Results 21 to 30 of about 236,630 (266)
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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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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On representation of Parseval frames
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011 This paper investigates properties of Parseval frames in finite dimensional vector spaces, namely, the possibility of representing some frames as sums of others.
Igor S Ryabtsov
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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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Equal-norm Parseval K-frames in Hilbert spaces with a new inequality
Journal of Inequalities and Applications, 2022 The focus of this paper is mainly on the frames of operators or K-frames on Hilbert spaces in Parseval cases. Since equal-norm tight frames play an important role for transmitting robust data, we aim to study this topic on Parseval K-frames. We find that
Vahid Sadri, Gholamreza Rahimlou
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Fingerprinting With Equiangular Tight Frames [PDF]
IEEE Transactions on Information Theory, 2013 Digital fingerprinting is a framework for marking media files, such as images, music, or movies, with user-specific signatures to deter illegal distribution. Multiple users can collude to produce a forgery that can potentially overcome a fingerprinting system.
Mixon, Dustin G. +3 more
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Tight Frame with Hahn and Krawtchouk Polynomials of Several Variables [PDF]
, 2014 Finite tight frames for polynomial subspaces are constructed using monic Hahn polynomials and Krawtchouk polynomials of several variables. Based on these polynomial frames, two methods for constructing tight frames for the Euclidean spaces are designed ...
Xu, Yuan
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On R-duals and the duality principle in Gabor analysis [PDF]
, 2014 The concept of R-duals of a frame was introduced by Casazza, Kutyniok and Lammers in 2004, with the motivation to obtain a general version of the duality principle in Gabor analysis.
AJEM Janssen +13 more
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Symmetry Feature and Construction for the 3-Band Tight Framelets with Prescribed Properties
Journal of Applied Mathematics, 2012 A construction approach for the 3-band tight wavelet frames by factorization of paraunitary matrix is developed. Several necessary constraints on the filter lengths and symmetric features of wavelet frames are investigated starting at the constructed ...
Jianjun Sun +3 more
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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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