Results 231 to 240 of about 66,358 (264)

Localized Tight Frames on Spheres

SIAM Journal on Mathematical Analysis, 2006
In this paper we wish to present a new class of tight frames on the sphere. These frames have excellent pointwise localization and approximation properties. These properties are based on pointwise localization of kernels arising in the spectral calculus for certain self-adjoint operators, and on a positive-weight quadrature formula for the sphere that ...
Francis J. Narcowich, Pencho Petrushev, Joseph D. Ward   +2 more
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Tight Frame Wavelets, their Dimension Functions, MRA Tight Frame Wavelets and Connectivity Properties

Advances in Computational Mathematics, 2003
We study the set of tight frame wavelets, and characterize its various important subsets. For example, we prove that a TFW is an MRA TFW if and only if its dimension function is either zero or one. We also prove that the set of MSF TFW-s is connected.
Maciej Paluszynski, Hrvoje Sikic, Guido Weiss, Shaoliang Xiao   +3 more
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Equal-Norm Tight Frames with Erasures

Advances in Computational Mathematics, 2003
Given a Hilbert space \(H\), a collection \(\{e_i: i \in I \} \subset H\) is called a frame if there exist constants \(A, B>0\) such that for all \(f\in H\): \[ A \| f\| ^2 \leq \sum_{i \in I} | \langle f, e_i \rangle | ^2 \leq B \| f\| ^2. \] When \(A=B\) we say that the frame is tight. When all elements \(e_i\) have the same norm, we say the frame is
Peter G. Casazza, Jelena Kovacevic
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Construction of Tight Filter Bank Frames

2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, 2006
In this paper, we present an explicit and numerically efficient formulae to construct a tight (paraunitary) FB frame from a given un-tight (non-paraunitary) FB frame. The derivation uses the well developed techniques from modern control theory, which results in the unified formulae for generic IIR and FIR FBs.
Chai, Li, Zhang, Jingxin, Zhang, Cishen, Mosca, Edoardo   +3 more
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Maltsev equal-norm tight frames

Izvestiya: Mathematics, 2022
A frame in $\mathbb{R}^d$ is a set of $n\geqslant d$ vectors whose linear span coincides with $\mathbb{R}^d$. A frame is said to be equal-norm if the norms of all its vectors are equal. Tight frames enable one to represent vectors in $\mathbb{R}^d$ in the form closest to the representation in an orthonormal basis.
Sergey Yakovlevich Novikov, Victoria Vladimirovna Sevost'yanova   +1 more
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Equiangular tight frames

Journal of Mathematical Sciences, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Malozemov, V. N., Pevnyi, A. B.
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On p-adic tight wavelet frames

Journal of Mathematical Analysis and Applications, 2023
The authors design tight wavelet frames on the field of \(p\)-adic numbers. To this purpose, Pontryagin's principle of duality on zero-dimensional groups is exploited instead of the unitary extension principle. The most of results are formulated for an arbitrary zero-dimensional group with a mild technical restriction.
Lukomskii, S. F., Vodolazov, A. M.
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Tight frame learning for cardiovascular MRI

2013 IEEE 10th International Symposium on Biomedical Imaging, 2013
Dynamic cardiovascular MRI facilitates the assessment of the structure and function of the cardiovascular system. One of the challenges in dynamic MRI is the prolonged data acquisition time. In order to fit the data acquisition time inside the motion cycles of the imaging subject, the data must be highly undersampled.
Qiu Wang, Jun Liu 0003, Nirmal Janardhanan, Michael O. Zenge, Edgar Mueller, Mariappan S. Nadar   +5 more
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Tight wavelet frames

Doklady Mathematics, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Equiangular tight frame fingerprinting codes

2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011
We show that equiangular tight frames (ETFs) are particularly well suited as additive fingerprint designs against Gaussian averaging collusion attacks when the number of users is less than the square of the signal dimension. The detector performs a binary hypothesis test in order to decide whether a user of interest is among the colluders.
Dustin G. Mixon, Christopher J. Quinn, Negar Kiyavash, Matthew Fickus   +3 more
openaire   +1 more source