Skip to main content
Log in

Improved NSAF Algorithms with Variable Control Parameter Against Impulsive Noises

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

Abstract

Some improved normalized subband adaptive filter algorithms derived from nonlinear cost functions, such as the logarithmic function and the arctangent function, have shown splendid robustness against the impulsive noises. However, due to the usage of the constant control parameter in their cost functions, these algorithms need to make a balance between the steady-state error and the convergence rate, especially when the unknown impulse response changes suddenly. For settling this trade-off issue, a way of obtaining the variable control parameter (VCP) recursively is constructed by an exponential function in this paper. In the contexts of system identification and acoustic echo cancellation, simulation results testified the improved performance of these proposed VCP algorithms in terms of the convergence rate, steady-state error, and tracking capability.

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
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. S. Haykin, Adaptive Filter Theory, 4th edn. (Prentice-Hall, Upper Saddle River, 2002)

    MATH  Google Scholar 

  2. F. Huang, J. Zhang, S. Zhang, NLMS algorithm based on variable parameter cost function robust against impulsive interferences. IEEE Trans. Circuits Syst. II Exp. Briefs 64(5), 600–604 (2017)

    Article  Google Scholar 

  3. J. Kim, J. Chang, S. Nam, Sign subband adaptive filter with L1-norm minimization-based variable step-size. Electron. Lett. 49(21), 1325–1326 (2013)

    Article  Google Scholar 

  4. 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 

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

    Article  Google Scholar 

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

    Book  Google Scholar 

  7. L. Lu, H. Zhao, W. Wang, Y. Yu, Performance analysis of the robust diffusion normalized least mean p-power algorithm. IEEE Trans. Circuits Syst. II Express Briefs 65(12), 2047–2051 (2018)

    Article  Google Scholar 

  8. L. Lu, W. Wang, X. Yang, W. Wu, G. Zhu, Recursive Geman–McClure estimator for implementing second-order Volterra filter. IEEE Trans. Circuits Syst. II Express Briefs 66, 1–5 (2019)

    Article  Google Scholar 

  9. L. Lu, Y. Yu, X. Yang, W. Wu, Time delay Chebyshev functional link artificial neural network. Neurocomputing 329, 153–164 (2019)

    Article  Google Scholar 

  10. J. Ni, F. Li, Variable regularisation parameter sign subband adaptive filter. Electron. Lett. 46(24), 1605–1607 (2010)

    Article  Google Scholar 

  11. J. Ni, X. Chen, J. Yang, Two variants of the sign subband adaptive filter with improved convergence rate. Signal Process. 96, 325–331 (2014)

    Article  Google Scholar 

  12. P.J. Rousseeuw, A.M. Leroy, Robust Regression and Outlier Detection (Wiley, New York, 1987)

    Book  Google Scholar 

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

    Book  Google Scholar 

  14. M. Sayin, N. Vanli, S. Kozat, A novel family of adaptive filtering algorithms based on the logarithmic cost. IEEE Trans. Signal Process. 62(17), 4411–4424 (2014)

    Article  MathSciNet  Google Scholar 

  15. T. Shao, Y.R. Zheng, J. Benesty, An affine projection sign algorithm robust against impulsive interferences. IEEE Signal Process. Lett. 17(4), 327–330 (2010)

    Article  Google Scholar 

  16. Z. Shen, Y. Yu, T. Huang, Two novel arctangent normalized subband adaptive filter algorithms against impulsive interferences. Circuits Syst. Signal Process. 37(2), 883–900 (2017)

    Article  MathSciNet  Google Scholar 

  17. Z. Shen, T. Huang, K. Zhou, L0-norm constraint normalized logarithmic subband adaptive filter algorithm. Signal Image Video Process. 12(5), 861–868 (2018)

    Article  Google Scholar 

  18. J.W. Shin, J.W. Yoo, P.G. Park, Variable step-size sign subband adaptive filter. IEEE Signal Process. Lett. 20(2), 173–176 (2013)

    Article  Google Scholar 

  19. M.M. Sondhi, The history of echo cancellation. IEEE Signal Process. 23(5), 95–98 (2006)

    Article  Google Scholar 

  20. P. Wen, S. Zhang, J. Zhang, A novel subband adaptive filter algorithm against impulsive noise and it’s performance analysis. Signal Process. 127, 282–287 (2016)

    Article  Google Scholar 

  21. J.W. Yoo, J.W. Shin, P.G. Park, A band-dependent variable step-size sign subband adaptive filter. Signal Process. 104, 407–411 (2014)

    Article  Google Scholar 

  22. Y. Yu, H. Zhao, B. Chen, Steady-state mean-square-deviation analysis of the sign subband adaptive filter algorithm. Signal Process. 120, 36–42 (2016)

    Article  Google Scholar 

  23. Y. Yu, H. Zhao, B. Chen, Z. He, Two improved normalized subband adaptive filter algorithms with good robustness against impulsive interferences. Circuits Syst. Signal Process. 35(12), 4607–4619 (2016)

    Article  MathSciNet  Google Scholar 

  24. Y. Yu, H. Zhao, R.C. de Lamare, Y. Zakharov, L. Lu, Robust distributed diffusion recursive least squares algorithms with side information for adaptive networks. IEEE Trans. Signal Process. 67(6), 1566–1581 (2019)

    Article  MathSciNet  Google Scholar 

  25. Y. Yu, H. Zhao, R.C. de Lamare, L. Lu, Sparsity-aware subband adaptive algorithms with adjustable penalties. Digit. Signal Proc. 84, 93–106 (2019)

    Article  MathSciNet  Google Scholar 

  26. J. Zeng, Y. Lin, L. Shi, A normalized least mean square algorithm based on the arctangent cost function robust against impulsive interference. Circuits Syst. Signal Process. 35(8), 3040–3047 (2016)

    Article  Google Scholar 

  27. Y. Zou, S.C. Chan, T.S. Ng, A recursive least M-estimate (RLM) adaptive filter for robust filtering in impulse noise. IEEE Signal Process. Lett. 7(11), 324–326 (2000)

    Article  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 61473239).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Zijie Shen.

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

Shen, Z., Huang, T., Yang, L. et al. Improved NSAF Algorithms with Variable Control Parameter Against Impulsive Noises. Circuits Syst Signal Process 39, 2207–2222 (2020). https://doi.org/10.1007/s00034-019-01245-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-019-01245-4

Keywords

Navigation