article  Google Scholar 

  11. J.H. Seo, P.G. Park, Variable individual step-size subband adaptive filtering algorithm. Electron. Lett. 50(3), 177–178 (2014)

    Article  MathSciNet  Google Scholar 

  12. Y. Yu, H. Zhao, An improved variable step-size NLMS algorithm based on a Versiera function, in IEEE International Conference on Signal Processing, Communication and Computing (China, 2013), pp. 1–4

  13. Y. Yu, H. Zhao, Memory proportionate APSA with individual activation factors for highly sparse system identification in impulsive noise environment, in IEEE International Conference on Wireless Communications and Signal Processing (WCSP), (China, 2014), pp. 1–6

  14. W. Yin, A.S. Mehr, Stochastic analysis of the normalized subband adaptive filter algorithm. IEEE Trans. Circuits Syst. I Reg. Pap. 58(5), 1020–1033 (2011)

    Article  MathSciNet  Google Scholar 

  15. H. Zhao, Y. Yu, S. Gao, X. Zeng, Memory proportionate APA with individual activation factors for acoustic echo cancellation. IEEE/ACM Trans. Audio Speech Lang. Process. 22(6), 1047–1055 (2014)

    Article  Google Scholar 

  16. S. Zhao, D.L. Jones, S. Khoo, Z. Man, New variable step-sizes minimizing mean-square deviation for the LMS-type algorithms. Circuits Syst. Signal Process. 33(7), 2251–2265 (2014)

    Article  Google Scholar 

  17. M. Zibulevsky, M. Elad, \(\text{ L }_{1}\)\(\text{ L }_{2}\) optimization in signal and image processing. IEEE Signal Process. Mag. 27(3), 76–88 (2010)

Download references

Acknowledgments

This work was supported by National Science Foundation of P.R. China (Grants: 61271340 and 61433011), the Sichuan Provincial Youth Science and Technology Fund (Grant: 2012JQ0046), and the Fundamental Research Funds for the Central Universities (Grant: SWJTU12CX026).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haiquan Zhao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yu, Y., Zhao, H. & Chen, B. A New Normalized Subband Adaptive Filter Algorithm with Individual Variable Step Sizes. Circuits Syst Signal Process 35, 1407–1418 (2016). https://doi.org/10.1007/s00034-015-0112-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-015-0112-7

Keywords

Navigation