Results 31 to 40 of about 361,955 (117)
Duals of g-frames and g-frame sequences [PDF]
International Mathematical Forum, 2013 In this paper we study duals of g-frames and g-frame sequences. We define oblique dual g-frames and characterize these kind of duals. Also, we introduce Type I and Type IIduals for g-frame sequences and verify some properties of them. Then, we state some conditions for existence of these duals.
Tabriz Branch +2 more
openaire +1 more source
Approximation of dual Gabor frames, window decay, and wireless communications
, 2000 We consider three problems for Gabor frames that have recently received much attention. The first problem concerns the approximation of dual Gabor frames in $L_2(R)$ by finite-dimensional methods.
Strohmer, Thomas
core +2 more sources
Symmetric interpolatory dual wavelet frames [PDF]
, 2014 For any symmetry group $H$ and any appropriate matrix dilation we give an explicit method for the construction of $H$-symmetric refinable interpolatory refinable masks which satisfy sum rule of arbitrary order $n$.
Krivoshein, A. V.
core
Binary frames with prescribed dot products and frame operator
, 2018 This paper extends three results from classical finite frame theory over real or complex numbers to binary frames for the vector space ${\mathbb Z}_2^d$.
Furst, Veronika, Smith, Eric P.
core +1 more source
Journal of Inequalities and Applications, 2019 Abstract To construct dual frames with good structure for a given frame is a fundamental problem in the theory of frames. The tensor product duals of tensor product frames can provide a rank-one decomposition of bounded antilinear operators between two Hilbert spaces. This paper addresses tensor product dual frames. We derive a necessary and sufficient
Ya-Hui Wang, Yun-Zhang Li
openaire +3 more sources
Dual frames compensating for erasures
Glasnik Matematicki, 2017 We discuss the problem of recovering signal from frame coefficients with erasures. Such problems arise naturally from applications where some of the coefficients could be corrupted or erased during the data transmission. Provided that the erasure set satisfies the minimal redundancy condition, we construct a suitable synthesizing dual frame which ...
Damir Bakić, Ljiljana Arambašić
openaire +4 more sources
Dual frame video encoding with feedback [PDF]
The Thrity-Seventh Asilomar Conference on Signals, Systems & Computers, 2003, 2004 A special case of multiple frame prediction is the dual frame buffer, where an encoder uses both an immediate past frame and a long term past frame for motion compensation. Using a dual frame buffer together with intra/inter mode switching improves the compression performance of the coder.
Leontaris, A, Cosman, P C
openaire +2 more sources
Duals and invariances of frame sequences [PDF]
SPIE Proceedings, 2009 This paper surveys recent results on frame sequences. The first group of results characterizes the relationships that hold among various types of dual frame sequences. The second group of results characterizes the relationships that hold among the major Paley-Wiener perturbation theorems for frame sequences, and some of the properties that remain ...
Yoo Young Koo +3 more
openaire +2 more sources
The canonical and alternate duals of a wavelet frame [PDF]
Applied and Computational Harmonic Analysis, 2007 AbstractWe show that there exists a frame wavelet ψ with fast decay in the time domain and compact support in the frequency domain generating a wavelet system whose canonical dual frame cannot be generated by an arbitrary number of generators. On the other hand, there exists infinitely many alternate duals of ψ generated by a single function.
Lemvig, Jakob, Bownik, Marcin
openaire +2 more sources
Sparsity and spectral properties of dual frames
Linear Algebra and its Applications, 2013 We study sparsity and spectral properties of dual frames of a given finite frame. We show that any finite frame has a dual with no more than $n^2$ non-vanishing entries, where $n$ denotes the ambient dimension, and that for most frames no sparser dual is possible.
Krahmer, Felix +2 more
openaire +5 more sources