Robust adaptive filtering algorithms based on (inverse)hyperbolic sine function

Sihai Guan, Qing Cheng, Yong Zhao, Bharat Biswal

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Recently, adaptive filtering algorithms were designed using hyperbolic functions, such as hyperbolic cosine and tangent function. However, most of those algorithms have few parameters that need to be set, and the adaptive estimation accuracy and convergence performance can be improved further. More importantly, the hyperbolic sine function has not been discussed. In this paper, a family of adaptive filtering algorithms is proposed using hyperbolic sine function (HSF) and inverse hyperbolic sine function (IHSF) function. Specifically, development of a robust adaptive filtering algorithm based on HSF, and extend the HSF algorithm to another novel adaptive filtering algorithm based on IHSF; then continue to analyze the computational complexity for HSF and IHSF; finally, validation of the analyses and superiority of the proposed algorithm via simulations. The HSF and IHSF algorithms can attain superior steady-state performance and stronger robustness in impulsive interference than several existing algorithms for different system identification scenarios, under Gaussian noise and impulsive interference, demonstrate the superior performance achieved by HSF and IHSF over existing adaptive filtering algorithms with different hyperbolic functions.

Original languageEnglish (US)
Article numbere0258155
JournalPloS one
Issue number10 October
StatePublished - Oct 2021

All Science Journal Classification (ASJC) codes

  • General


Dive into the research topics of 'Robust adaptive filtering algorithms based on (inverse)hyperbolic sine function'. Together they form a unique fingerprint.

Cite this