Logarithmic Hyperbolic Cosine Adaptive Filter and Its Performance Analysis

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

30 Scopus Citations
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Author(s)

  • Shiyuan Wang
  • Wenyue Wang
  • Kui Xiong
  • Herbert H. C. Iu
  • Chi K. Tse

Detail(s)

Original languageEnglish
Article number8721546
Pages (from-to)2512-2524
Journal / PublicationIEEE Transactions on Systems, Man, and Cybernetics: Systems
Volume51
Issue number4
Online published24 May 2019
Publication statusPublished - Apr 2021
Externally publishedYes

Abstract

The hyperbolic cosine function with high-order errors can be utilized to improve the accuracy of adaptive filters. However, when initial weight errors are large, the hyperbolic cosine-based adaptive filter (HCAF) may be unstable. In this paper, a novel normalization based on the logarithmic hyperbolic cosine function is proposed to achieve the stabilization for the case of large initial weight errors, which generates a logarithmic HCAF (LHCAF). Actually, the cost function of LHCAF is the logarithmic hyperbolic cosine function that is robust to large errors and smooth to small errors. The transient and steady-state analyses of LHCAF in terms of the mean-square deviation (MSD) are performed for a stationary white input with an even probability density function in a stationary zero-mean white noise. The convergence and stability of LHCAF can be therefore guaranteed as long as the filtering parameters satisfy certain conditions. The theoretical results based on the MSD are supported by the simulations. In addition, a variable scaling factor and step-size LHCAF (VSS-LHCAF) is proposed to improve the filtering accuracy of LHCAF further. The proposed LHCAF and VSS-LHCAF are superior to HCAF and other robust adaptive filters in terms of filtering accuracy and stability.

Research Area(s)

  • Convergence, hyperbolic function, robust adap-tive filter, stability, steady-state analysis

Citation Format(s)

Logarithmic Hyperbolic Cosine Adaptive Filter and Its Performance Analysis. / Shiyuan Wang; Wenyue Wang; Kui Xiong et al.

In: IEEE Transactions on Systems, Man, and Cybernetics: Systems, Vol. 51, No. 4, 8721546, 04.2021, p. 2512-2524.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review