Multi-window weaving frames

Dörfler, Monika; Faulhuber, Markus

doi:10.1109/sampta.2017.8024450

Cited by 3 publications

(2 citation statements)

References 6 publications

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“…Weaving properties of generalized frames and fusion frames can be found in [9,10,21]. In [12], Dörfler and Faulhuber studied weaving Gabor frames in L 2 (R). They gave a sufficient criteria for a family of multi-window Gabor frames to be woven.…”

Section: Introductionmentioning

confidence: 99%

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Weaving K-Frames in Hilbert Spaces

Deepshikha

Vashisht

2018

Results Math

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Generalized frames (g-frames) are natural generalization of standard frames whereas generalized frames for operators (Θ-g-frames) are g-frames in which the lower frame inequality is controlled by a linear bounded operator Θ on a Hilbert space. In this article, we study weaving properties of g-frames and Θ-g-frames. We present some sufficient conditions for Θ-g-frames to be woven. It is shown that the family of Θ-g-frames obtained by applying bounded operators (whose adjoint operator is surjective) to a family of weaving Θ-g-frames is woven. A class of weaving generalized frames is established by generalized frame operator. A Paley-Weiner type perturbation result for weaving Θ-g-frames is presented. Finally, we show that weaving g-Riesz bases need not behave same as weaving ordinary Riesz bases.

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Section: Introductionmentioning

confidence: 99%

“…They gave a sufficient criteria for a family of multi-window Gabor frames to be woven. A family of localization operators related to weaving Gabor frames is also discussed in [12]. 1.3.…”

Section: Introductionmentioning

confidence: 99%

Weaving K-Frames in Hilbert Spaces

Deepshikha

Vashisht

2018

Results Math

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Vector-valued (super) weaving frames

Deepshikha

Vashisht

2018

Journal of Geometry and Physics

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Effects of permutation functions on woven and non-woven frames

Ahmadi

Askarizadeh

2023

Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

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When a signal measured by woven frames is transmitted, the order of some of these coefficients may change, resulting in undesirable signal reconstruction. In this paper, we investigate the permutations that if two frames are woven, one of the frames will be woven with a permutation of the other frame. We also examine the existence of permutations that a Riesz basis and reordered Riesz basis are woven.

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Multi-window weaving frames

Cited by 3 publications

References 6 publications

Weaving K-Frames in Hilbert Spaces

Weaving K-Frames in Hilbert Spaces

Vector-valued (super) weaving frames

Effects of permutation functions on woven and non-woven frames

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