1996/04/01 by R.G. Stockwell, R. G. Stockwell, L. Mansinha +2 · 9 citations
Computer Science · Engineering · Mathematics · #Image and Signal Denoising Methods #Machine Fault Diagnosis Techniques #Mathematical Analysis and Transform Methods
paper · doi:10.1109/78.492555
openalex publication_date 1996/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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.