Results 21 to 30 of about 66,358 (264)
Journal of Fourier Analysis and Applications, 2011 We introduce probabilistic frames to study finite frames whose elements are chosen at random. While finite tight frames generalize orthonormal bases by allowing redundancy, independent, uniformly distributed points on the sphere approximately form a finite unit norm tight frame (FUNTF).
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Applied and Computational Harmonic Analysis, 2013 Fusion frames enable signal decompositions into weighted linear subspace components. For positive integers p, we introduce p-fusion frames, a sharpening of the notion of fusion frames. Tight p-fusion frames are closely related to the classical notions of designs and cubature formulas in Grassmann spaces and are analyzed with methods from harmonic ...
Bachoc, Christine, Ehler, Martin
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Equichordal Tight Fusion Frames
Indian Journal of Pure and Applied Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammadpour, Mozhgan +2 more
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Uniform tight frames as optimal signals [PDF]
Advances in Applied Mathematics, 2021 14 pages.
Gergely Ambrus +2 more
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Fractional-Order Variational Image Fusion and Denoising Based on Data-Driven Tight Frame
Mathematics, 2023 Multi-modal image fusion can provide more image information, which improves the image quality for subsequent image processing tasks. Because the images acquired using photon counting devices always suffer from Poisson noise, this paper proposes a new ...
Ru Zhao, Jingjing Liu
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Tight K-g-Frame and Its Novel Characterizations via Atomic Systems
Advances in Mathematical Physics, 2016 K-g-frame is a generalization of g-frame. We generalize the tight g-frame to K-g-frame via atomic systems. In this paper, the definition of tight K-g-frame is put forward; equivalent characterizations and necessary conditions of tight K-g-frame are given.
Yongdong Huang, Dingli Hua
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Incoherent and Robust Projection Matrix Design Based on Equiangular Tight Frame
IEEE Access, 2021 Designing a projection matrix to optimally select the informative samples from high-dimensional data is a challenging task. Several approaches have been proposed for this task, however conventional methods obtain the projection matrix from the ...
Meenakshi, Seshan Srirangarajan
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Perturbations of Compressed Data Separation With Redundant Tight Frames
IEEE Access, 2018 In the era of big data, the multi-modal data can be seen everywhere. Research on such data has attracted extensive attention in the past few years. In this paper, we investigate the perturbations of compressed data separation with redundant tight frames ...
Feng Zhang +4 more
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Equiangular Tight Frames From Hyperovals [PDF]
IEEE Transactions on Information Theory, 2016 An equiangular tight frame (ETF) is a set of equal norm vectors in a Euclidean space whose coherence is as small as possible, equaling the Welch bound. Also known as Welch-bound-equality sequences, such frames arise in various applications, such as waveform design, quantum information theory, compressed sensing and algebraic coding theory. ETFs seem to
Matthew Fickus +2 more
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Optimal tight frames and quantum measurement [PDF]
IEEE Transactions on Information Theory, 2002 Submitted to IEEE Transactions on Information Theory.
Yonina C. Eldar, G. David Forney Jr.
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