Results 21 to 30 of about 86,604 (155)
K-g-fusion frames in Hilbert spaces
Journal of Inequalities and Applications, 2020 K-g-fusion frames are generalizations of fusion frames, K-fusion frames and g-fusion frames. In this paper, we present some new characterizations of K-g-fusion frames and tight K-g-fusion frames, and give several properties of K-g-fusion frames by means ...
Yongdong Huang, Yuanyuan Yang
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Perturbations on K-fusion frames [PDF]
Journal of Applied Analysis, 2021 Abstract Fusion frames are widely studied for their applications in recovering signals from large data. These are proved to be very useful in many areas, for example, wireless sensor networks. In this paper, we discuss a generalization of fusion frames, K-fusion frames.
Animesh Bhandari, Saikat Mukherjee
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Filter Bank Fusion Frames [PDF]
IEEE Transactions on Signal Processing, 2011 In this paper we characterize and construct novel oversampled filter banks implementing fusion frames. A fusion frame is a sequence of orthogonal projection operators whose sum can be inverted in a numerically stable way. When properly designed, fusion frames can provide redundant encodings of signals which are optimally robust against certain types of
Chebira, Amina +2 more
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Approximate Duals of $g$-frames and Fusion Frames in Hilbert $C^ast-$modules [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we study approximate duals of $g$-frames and fusion frames in Hilbert $C^ast-$modules. We get some relations between approximate duals of $g$-frames and biorthogonal Bessel sequences, and using these relations, some results for approximate
Morteza Mirzaee Azandaryani
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Woven K-g-Fusion Frames in Hilbert C∗-Modules
European Journal of Mathematical Analysis, 2023 In this paper, we introduced the notion of woven K-g-fusion frames in Hilbert C∗-modules. We present necessary and sufficient conditions for these woven and also construct them by linear bounded operator.
Fakhr-dine Nhari, Mohamed Rossafi
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Generalized atomic subspaces for operators in Hilbert spaces [PDF]
Mathematica Bohemica, 2022 We introduce the notion of a $g$-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory of $g$-fusion frames.
Prasenjit Ghosh, Tapas Kumar Samanta
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WEIGHTED RIESZ BASES IN G-FUSION FRAMES AND THEIR PERTURBATION
Проблемы анализа, 2020 In this paper, we introduce orthonormal and Riesz bases for g-fusion frames and show that the weights have basic roles. Next, we prove an effective theorem between frames and g-fusion frames by using an operator. Finally, perturbations of g-fusion frames
Gh. Rahimlou, V. Sadri, R. Ahmadi
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On the duality of frames and fusion frames
Hacettepe Journal of Mathematics and Statistics, 2017 Optimal frame bounds play a key role in many applications of frame theory, such as filter banks. In this paper, we study the relation between the bounds of a frame and its alternate dual and then present some approach to construct a family of Parseval frames. Also, we survey some problems on duals of fusion frames.
AREFİJAMAAL, Ali Akbar +2 more
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SOME IDENTITIES AND INEQUALITIES FOR G-FUSION FRAMES
Проблемы анализа, 2020 G-fusion frames, which are obtained from the combination of g-frames and fusion frames, were recently introduced for Hilbert spaces. In this paper, we present a new identity for gframes, which was given by Najati for a special case.
R. Zarghami Farfar, V. Sadri, R. Ahmadi
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Night Vision Anti-Halation Method Based on Infrared and Visible Video Fusion
Sensors, 2022 In order to address the discontinuity caused by the direct application of the infrared and visible image fusion anti-halation method to a video, an efficient night vision anti-halation method based on video fusion is proposed.
Quanmin Guo, Hanlei Wang, Jianhua Yang
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