S Transform
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High Quality Content by WIKIPEDIA articles! In mathematics, the S transform usually refers to the Laplace transform. However, S transform as a time frequency distribution was developed in 1994 for analyzing geophysics data. In this way, the S transform is a generalization of the Short-time Fourier transform, extending the Continuous wavelet transform and overcoming some of its disadvantages. For one, modulation sinusoids are fixed with respect to the time axis; this localizes the scalable Gaussian window dilations and translations in S transform. Moreover, the S transform doesn't have a cross-...
High Quality Content by WIKIPEDIA articles! In mathematics, the S transform usually refers to the Laplace transform. However, S transform as a time frequency distribution was developed in 1994 for analyzing geophysics data. In this way, the S transform is a generalization of the Short-time Fourier transform, extending the Continuous wavelet transform and overcoming some of its disadvantages. For one, modulation sinusoids are fixed with respect to the time axis; this localizes the scalable Gaussian window dilations and translations in S transform. Moreover, the S transform doesn't have a cross-term problem and yields a better signal clarity than Gabor transform. However, the S transform has its own disadvantages: it requires higher complexity computation (because FFT can't be used), and the clarity is worse than Wigner distribution function and Cohen's class distribution function.
