Results 11 to 20 of about 30,913 (261)
A Brief Survey of the Graph Wavelet Frame
Complexity, 2022 In recent years, the research of wavelet frames on the graph has become a hot topic in harmonic analysis. In this paper, we mainly introduce the relevant knowledge of the wavelet frames on the graph, including relevant concepts, construction methods, and
Jie Zhou, Zeze Zhang
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Hadamard equiangular tight frames
Applied and Computational Harmonic Analysis, 2021 An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. They are often represented as the columns of a short, fat matrix. In certain applications we want this matrix to be flat, that is, have the property that all of its entries have modulus one.
Matthew Fickus +3 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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Mutually Unbiased Equiangular Tight Frames [PDF]
IEEE Transactions on Information Theory, 2021 An equiangular tight frame (ETF) yields a type of optimal packing of lines in a Euclidean space. ETFs seem to be rare, and all known infinite families of them arise from some type of combinatorial design. In this paper, we introduce a new method for constructing ETFs.
Matthew Fickus, Benjamin R. Mayo
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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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Lapped Tight Frame Transforms [PDF]
2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07, 2007 We propose a new class of equal-norm tight frames termed lapped tight frame transforms (LTFTs). These can be seen as a redundant counterpart to bases known as lapped orthogonal transforms (LOTs) introduced by Malvar and Cassereau, as well as an infinite-dimensional counterpart to harmonic tight frames (HTFs).
Amina Chebira, Jelena Kovacevic
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On the Search for Tight Frames of Low Coherence [PDF]
Journal of Fourier Analysis and Applications, 2020 26 ...
Xuemei Chen +2 more
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Tremain equiangular tight frames [PDF]
Journal of Combinatorial Theory, Series A, 2018 11 ...
Matthew Fickus +3 more
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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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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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