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A class of improved least sum of exponentials algorithms

机译：一类改进的最小指数和算法

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摘要

A class of improved least sum of exponentials (ILSE) algorithms is proposed by incorporating a scaling factor into the cost function of LSE in this paper. The even-order moment information regarding error is influenced by the scaling factor. However, the ILSE algorithm based on a fixed scaling factor can only provide a tradeoff between the convergence rate and steady-state excess-mean-square error (EMSE). Therefore, a variable scaling factor ILSE (VS-ILSE) algorithm is also proposed to improve the convergence rate and steady-state EMSE, simultaneously. To facilitate analysis, the energy conservation relation of ILSE is established, providing a sufficient condition for mean square convergence and a theoretical value of the steady-state EMSE. In addition, the kernel extensions of ILSE and VS-ILSE are further developed for performance improvement. Simulation results illustrate the theoretical analysis and the excellent performance of the proposed methods.
机译：通过将比例因子结合到LSE的成本函数中，提出了一类改进的指数最小和（ILSE）算法。关于误差的偶数矩信息受比例因子影响。但是，基于固定比例因子的ILSE算法只能在收敛速度和稳态超均方误差（EMSE）之间进行权衡。因此，还提出了一种可变比例因子ILSE（VS-ILSE）算法，以同时提高收敛速度和稳态EMSE。为了便于分析，建立了ILSE的节能关系，为均方收敛和稳态EMSE的理论值提供了充分的条件。此外，还进一步开发了ILSE和VS-ILSE的内核扩展，以提高性能。仿真结果说明了该方法的理论分析和优异的性能。

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  • 来源
    《Signal processing》 |2016年第11期|340-349|共10页
  • 作者

    Shiyuan Wang; Yunfei Zheng; Shukai Duan; Lidan Wang; Chi K. Tse;

  • 作者单位

    The School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China;

    The School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China;

    The School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China;

    The School of Electronic and Information Engineering, Southwest University, Chongqing 400715, China;

    The Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Least sum of exponentials; Energy conservation relation; Variable scaling factor; Kernel method;

    机译：指数的最小和;节能关系;可变比例因子;内核方法;

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