Sufficient conditions for irregular Gabor frames
โ Scribed by Hans G. Feichtinger; Wenchang Sun
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 416 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1019-7168
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๐ SIMILAR VOLUMES
We study the construction of wavelet and Gabor frames with irregular time-scale and timefrequency parameters, respectively. We give simple and sufficient conditions which ensure an irregular discrete wavelet system or Gabor system to be a frame. Explicit frame bounds are given. We also study the sta
We show the existence of a "best approximation solution" to the set of equations f, f i = a i , i โ I, where {f i } iโI is a frame for a Hilbert space (H, โข, โข ) and {a i } iโI โ l 2 (I). We derive formulas showing how the solution changes if {a i } iโI or {f i } iโI is perturbed. We explain why the