Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4629104 | Applied Mathematics and Computation | 2013 | 6 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mária Hutníková,