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Analysis of speech signals’ characteristics based on MF-DFA with moving overlapping windows

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  • Zhao, Huan
  • He, Shaofang

Abstract

In this paper, multi-fractal characteristics of speech signals are analyzed based on MF-DFA, and it is found that the multi-fractal features are influenced greatly by frame length and noise, besides, there is a little difference between them among speech frames. Secondly, motivated by framing and using frame shift to ensure the continuity and smooth transition of speech in speech signals processing, an advanced MF-DFA (MF-DFA with forward moving overlapping windows) is proposed. The length of moving overlapping windows is determined by parameter θ. Given the value of time scale s, we have MF-DFA with the maximum moving overlapping windows and MF-DFA with half overlapping windows when θ=1/s and θ=1/2 respectively. Moreover, when θ=1 we exactly have MF-DFA. Numerical experiments and analysis illustrate that the multi-fractal characteristics based on AMF-DFA outperform MF-DFA and MF-DMA in stability, noise immunity and discrimination.

Suggested Citation

  • Zhao, Huan & He, Shaofang, 2016. "Analysis of speech signals’ characteristics based on MF-DFA with moving overlapping windows," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 343-349.
    • Handle: RePEc:eee:phsmap:v:442:y:2016:i:c:p:343-349
    DOI: 10.1016/j.physa.2015.09.033
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    References listed on IDEAS

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    1. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    2. Gao-Feng Gu & Wei-Xing Zhou, 2010. "Detrending moving average algorithm for multifractals," Papers 1005.0877, arXiv.org, revised Jun 2010.
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    Cited by:

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