An adaptive resolution computationally efficient short-time Fourier transform

  • Authors:
  • Saeed Mian Qaisar;Laurent Fesquet;Marc Renaudin

  • Affiliations:
  • TIMA, CNRS UMR 5159, Grenoble Cedex, France;TIMA, CNRS UMR 5159, Grenoble Cedex, France;TIMA, CNRS UMR 5159, Grenoble Cedex, France

  • Venue:
  • Research Letters in Signal Processing
  • Year:
  • 2008

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Abstract

The short-time Fourier transform (STFT) is a classical tool, used for characterizing the time varying signals. The limitation of the STFT is its fixed time-frequency resolution. Thus, an enhanced version of the STFT, which is based on the cross-level sampling, is devised. It can adapt the sampling frequency and the window function length by following the input signal local characteristics. Therefore, it provides an adaptive resolution time-frequency representation of the input signal. The computational complexity of the proposed STFT is deduced and compared to the classical one. The results show a significant gain of the computational efficiency and hence of the processing power.