Results 221 to 230 of about 161,013 (263)
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.
Bin Han, Íngrid Daubechies
exaly +3 more sources
On the Dual Frame Induced by an Invertible Frame Multiplier [PDF]
Sampling Theory in Signal and Information Processing, 2016 Recently it has been established that given an invertible frame multiplier with semi-normalized symbol, a specific dual of any of the two involved frames can be determined for the inversion purpose. The inverse can be represented as a multiplier with the reciprocal symbol, this particular dual of one of the given frames, and any dual of the other frame.
Diana T Stoeva +2 more
exaly +4 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Partial Gabor frames and dual frames
International Journal of Wavelets, Multiresolution and Information Processing, 2021The theory of Gabor frames has been extensively investigated. This paper addresses partial Gabor systems. We introduce the concepts of partial Gabor system, frame and dual frame. We present some conditions for a partial Gabor system to be a partial Gabor frame, and using these conditions, we characterize partial dual frames. We also give some examples.
Yu Tian, Hui-Fang Jia, Guo-Liang He
openaire +2 more sources
Hilbert–Schmidt frames and their duals
International Journal of Wavelets, Multiresolution and Information Processing, 2021The concept of Hilbert–Schmidt frame (HS-frame) was first introduced by Sadeghi and Arefijamaal in 2012. It is more general than [Formula: see text]-frames, and thus, covers many generalizations of frames. This paper addresses the theory of HS-frames.
Ya-Nan Li, Yun-Zhang Li
openaire +2 more sources
Acta Applicandae Mathematicae, 2008
Let \(\mathcal{H}\) be a separable Hilbert space and \(J\) a countable index set. A sequence \(\{ y_j\}_{j\in J}\) is called a {\textit{Bessel sequence}} in \(\mathcal{H}\) if the bound \(\sum_{j\in J} |\langle x,\, y_j\rangle|^2\leq C\|x\|_{\mathcal{H}}\) holds for all \(x\in \mathcal{H}\), and \(\{ x_j\}_{j\in J}\) is called a {\textit{frame sequence}
Heil, Christopher +2 more
openaire +2 more sources
Let \(\mathcal{H}\) be a separable Hilbert space and \(J\) a countable index set. A sequence \(\{ y_j\}_{j\in J}\) is called a {\textit{Bessel sequence}} in \(\mathcal{H}\) if the bound \(\sum_{j\in J} |\langle x,\, y_j\rangle|^2\leq C\|x\|_{\mathcal{H}}\) holds for all \(x\in \mathcal{H}\), and \(\{ x_j\}_{j\in J}\) is called a {\textit{frame sequence}
Heil, Christopher +2 more
openaire +2 more sources
International Journal of Wavelets, Multiresolution and Information Processing, 2019
This paper is devoted to the study of the dual [Formula: see text]-g-Bessel sequences of [Formula: see text]-g-frames. We firstly make use of the g-preframe operators of a g-Bessel sequence to investigate the constructions of [Formula: see text]-g-frames.
Shengnan Shi, Yongdong Huang
openaire +2 more sources
This paper is devoted to the study of the dual [Formula: see text]-g-Bessel sequences of [Formula: see text]-g-frames. We firstly make use of the g-preframe operators of a g-Bessel sequence to investigate the constructions of [Formula: see text]-g-frames.
Shengnan Shi, Yongdong Huang
openaire +2 more sources
Optimal dual frames for uniform frames with erasures
2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD), 2015Given a frame as a coder, its optimal dual as encoder can make the reconstruction error arising from erasure minimum. According to the eigenvalues of the frame operator, we give some sufficient conditions under which the unique optimal dual frame can be identified.
Fang Shuai +3 more
openaire +1 more source
Journal of Pseudo-Differential Operators and Applications, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bibak Hafshejani, Akram +1 more
openaire +2 more sources
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bibak Hafshejani, Akram +1 more
openaire +2 more sources
Affine frames, quasi-affine frames, and their duals
Advances in Computational Mathematics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charles K. Chui +2 more
openaire +2 more sources
Frame Potential of Dual Frames and Phase Retrievable Frames
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jafarizadeh, M., Hasankhani Fard, M. A.
openaire +1 more source