Abstract
For a physical sparse system identification issue, this brief proposes a filter proportionate arctangent framework-based least mean square (FP-ALMS) algorithm. The ALMS algorithm has significant robustness against impulsive noise, whereas the filter proportionate concept when utilized in combination with the ALMS takes advantage of the sparse feature to accelerate convergence time. As a result, it turns out that the FP-ALMS algorithm has greater robustness and convergence speed in an impulsive environment. Finally, simulation outcomes demonstrate that the novel FP-ALMS algorithm outperforms other existing algorithms in terms of robustness in an impulsive environment, convergence rate, and steady-state error for sparse system identification.
Similar content being viewed by others
Availability of data and materials
No public dataset is used.
References
Wu, Y., Qing, Z., Ni, J., Chen, J.: Block-sparse sign algorithm and its performance analysis. Digit. Signal Process. 128, 103620 (2022)
Yu, Y., Yang, T., Chen, H., Lamare, R.C.D., Li, Y.: Sparsity-aware SSAF algorithm with individual weighting factors: performance analysis and improvements in acoustic echo cancellation. Signal Process. 178, 107806 (2021)
He, R., Ai, B., Wang, G., Yang, M., Huang, C., Zhong, Z.: Wireless channel sparsity: measurement, analysis, and exploitation in estimation. IEEE Wirel. Commun. 28(4), 113–119 (2021)
Haykin, S.O.: Adaptive Filter Theory, 4th edn. Prentice-Hall, Upper Saddle River (2002)
Patnaik, A., Nanda, S.: The variable step-size LMS/F algorithm using nonparametric method for adaptive system identification. Int. J. Adapt. Control Signal Process. 34(12), 1799–1811 (2020)
Luis Perez, F., André Pitz, C., Seara, R.: A two-gain NLMS algorithm for sparse system identification. Signal Process. 200, 108 (2022)
Bershad, N.J., Bermudez, J.C.M.: Stochastic analysis of the least mean kurtosis algorithm for Gaussian inputs. Digit. Signal Process. 54, 35 (2016)
Seng, K.P., Man, Z., Wu, H.R.: Lyapunov-theory-based radial basis function networks for adaptive filtering. IEEE Trans. Circuits Syst I Fundam. Theory Appl. 49(8), 1215–1220 (2002)
Mengüç, E.C., Acır, N.: An augmented complex-valued Lyapunov stability theory based adaptive filter algorithm. Signal Process. 137, 10–21 (2017)
Ma, W., Duan, J., Cao, J., Li, Y., Chen, B.: Proportionate adaptive filtering algorithms based on mixed square/fourth error criterion with unbiasedness criterion for sparse system identification. Int. J. Adapt. Control Signal Process. 32(11), 1644–1654 (2018)
Rosalin, N.K.R., Das, D.P.: Filter proportionate normalized least mean square algorithm for a sparse system. Int. J. Adapt. Control Signal Process. 33(11), 1695–1705 (2019)
Duttweiler, D.L.: Proportionate normalized least-mean-squares adaptation in echo cancelers. IEEE Trans Speech Audio Process. 8(5), 508–518 (2000)
Patnaik, A., Nanda, S.: Convex combination of nonlinear filters using improved proportionate least mean square/fourth algorithm for sparse system identification. J. Vib. Eng. Technol. (2023). https://doi.org/10.1007/s42417-023-00885-w
Benesty, J., Gay, S.L.: An improved PNLMS algorithm. In: 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing, Orlando, FL, USA (2002)
Liu, L., Fukumoto, M., Saiki, S.: An improved mu-law proportionate NLMS algorithm. In: 2008 IEEE International Conference on Acoustics, Speech and Signal Processing, Las Vegas, NV, USA (2008)
Rakesh, P., Kishore Kumar, T., Albu, F.: Novel sparse algorithms based on Lyapunov stability for adaptive system identification. Radioengineering 27(1), 270 (2018)
Yoo, J.: An improved least mean kurtosis (LMK) algorithm for sparse system identification. Int. J. Inf. Electron. Eng. (2012). https://doi.org/10.7763/IJIEE.2012.V2.246
Singh, A., Principe, J.C.: Using Correntropy as a cost function in linear adaptive filters. In: 2009 International Joint Conference on Neural Networks, Atlanta, GA, USA (2009)
Chen, B., Xing, L., Zhao, H., Zheng, N., Prı´ncipe, J.C.: Generalized correntropy for robust adaptive filtering. IEEE Trans. Signal Process. 64(13), 3376–3387 (2016)
Ma, W., Zheng, D., Zhang, Z., Duan, J., Chen, B.: Robust proportionate adaptive filter based on maximum correntropy criterion for sparse system identification in impulsive noise environments. Signal Image Video Process. 12(1), 117–124 (2017)
Wu, Z., Peng, S., Chen, B., Zhao, H., Principe, J.: Proportionate minimum error entropy algorithm for sparse system identification. Entropy 17(12), 5995–6006 (2015)
Gogineni, V.C., Mula, S.: Improved proportionate-type sparse adaptive filtering under maximum correntropy criterion in impulsive noise environments. Digit. Signal Process. 79, 190–198 (2018)
Huang, F., Zhang, J., Zhang, S.: Maximum versoria criterion-based robust adaptive filtering algorithm. IEEE Trans. Circuits Syst. II Express Briefs 64(10), 1252–1256 (2017)
Radhika, S., Albu, F., Chandrasekar, A.: Proportionate maximum versoria criterion-based adaptive algorithm for sparse system identification. IEEE Trans. Circuits Syst. II Express Briefs 69(3), 1902–1906 (2022)
Kumar, K., Pandey, R., Bora, S.S., George, N.V.: A robust family of algorithms for adaptive filtering based on the arctangent framework. IEEE Trans. Circuits Syst. II Express Briefs 69(3), 1967–1971 (2022)
Patnaik, A., Nanda, S.: Arctangent framework based least mean square/fourth algorithm for system identification. In: Proceedings of International Conference on Robotics, Control and Computer Vision: IRCCV (2023)
Jia, W., et al.: Steady-state performance analysis of the arctangent LMS algorithm with Gaussian input. IEEE Trans. Circuits Syst. II Express Briefs (2023). https://doi.org/10.1109/TCSII.2023.3248222
Funding
No funding was received.
Author information
Authors and Affiliations
Contributions
The first author proposed the idea and wrote the manuscript text. The second author simulated the results.
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they do not have any competing interest.
Ethical approval
No studies on human or animals are conducted.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Rosalin, Patnaik, A. A filter proportionate LMS algorithm based on the arctangent framework for sparse system identification. SIViP 18, 335–342 (2024). https://doi.org/10.1007/s11760-023-02729-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11760-023-02729-2