Results 1 to 10 of about 272 (116)
Tight Frame Completions with Prescribed Norms [PDF]
Sampling Theory in Signal and Information Processing, 2008 Let $\hil$ be a finite dimensional (real or complex) Hilbert space and let $\{a_i\}_{i=1}^\infty$ be a non-increasing sequence of positive numbers. Given a finite sequence of vectors $\f$ in $\hil$ we find necessary and sufficient conditions for the existence of $r\in \NN\cup\{\infty\}$ and a Bessel sequence $\g$ in $\hil$ such that $\cF\cup\cG$ is a ...
Pedro Massey
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Scalable g-frame in Hilbert spaces [PDF]
Mathematics and Computational Sciences, 2023 Tight frames and g-frames are extremely useful in applications. A scalable frame was recentlyintroduced as a frame with the property of generating a tight frame by rescaling its frame vectors.
Amir Khosravi, Mohammad Reza Farmani
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Advances in Computational Mathematics, 2013 We introduce a class of finite tight frames called prime tight frames and prove some of their elementary properties. In particular, we show that any finite tight frame can be written as a union of prime tight frames. We then characterize all prime harmonic tight frames and use this characterization to suggest effective analysis and synthesis ...
Jakob Lemvig +2 more
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Tight Frames and Their Symmetries [PDF]
Constructive Approximation, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vale, Richard, Waldron, Shayne
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On the Volume of Sections of the Cube
Analysis and Geometry in Metric Spaces, 2021 We study the properties of the maximal volume k-dimensional sections of the n-dimensional cube [−1, 1]n. We obtain a first order necessary condition for a k-dimensional subspace to be a local maximizer of the volume of such sections, which we formulate ...
Ivanov Grigory, Tsiutsiurupa Igor
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Tight Reference Frame–Independent Quantum Teleportation [PDF]
Electronic Proceedings in Theoretical Computer Science, 2017 We give a tight scheme for teleporting a quantum state between two parties whose reference frames are misaligned by an action of a finite symmetry group.
Dominic Verdon, Jamie Vicary
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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.
Dustin G. Mixon +3 more
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Supervised dual tight frame learning with deep thresholding network for phase retrieval
IET Image Processing, 2022 Data‐driven tight frames are popular for solving imaging inverse problems. However, the imaging quality is limited by the representation ability of single tight frame and thresholds tuned manually.
Baoshun Shi, Qiusheng Lian, Yueming Su
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Estimation of q for ℓ q $\ell _{q}$ -minimization in signal recovery with tight frame
Journal of Inequalities and Applications, 2023 This study aims to reconstruct signals that are sparse with a tight frame from undersampled data by using the ℓ q $\ell _{q}$ -minimization method. This problem can be cast as a ℓ q $\ell _{q}$ -minimization problem with a tight frame subjected to an ...
Kaihao Liang +2 more
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Unitary extension principle on zero-dimensional locally compact groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 In this article, we obtain methods for constructing step tight frames on an arbitrary locally compact zero-dimensional group. To do this, we use the principle of unitary extension.
Lukomskii, Sergei Feodorovich +1 more
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