Article ID Journal Published Year Pages File Type
4629104 Applied Mathematics and Computation 2013 6 Pages PDF
Abstract

The structure of the range of Stockwell transforms for a signal from L2(R)L2(R) is obtained using the Vasilevski scheme. The paper completes the full picture of structural results for the four commonly used transforms of signal analysis: continuous wavelet transform, short-time Fourier transform, continuous shearlet transform and the Stockwell transform. Applications of this new characterization are discussed in connection with time–frequency signal localization.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
Authors
,