Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419174 | Journal of Mathematical Analysis and Applications | 2013 | 8 Pages |
Abstract
A directionally sensitive variant of the short-time Fourier transform is introduced which sends functions on Rn to those on the parameter space Snâ1ÃRÃRn. This transform, which is named directional short-time Fourier transform (DSTFT), uses functions in Lâ(R) as window and is related to the celebrated Radon transform. We establish an orthogonality relation for the DSTFT and explore some operator-theoretic aspects of the transform, mostly in terms of proving a variant of the Hausdorff-Young inequality. The paper is concluded by some reconstruction formulas.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hossein Hosseini Giv,