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The S-transform using a new window to improve frequency and time resolutions

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Abstract

The S-transform presents arbitrary time series as localized invertible time–frequency spectra. This transformation improves the short-time Fourier transform and the wavelet transform by merging the multiresolution and frequency-dependent analysis properties of wavelet transform with the absolute phase retaining of Fourier transform. The generalized S-transform utilizes a combination of a Fourier transform kernel and a scalable-sliding window. The common S-transform applies a Gaussian window to provide appropriate time and frequency resolution and minimizes the product of these resolutions. However, the Gaussian S-transform is unable to obtain uniform time and frequency resolution for all frequency components. In this paper, a novel window based on the \(t\) student distribution is proposed for the S-transform to achieve a more uniform resolution. Simulation results show that the S-transform with the proposed window provides in comparison with the Gaussian window a more uniform resolution for the entire time and frequency range. The result is suitable for applications such as spectrum sensing.

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Authors and Affiliations

  1. Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran

    Kamran Kazemi, Mohammadreza Amirian & Mohammad Javad Dehghani

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  1. Kamran Kazemi
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  2. Mohammadreza Amirian
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  3. Mohammad Javad Dehghani
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Correspondence to Kamran Kazemi.

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Kazemi, K., Amirian, M. & Dehghani, M.J. The S-transform using a new window to improve frequency and time resolutions. SIViP 8, 533–541 (2014). https://doi.org/10.1007/s11760-013-0551-1

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  • DOI: https://doi.org/10.1007/s11760-013-0551-1

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