𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Functional Gabor frame multipliers

✍ Scribed by Qing Gu; Deguang Han

Publisher
Springer-Verlag
Year
2003
Tongue
English
Weight
626 KB
Volume
13
Category
Article
ISSN
1050-6926

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Density of Gabor Frames
Density of Gabor Frames
✍ Ole Christensen; Baiqiao Deng; Christopher Heil πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 125 KB

A Gabor system is a set of time-frequency shifts S(g, ) = {e 2Ο€ibx g(xa)} (a,b)∈ of a function g ∈ L 2 (R d ). We prove that if a finite union of Gabor systems r k=1 S(g k , k ) forms a frame for L 2 (R d ) then the lower and upper Beurling densities of = r k=1 k satisfy D -( ) β‰₯ 1 and D + ( ) < ∞.

Irregular wavelet/Gabor frames
Irregular wavelet/Gabor frames
✍ Wenchang Sun; Xingwei Zhou πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 150 KB

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

Excesses of Gabor frames
Excesses of Gabor frames
✍ Radu Balan; Peter G. Casazza; Christopher Heil; Zeph Landau πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 186 KB

A Gabor system for L 2 (R d ) has the form G(g, Ξ›) = {e 2Ο€ibx g(xa)} (a,b)βˆˆΞ› , where g ∈ L 2 (R d ) and Ξ› is a sequence of points in R 2d . We prove that, with only a mild restriction on the generator g and for nearly arbitrary sets of time-frequency shifts Ξ›, an overcomplete Gabor frame has infinit