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Localization of the complex spectrum: the S transform

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3 Author(s)
Stockwell, R.G. ; Dept. of Phys., Univ. of Western Ontario, London, Ont., Canada ; Mansinha, L. ; Lowe, R.P.

The S transform, which is introduced in the present correspondence, is an extension of the ideas of the continuous wavelet transform (CWT) and is based on a moving and scalable localizing Gaussian window. It is shown to have some desirable characteristics that are absent in the continuous wavelet transform. The S transform is unique in that it provides frequency-dependent resolution while maintaining a direct relationship with the Fourier spectrum. These advantages of the S transform are due to the fact that the modulating sinusoids are fixed with respect to the time axis, whereas the localizing scalable Gaussian window dilates and translates

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Signal Processing, IEEE Transactions on  (Volume:44 ,  Issue: 4 )