Results 21 to 30 of about 2,412,507 (179)
Dual Frame Completion Problem [PDF]
In this paper we present the construction of an exact dual frame under specific structural assumptions posed on the dual frame. When given a frame $F$ for a finite dimensional Hilbert space, and a set of vectors $H$ that is assumed to be a subset of a dual frame of $F$, we answer the following question: Which dual frame $G$ for $F$ - if it exists ...
Aceska, Roza +2 more
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Supervised multi-frame dual-channel denoising enables long-term single-molecule FRET under extremely low photon budget [PDF]
Nat CommunMiao Yu +7 more
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Approximately dual pairs of wavelet frames [PDF]
Journal of Mathematical Analysis and Applications, 2022 This paper deals with structural issues concerning wavelet frames and their dual frames. It is known that there exist wavelet frames $\{a^{j/2} ( a^j\cdot -kb)\}_{j,k\in \mathbb Z}$ in $L^2(\mathbb R)$ for which no dual frame has wavelet structure. We first generalize this result by proving that there exist wavelet frames for which no approximately ...
Ana Benavente +5 more
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Population empirical likelihood estimation in dual frame surveys
, 2020 Dual frame surveys are a device to reduce the costs derived from data collection in surveys and improve coverage for the whole target population.
María del Mar Rueda +3 more
semanticscholar +1 more source
Optimal dual frames for erasures
Linear Algebra and its Applications, 2010 AbstractFor any given frame (for the purpose of encoding) in a finite dimensional Hilbert space, we investigate its dual frames that are optimal for erasures (for the purpose of decoding). We show that in general the canonical dual is not necessarily optimal. Moreover, optimal dual frames are not necessarily unique.
Lopez, Jerry, Han, Deguang
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Applied and Computational Harmonic Analysis, 2012 AbstractThe time–frequency analysis of a signal is often performed via a series expansion arising from well-localized building blocks. Typically, the building blocks are based on frames having either Gabor or wavelet structure. In order to calculate the coefficients in the series expansion, a dual frame is needed. The purpose of the present paper is to
Christensen, O., Goh, S.S.
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The dual frame induced by an invertible frame multiplier [PDF]
International Conference on Sampling Theory and Applications, 2015 The inverse of an invertible frame multiplier can be represented as a multiplier with reciprocal symbol and sequences dual to the original frames. One of the duals is unique with the property that the other one can be arbitrarily chosen, which is shown ...
Diana T. Stoeva, P. Balázs
semanticscholar +1 more source
Factor posets of frames and dual frames in finite dimensions [PDF]
Involve, a Journal of Mathematics, 2016 This work was completed during the 2012 Central Michigan University NSF-REU program ...
Berry, Kileen +6 more
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On frames, dual frames, and the duality principle [PDF]
Novi Sad Journal of Mathematics, 2015 Frames in Hilbert spaces generalize orthonormal bases and allow stable representation of all the elements of the space via a given frame and its dual frame. Frames are not only interesting from theoreti- cal point of view, but play signicant role in signal and image processing, which leads to many applications in informatics, engineering, medicine, and
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Dual earthquake resistant frames [PDF]
WIT Transactions on The Built Environment, 2009 Structural control through energy dissipation systems has been increasingly implemented internationally in recent years and has proven to be a most promising strategy for the earthquake safety of structures. In extending the “classical” approach of the capacity design for earthquake structural resistance, the integration of passive damping devices ...
Sophocleous, T. L. +3 more
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