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Optimal step-size of pseudo affine projection algorithm

Author

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  • Zhi, Yong-Feng
  • Shang, Fang-Fang
  • Zhang, Jun
  • Wang, Zhen

Abstract

A new statistical analysis model is used to analyze the pseudo affine projection (PAP) algorithm with the optimal step-size in this paper. By setting the weight error to be zero in the direction of the adaptive weight update, the optimal step-size is obtained. Two assumptions for the direction vector are proposed, which simplify the analysis of the convergence behavior for the optimal step-size PAP algorithm. Under this condition, deterministic recursive equations for the weight error and for the mean-square error are derived in the direction of the adaptive weight update. Simulation results are provided to corroborate the analytical results.

Suggested Citation

  • Zhi, Yong-Feng & Shang, Fang-Fang & Zhang, Jun & Wang, Zhen, 2016. "Optimal step-size of pseudo affine projection algorithm," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 82-88.
    • Handle: RePEc:eee:apmaco:v:273:y:2016:i:c:p:82-88
    DOI: 10.1016/j.amc.2015.09.059
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    Cited by:

    1. Deng, Xinyang & Zhang, Zhipeng & Deng, Yong & Liu, Qi & Chang, Shuhua, 2016. "Self-adaptive win-stay-lose-shift reference selection mechanism promotes cooperation on a square lattice," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 322-331.
    2. Liu, Yang & Wei, Bo & Du, Yuxian & Xiao, Fuyuan & Deng, Yong, 2016. "Identifying influential spreaders by weight degree centrality in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 86(C), pages 1-7.

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