| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4605143 | Applied and Computational Harmonic Analysis | 2013 | 7 Pages |
Abstract
We consider the Gabor system G(g,α,β)={e2πiβntg(t−αm):m,n∈Z} for the case of rational oversampling, i.e. αβ∈Q and prove that for any odd window function g this system does not form a frame if , n=2,3,… . We also construct a ‘rational’ analogue of the Ron–Shen Gramian.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
