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Robust Novel Affine Projection Sign Subband Adaptive Filter Algorithm

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Abstract

This paper presents a novel affine projection sign subband adaptive filter (NAPSSAF) which could achieve better performance than the conventional APSSAF. The proposed NAPSSAF is obtained by solving the optimal problems regarding the l1-norm of the subband a posteriori error vectors rather than overall a posteriori error vector, which fully uses the subband adaptive filter’s inherent decorrelating property. However, since the NAPSSAF algorithm uses the fixed step size, it has an inherent trade-off between low steady-state error and fast convergence rate. Thus, we also propose a combined step size NAPSSAF (CSS-NAPSSAF) to further improve the performance of the NAPSSAF. Finally, simulations are carried out to exhibit the advantages of the NAPSSAF and CSS-NAPSSAF algorithms. The results of simulations demonstrate that the NAPSSAF is superior to the existing algorithms. Besides, the results of simulations also exhibit the improved performance of the CSS-NAPSSAF compared to NAPSSAF.

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Acknowledgments

This work was partially supported by National Science Foundation of P.R. China (Grant: 61571374, 61271340 and 61433011).

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Authors and Affiliations

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

    Qianqian Liu & Haiquan Zhao

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

    Qianqian Liu & Haiquan Zhao

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  1. Qianqian Liu
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  2. Haiquan Zhao
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Correspondence to Qianqian Liu.

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Liu, Q., Zhao, H. Robust Novel Affine Projection Sign Subband Adaptive Filter Algorithm. Circuits Syst Signal Process 38, 4141–4161 (2019). https://doi.org/10.1007/s00034-019-01050-z

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