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Generalized fractional S-transform and its application to discriminate environmental background acoustic noise signals

  • Acoustic Ecology. Noise and Vibration
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Abstract

We propose a modification of S-transform (ST) by changing the kernel of Fourier transform (FT) with that of fractional Fourier transform (FRFT) and call it generalized fractional ST (GFST). The FRFT is a generalization of FT and it has been shown more useful than the FT for signals with changing frequencies such as chirp signals. The proposed GFST is applied to analyze and classify different environmental background sound mixed with speech signal in the form of additive noise. The simulation results demonstrate that Euclidean distance between the feature vectors computed from generalized fractional ST corresponding to different background noise is increased as compared to ST for the same set of feature vectors and signals.

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References

  1. S. Chu, S. Narayanan, and C. C. Jay Kuo, IEEE Trans. Audio, Speech Lang. Proc. 6(17), (2009).

  2. J. Yang, in Proc. 6th Int. Conf. on Information Tech.: New Generation, 2009.

    Google Scholar 

  3. M. A. Sobreira-Seoane, A. R. Molares, and J. L. Alba Castro, Proc. Conf. “Acoustics-08,” Paris, June 29–July 4, 2008.

    Google Scholar 

  4. F. Hlawatsch and G. F. Bourdeaux-Bartels, IEEE Signal Proc. Mag. 9(2), 21 (1992).

    Article  ADS  Google Scholar 

  5. M. R. Portnoff, IEEE Trans. Acoust., Speech, Signal Proc. 28(1), 55 (1980).

    Article  MATH  Google Scholar 

  6. L. Cohen, Proc. IEEE 77, 941 (1989).

    Article  ADS  Google Scholar 

  7. S. Mallat, A Wavelet Tour of Signal Processing (Academic, London, 1998).

    MATH  Google Scholar 

  8. R. G. Stockwell, L. Mansinha, and P. Lowe, IEEE Trans. Signal Proc. 44, 998 (1996).

    Article  ADS  Google Scholar 

  9. R. G. Stockwell, PhD Thesis (Univ. Western Ontario, Canada, 1999).

  10. C. R. Pinnegar and L. Mansinha, Geophysics 68, 381 (2003).

    Article  ADS  Google Scholar 

  11. C. R. Pinnegar and L. Mansinha, SIAM J. Sci. Comput. 24, 1678 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  12. C. R. Pinnegar and L. Mansinha, ELSEVIER J. Signal Proc. 84, 1167 (2004).

    Article  MATH  Google Scholar 

  13. I. Ya. Chebotareva, Acoust. Phys. 57, 857 (2011).

    Article  ADS  Google Scholar 

  14. A. S. Ivanenkov, A. A. Rodionov, and V. I. Turchin, Acoust. Phys. 59, 179 (2013).

    Article  ADS  Google Scholar 

  15. J. Namias, J. Inst. Math. Appl. 25, 241 (1980).

    Article  MATH  MathSciNet  Google Scholar 

  16. A. McBride and F. Kerr, IMA J. Appl. Mat. 39, 159 (1987).

    Article  MATH  MathSciNet  Google Scholar 

  17. L. Almeida, IEEE Trans. Signal Proc. 42, 3084 (1994).

    Article  ADS  Google Scholar 

  18. H. Ozaktas, Z. Zalevsky, and M. Kutay, in The Fractional Fourier Transform with Applications in Optics and Signal Processing (Wiley, Chichester, 2001), pp. 99–107.

    Google Scholar 

  19. H. Ozaktas, O. Arikan, M. Kutay, and G. Bozdag, IEEE Trans. Signal Proc. 44, 2141 (1996).

    Article  ADS  Google Scholar 

  20. D. Jhanwar, K. Sharma Kamlesh, S. G. Modani, in Proc. ICCOS, Coimbatore, India, March 17–18, 2011, pp. 689–694.

  21. T. M. Cover and P. E. Hart, IEEE Trans. Inform. Theory 13, 21 (1967).

    Article  MATH  Google Scholar 

  22. V. Peltonen, MS Thesis (Tampere Univ. of Techno, Tampere, Finland, 2001).

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Authors and Affiliations

  1. Govt Engineering College Ajmer, Badliya Chauraha, Ajmer, 305001, India

    D. Jhanwar

  2. Malaviya National Institute of Technology, J.L.N. Marg, Jaipur, India

    K. K. Sharma & S. G. Modani

Authors
  1. D. Jhanwar
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  2. K. K. Sharma
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  3. S. G. Modani
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Correspondence to D. Jhanwar.

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Jhanwar, D., Sharma, K.K. & Modani, S.G. Generalized fractional S-transform and its application to discriminate environmental background acoustic noise signals. Acoust. Phys. 60, 466–473 (2014). https://doi.org/10.1134/S1063771014040058

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  • DOI: https://doi.org/10.1134/S1063771014040058

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