scholarly journals Nonstationary Gabor frames - approximately dual frames and reconstruction errors

2014 ◽  
Vol 41 (2) ◽  
pp. 293-316 ◽  
Author(s):  
Monika Dörfler ◽  
Ewa Matusiak
Keyword(s):  
Gabor Frames ◽  
Dual Frames ◽  
Nonstationary Gabor Frames

scholarly journals Nonlinear approximation with nonstationary Gabor frames

2017 ◽  
Vol 44 (4) ◽  
pp. 1183-1203 ◽  
Author(s):  
Emil Solsbæk Ottosen ◽  
Morten Nielsen
Keyword(s):  
Nonlinear Approximation ◽  
Gabor Frames ◽  
Nonstationary Gabor Frames

scholarly journals A Phase Vocoder Based on Nonstationary Gabor Frames

2017 ◽  
Vol 25 (11) ◽  
pp. 2199-2208 ◽  
Author(s):  
Emil Solsbaek Ottosen ◽  
Monika Dorfler
Keyword(s):  
Gabor Frames ◽  
Nonstationary Gabor Frames

scholarly journals Theory, implementation and applications of nonstationary Gabor frames

2011 ◽  
Vol 236 (6) ◽  
pp. 1481-1496 ◽  
Author(s):  
P. Balazs ◽  
M. Dörfler ◽  
F. Jaillet ◽  
N. Holighaus ◽  
G. Velasco
Keyword(s):  
Gabor Frames ◽  
Nonstationary Gabor Frames

DUAL PAIRS OF GABOR FRAMES FOR TRIGONOMETRIC GENERATORS WITHOUT THE PARTITION OF UNITY PROPERTY

2011 ◽  
Vol 04 (04) ◽  
pp. 589-603 ◽  
Author(s):  
O. Christensen ◽  
Mads Sielemann Jakobsen
Keyword(s):  
Hilbert Spaces ◽  
Partition Of Unity ◽  
Frame Theory ◽  
Gabor Frames ◽  
Series Expansions ◽  
Dual Frames ◽  
Dual Pairs ◽  
Orthonormal Bases ◽  
Explicit Constructions

Frames is a strong tool to obtain series expansions in Hilbert spaces under less restrictive conditions than imposed by orthonormal bases. In order to apply frame theory it is necessary to construct a pair of so called dual frames. The goal of the article is to provide explicit constructions of dual pairs of frames having Gabor structure. Unlike the results presented in the literature we do not base the constructions on a generator satisfying the partition of unity constraint.

Partial Gabor frames and dual frames

2021 ◽  
pp. 2150035
Author(s):  
Yu Tian ◽  
Hui-Fang Jia ◽  
Guo-Liang He
Keyword(s):  
Density Theorem ◽  
Gabor Frame ◽  
Gabor Frames ◽  
Dual Frame ◽  
Gabor System ◽  
Dual Frames ◽  
Gabor Systems

The theory of Gabor frames has been extensively investigated. This paper addresses partial Gabor systems. We introduce the concepts of partial Gabor system, frame and dual frame. We present some conditions for a partial Gabor system to be a partial Gabor frame, and using these conditions, we characterize partial dual frames. We also give some examples. It is noteworthy that the density theorem does not hold for general partial Gabor systems.

Nonstationary Gabor frames for

2019 ◽  
Vol 42 (5) ◽  
pp. 1335-1351 ◽  
Author(s):  
Qiaofang Lian
Keyword(s):  
Gabor Frames ◽  
Nonstationary Gabor Frames
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