Skip to main content
Log in

Sign-Normalized IIR Spline Adaptive Filtering Algorithms for Impulsive Noise Environments

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

Abstract

In this paper, a new sign-normalized least-mean-square adaptive filtering algorithm based on IIR spline adaptive filter (IIR-SAF-SNLMS) is proposed. By using the absolute value of the a posteriori error as the cost function and solving the optimization problem, the proposed algorithm achieves robustness against impulsive noise. Furthermore, to further improve the performance of the IIR-SAF-SNLMS, its variable step-size variant is proposed. Simulation results in the identification of the IIR-SAF nonlinear model show that the proposed algorithms provide better tracking and steady-state performance as compared to the existing spline algorithms.

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
Fig. 11
Fig. 12

Similar content being viewed by others

References

  1. S. Guan, Z. Li, Normalised spline adaptive filtering algorithm for nonlinear system identification. Neural Process. Lett. 46(2), 1–13 (2017)

    Article  Google Scholar 

  2. S. Guarnieri, F. Piazza, A. Uncini, Multilayer feedforward networks with adaptive spline activation function. IEEE Trans. Neural Netw. 10(3), 1–13 (1999)

    Article  Google Scholar 

  3. J.H. Kim, J.H. Chang, S.W. Nam, Sign subband adaptive filter with \(L_1\)-norm minimiza-tion based variable step-size. Electron. Lett. 49(21), 1325–1326 (2013)

    Article  Google Scholar 

  4. R.H. Kwong, E.W. Johnston, A variable step size LMS algorithm. IEEE Trans. Signal Process. 40(7), 1633–1642 (1992)

    Article  MATH  Google Scholar 

  5. H.S. Lee, S.E. Kim, W. Lee, W.J. Song, A variable step-size diffusion LMS algorithm for distributed estimation. IEEE Trans. Signal Process. 63(7), 1808–1820 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  6. J. Ni, X. Chen, J. Yang, Two variants of the sign subband adaptive filter with improved convergence rate. Signal Process. 96(5), 325–331 (2014)

    Article  Google Scholar 

  7. M.O.B. Saeed, A. Zerguine, S.A. Zummo, A noise-constrained algorithm for estimation over distributed networks. Int. J. Adapt. Control Signal Process. 27(10), 827–845 (2013)

    MathSciNet  MATH  Google Scholar 

  8. M. Scarpiniti, D. Comminiello, R. Parisi, A. Uncini, Nonlinear spline adaptive filtering. Signal Proces. 93(4), 772–783 (2013)

    Article  MATH  Google Scholar 

  9. M. Scarpiniti, D. Comminiello, R. Parisi, A. Uncini, Hammerstein uniform cubic spline adaptive filtering: learning and convergence properties. Signal Proces. 100(7), 112–123 (2014)

    Article  Google Scholar 

  10. M. Scarpiniti, D. Comminiello, R. Parisi, A. Uncini, Novel cascade spline architectures for the identification of nonlinear systems. IEEE Trans Circuits Syst.I: Reg Pap. 62(7), 1825–1835 (2015)

    Article  MathSciNet  MATH  Google Scholar 

  11. M. Scarpiniti, D. Comminiello, R. Parisi, A. Uncini, Nonlinear system identification using spline adaptive filters. Signal Proces. 108(C), 30–35 (2015)

    Article  MATH  Google Scholar 

  12. 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 

  13. S. Wang, J. Feng, C.T. Tse, Kernel affine projection sign algorithms for combating impulse interference. IEEE Trans. Circuits Ssyst.II: express Briefs 60(11), 811–815 (2012)

    Article  Google Scholar 

  14. P. Wen, J. Zhang, Robust variable step-size sign subband adaptive filter algorithm against impulsive noise. Signal Process. 139, 110–115 (2017)

    Article  Google Scholar 

  15. Y. Zhou, S.C. Chan, T.S. Ng, Least mean M-estimate algorithms for robust adaptive filtering in impulse noise. IEEE Trans. Circuits Syst.II: Analog Digit. Signal Process 47(12), 1564–1569 (2000)

    Article  Google Scholar 

Download references

Acknowledgements

This research was supported by the National Natural Science Foundation of China under Grant 61501119.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chang Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, C., Zhang, Z. & Tang, X. Sign-Normalized IIR Spline Adaptive Filtering Algorithms for Impulsive Noise Environments. Circuits Syst Signal Process 38, 891–903 (2019). https://doi.org/10.1007/s00034-018-0874-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-018-0874-9

Keywords

Navigation