Name
Abstract | ||
|---|---|---|
We analyze the time-frequency concentration of the Gabor orthonormal basis G(f, 1, 1) constructed by Hoholdt, Jensen, and Justesen. We prove that their window function f has near optimal time and frequency localization with respect to a nonsymmetric version of the Balian-Low theorem. In particular, we show that if (p, q) = (3/2, 3), then integral | t|(p-epsilon)| f( t)|(2)dt < infinity and integral |gamma|(q-epsilon)| <(f)over cap>(gamma)| (2)d gamma < infinity, for 0 < epsilon <= 3/2, but that both integrals are infinite if epsilon = 0. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1137/050634104 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
Gabor analysis,Balian-Low theorem,time-frequency analysis | Uncertainty principle,Mathematical analysis,Orthonormal basis,Balian–Low theorem,Mathematics,Window function | Journal |
Volume | Issue | ISSN |
38 | 1 | 0036-1410 |
Citations | PageRank | References |
1 | 0.44 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| John J. Benedetto | 1 | 132 | 16.90 |
| Wojciech Czaja | 2 | 29 | 6.05 |
| Alexander M. Powell | 3 | 46 | 3.60 |
| martyn p powell | 4 | 1 | 0.44 |