Study of ADZT properties for spectral analysis

  • Authors:

  • Vaclav Turon;Jan Janik;Radim Spetik;Pavel Sovka;Miroslav Vlcek

  • Affiliations:

  • Czech Technical University in Prague, Faculty of Electrical Engineering, Department of Circuit Theory, Prague 6, Czech Republic;Czech Technical University in Prague, Faculty of Electrical Engineering, Department of Circuit Theory, Prague 6, Czech Republic;Czech Technical University in Prague, Faculty of Electrical Engineering, Department of Circuit Theory, Prague 6, Czech Republic;Czech Technical University in Prague, Faculty of Electrical Engineering, Department of Circuit Theory, Prague 6, Czech Republic;Czech Technical University in Prague, Faculty of Transportation Sciences, Department of Applied Mathematics, Prague 1, Czech Republic

  • Venue:
  • GAVTASC'11 Proceedings of the 11th WSEAS international conference on Signal processing, computational geometry and artificial vision, and Proceedings of the 11th WSEAS international conference on Systems theory and scientific computation
  • Year:
  • 2011

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Abstract

In this paper we present a new time-frequency transform called the Approximate Discrete Zolotarev Transform (ADZT), and demonstrate its efficacy in analysing non-stationary signals. Several experiments have confirmed two main properties of ADZT: i) in contrast to the Short-Time Fourier Transform (STFT) or theWavelet Transform (WT), the choice of window type and length are not critical; and ii) the similarity between ADZT and the Fourier transform (FT) implies a simple physical interpretation of results in contrast to Wigner-Ville timefrequency distribution (WVD) or Choi-Williams time-frequency distribution (CWD).