Continuous Inversion Formulas for Multi-Dimensional Stockwell Transforms
Luigi Riba, Man Wah Wong · Mathematical Modelling of Natural Phenomena · 2013
Stockwell transforms as hybrids of Gabor transforms and wavelet transforms have been studied extensively. We introduce in this paper multi-dimensional Stockwell transforms that include multi-dimensional Gabor transforms as special cases. Continuous inversion formulas for multi-dimensional Stockwell transforms are proved.