Results 31 to 40 of about 912,182 (324)
Subspace mixed rational time-frequency multiwindow Gabor frames and their Gabor duals
Journal of Inequalities and Applications, 2018 For a usual multiwindow Gabor system, all windows share common time-frequency shifts. A mixed multiwindow Gabor system is one of its generalizations, for which time-frequency shifts vary with the windows.
Yan Zhang, Yun-Zhang Li
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Computation of the para-pseudoinverse for oversampled filter banks: Forward and backward Greville formulas [PDF]
, 2008 This is the author's accepted manuscript. The final published article is available from the link below. Copyright @ 2008 IEEE. Personal use of this material is permitted.
Kot, AC, Li, KH, Ling, C
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Approximate oblique dual frames
Applied Mathematics and Computation, 2023 In representations using frames, oblique duality appears in situations where the analysis and the synthesis has to be done in different subspaces. In some cases, we cannot obtain an explicit expression for the oblique duals and in others there exists only one oblique dual frame which has not the properties we need.
Diaz, Jorge Pablo +2 more
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Relay fusion frames for Hilbert spaces
Journal of Inequalities and Applications, 2019 A new notion of frames, called the relay fusion frames, for Hilbert spaces has been introduced by the authors. It provides a mathematical framework for applications that require the transmission of signals over long distances or need to expand the ...
Guoqing Hong, Pengtong Li
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Characterizations of the dilation of frame generator dual pairs for group
Journal of Inequalities and Applications, 2019 In this paper, we are interested in the dilation problem on frame generator dual pairs for a unitary representation in Hilbert spaces. We show the existence of a Riesz generator dilation dual pair of a frame generator dual pair in Hilbert spaces. Then we
Liang Li, Pengtong Li
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Observing Shape in Spacetime [PDF]
, 2014 The notion of "reference frame" is a central theoretical construct for interpreting the physical implications of spacetime diffeomorphism invariance in General Relativity.
Gryb, Sean
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Probability Modeled Optimal K-Frame for Erasures
IEEE Access, 2018 It has been found that the research of a special kind of frames, named K-frames where K is an operator, is significant in theory and application. In this paper, first of all, in theory, we discuss some properties about the existence and structure of the ...
He Miao +3 more
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Some Properties of Canonical Dual K-Bessel Sequences for Parseval K-Frames
Journal of Function Spaces, 2019 The concept of canonical dual K-Bessel sequences was recently introduced, a deep study of which is helpful in further developing and enriching the duality theory of K-frames.
Zhong-Qi Xiang
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More on Inequalities for Weaving Frames in Hilbert Spaces
Mathematics, 2019 In this paper, we present several new inequalities for weaving frames in Hilbert spaces from the point of view of operator theory, which are related to a linear bounded operator induced by three Bessel sequences and a scalar in the set of real numbers ...
Zhong-Qi Xiang
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The Canonical Dual Frame of a Wavelet Frame
Applied and Computational Harmonic Analysis, 2002 It is well known that there exist wavelet frames \(\{2^{j/2}\psi(2^jx-k)\}_{j,k\in Z}\) for which the canonical dual frame does not have wavelet structure. In this paper the authors find such a frame with the additional property that other duals, which have the wavelet structure, exist; in fact, infinitely many such duals exist.
Daubechies, Ingrid, Han, Bin
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