Skip to main content
SpringerLink
Log in

Robust Set-Membership Affine Projection Algorithm with Coefficient Vector Reuse

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

Abstract

This paper proposes a robust set-membership affine projection algorithm with coefficient vector reuse (RSM-APA-CVR) for high background noise environment. In the proposed algorithm, the sum of the squared \(L_{2}\) norms of the differences between the updated weight vector and past weight vectors is minimized and a new robust error bound is designed. Simulation results in acoustic echo cancellation context show that the proposed algorithm has faster convergence rate and smaller steady-state misalignment as compared to the conventional RSM-APA.

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
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. M.Z.A. Bhotto, A. Antoniou, Robust set-membership affine-projection adaptive-filtering algorithm. IEEE Trans. Signal Process. 60(1), 73–81 (2012)

    Article  MathSciNet  Google Scholar 

  2. H. Cho, Y. Jeon, D. Choi, S. W. Kim, Affine projection algorithm with coefficient vector reusing, in ECTI-CON 2009 (2009), pp. 1148–1150

  3. H. Cho, C.W. Lee, S.W. Kim, Derivation of a new normalized least mean squares algorithm with modified criterion. Signal Process. 89(4), 692–695 (2009)

    Article  MATH  Google Scholar 

  4. Y.-S. Choi, S.-E. Kim, W.-J. Song, Noise-robust normalised subband adaptive filtering. Electron. Lett. 48(8), 432–434 (2012)

    Article  Google Scholar 

  5. J. Cui, H. Shao, A robust set-membership affine projection algorithm based on outlier estimation method, in ISCC 2015 (2015), pp. 1–8

  6. R.C. de Lamare, P.S.R. Diniz, Set-membership adaptive algorithms based on time-varying error bounds for CDMA interference suppression. IEEE Trans. Veh. Technol. 58(2), 644–654 (2009)

    Article  Google Scholar 

  7. P.S.R. Diniz, Adaptive Filtering: Algorithms and Practical Implementation (Springer, New York, 2013)

    Book  MATH  Google Scholar 

  8. S. Gollamudi, S. Nagaraj, S. Kapoor, Y.F. Huang, Set-membership filtering and a set-membership normalized LMS algorithm with an adaptive step size. IEEE Signal Process. Lett. 5(5), 111–114 (1998)

    Article  Google Scholar 

  9. S. Haykin, Adaptive Filter Theory (Prentice-Hall, Upper Saddle River, 2002)

    MATH  Google Scholar 

  10. M.V.S. Lima, T.N. Ferreira, W.A. Martins, P.S.R. Diniz, Sparsity-aware data-selective adaptive filters. IEEE Trans. Signal Process. 62(17), 4557–4572 (2014)

    Article  MathSciNet  Google Scholar 

  11. L. Lu, H. Zhao, A novel convex combination of LMS adaptive filter for system identification, in ICSP 2014 (2014), pp. 225–229

  12. L. Lu, H. Zhao, Z. He, B. Chen, A novel sign adaptation scheme for convex combination of two adaptive filters. Int. J. Electron. Commun. 69(11), 1590–1598 (2015)

    Article  Google Scholar 

  13. L. Lu, H. Zhao, K. Li, B. Chen, A novel normalized sign algorithm for system identification under impulsive noise interference. Circuits Syst. Signal Process. 35(9), 3244–3265 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  14. J. Ni, Improved normalised subband adaptive filter. Electron. Lett. 48(6), 320–321 (2012)

    Article  Google Scholar 

  15. K. Ozeki, T. Umeda, An adaptive filtering algorithm using an orthogonal projection to an affine subspace and its properties. Electron. Commun. Jpn. 67–A(5), 19–27 (1984)

    Article  MathSciNet  Google Scholar 

  16. Z. Qu, Z. Zheng, An efficient \(L_{0}\) norm constraint memory improved proportionate affine projection algorithm. Circuits Syst. Signal Process. (2016). doi:10.1007/s00034-016-0467-4

  17. A.H. Sayed, Fundamentals of Adaptive Filtering (Wiley, New York, 2003)

    Google Scholar 

  18. S. Werner, P.S.R. Diniz, Set-membership affine projection algorithm. IEEE Signal Process. Lett. 8(8), 231–235 (2001)

    Article  Google Scholar 

  19. Y. Yu, H. Zhao, An improved variable step-size NLMS algorithm based on a Versiera function, in IEEE ICSPCC 2013 (2013), pp. 1–4

  20. Y. Yu, H. Zhao, Memory proportionate APSA with individual activation factors for highly sparse system identification in impulsive noise environment, in IEEE WCSP 2014 (2014), pp. 1–6

  21. Y. Yu, H. Zhao, B. Chen, Sparseness-controlled proportionate affine projection sign algorithms for acoustic echo cancellation. Circuits Syst. Signal Process. 34(12), 3933–3948 (2015)

    Article  MathSciNet  Google Scholar 

  22. H. Zhang, G. Zhang, J. Wang, H\(\infty \) observer design for LPV systems with uncertain measurements on scheduling variales: application to an electric ground vehicle. IEEE/ASME Trans. Mechatron. 21(3), 1659–1670 (2016)

    Article  Google Scholar 

  23. H. Zhang, G. Zhang, J. Wang, Sideslip angle estimation of an electric ground vehicle via finite-frequency H\(\infty \) approach. IEEE Trans. Transp. Electr. 2(2), 200–209 (2016)

    Article  Google Scholar 

  24. H. Zhang, J. Wang, Adaptive sliding-mode observer design for a selective catalytic reduction system of ground-vehicle diesel Engines. IEEE/ASME Trans. Mechatronics 21(4), 2027–2038 (2016)

    Article  Google Scholar 

  25. S. Zhang, J. Zhang, Set-membership NLMS algorithm with robust error bound. IEEE Trans. Circuits Syst. II Exp. Briefs 61(7), 536–540 (2014)

    Article  Google Scholar 

  26. S. Zhang, J. Zhang, Robust bounding ellipsoidal adaptive constrained least-squares algorithm and its performance analysis. Digit. Signal Process. 51, 124–132 (2016)

    Article  MathSciNet  Google Scholar 

  27. H. Zhao, L. Lu, Z. He, B. Chen, Adaptive recursive algorithm with logarithmic transformation for nonlinear system identification in \(\alpha \)-stable noise. Digit. Signal Process. 46, 120–132 (2015)

    Article  MathSciNet  Google Scholar 

  28. H. Zhao, Z. Zheng, \(L_{0}\) norm constraint set-membership affine projection algorithm with coefficient vector reuse. Electron. Lett. 52(7), 560–562 (2016)

    Article  Google Scholar 

  29. H. Zhao, Z. Zheng, Bias-compensated affine-projection-like algorithms with noisy input. Electron. Lett. 52(9), 712–714 (2016)

    Article  Google Scholar 

  30. Z. Zheng, H. Zhao, Proportionate affine projection algorithm based on coefficient difference, in IEEE ICSPCC 2014 (2014), pp. 115–119

  31. Z. Zheng, H. Zhao, Memory improved proportionate M-estimate affine projection algorithm. Electron. Lett. 51(6), 525–526 (2015)

    Article  Google Scholar 

  32. Z. Zheng, H. Zhao, Affine projection M-estimate subband adaptive filters for robust adaptive filtering in impulsive noise. Signal Process. 120, 64–70 (2016)

    Article  Google Scholar 

  33. Z. Zheng, H. Zhao, Bias-compensated normalized subband adaptive filter algorithm. IEEE Signal Process. Lett. 23(6), 809–813 (2016)

    Article  Google Scholar 

Download references

Acknowledgements

This work was partially supported by National Science Foundation of P. R. China (Grants: 61271340, 61571374 and 61433011). The authors would like to thank Prof. M. N. S. Swamy and the reviewers for the valuable comments and suggestions.

Author information

Authors and Affiliations

  1. Key Laboratory of Magnetic Suspension Technology and Maglev Vehicle, Ministry of Education, Chengdu, China

    Zongsheng Zheng & Haiquan Zhao

  2. School of Electrical Engineering, Southwest Jiaotong University, Chengdu, China

    Zongsheng Zheng & Haiquan Zhao

Authors
  1. Zongsheng Zheng
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Haiquan Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

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

Zheng, Z., Zhao, H. Robust Set-Membership Affine Projection Algorithm with Coefficient Vector Reuse. Circuits Syst Signal Process 36, 3843–3853 (2017). https://doi.org/10.1007/s00034-016-0471-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-016-0471-8

Keywords

Search

Navigation