Variable-factor S-transform for time-frequency decomposition, deconvolution, and noise attenuation

Summary The variable-factor S-transform is a new time-frequency decomposition method, which shows better focusing than the Gabor transform and the conventional S-transform. A nonstationary deconvolution method is developed, similar to Gabor deconvolution. The method is tested on a constant Q model and shows superior results over the traditional stationary Wiener deconvolution and an improvement over the Gabor deconvolution. An f-t-x noise attenuation method based on the transform is developed and a synthetic example proves its effectiveness.