Wavelet-scalogram based study of non-periodicity in speech signals as a complementary measure of chaotic content

  • Authors:
  • M. Hesham

  • Affiliations:
  • Eng. Math & Physics Dept., Faculty of Engineering, Cairo University, Giza, Egypt 12613

  • Venue:
  • International Journal of Speech Technology
  • Year:
  • 2013

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Abstract

In recent studies, the chaotic behavior of a signal is confirmed using scalogram analysis of continuous-wavelet transform. Chaotic component of a speech signal can be verified through scalogram analysis, since, it investigates the periodicity content of a signal. The periodicity analysis helps in proving that a signal is not periodic, which is an essential condition on chaotic activity. In this work, a scale-index based on scalogram-analysis is calculated for a set of recordings of Arabic vowels. Also, Largest-Lyapunov Exponents (LLE) are computed for these recordings. The obtained measures are, then, compared. The comparison proves the efficacy of scale index for confirming chaotic behavior even for highly-periodic waveforms which is the case in speech vowels. Additionally, it is noted that both LLE and scale-index exhibit classification ability for Arabic vowels.