Results 31 to 40 of about 236,630 (266)
Matrices defined by frames [PDF]
Opuscula Mathematica, 2009 Matrix representations of bounded Hilbert space operators are considered. The matrices in question are defined with respect to frames, rather than bases.
Zbigniew Ambroziński, Krzysztof Rudol
doaj +1 more source
Operator Characterizations and Some Properties of g-Frames on Hilbert Spaces
Journal of Function Spaces and Applications, 2013 Given the g-orthonormal basis for Hilbert space H, we characterize the g-frames, normalized tight g-frames, and g-Riesz bases in terms of the g-preframe operators.
Xunxiang Guo
doaj +1 more source
The Electronic Journal of Linear Algebra, 2002 Summary: A \(d\times n\) matrix, \(n\geq d\), whose columns have equal length and whose rows are orthonormal is constructed. This is equivalent to finding an isometric tight frame of \(n\) vectors in \(\mathbb{R}^d\) (or \(\mathbb{C}^d\)), or writing the \(d\times d\) identity matrix \(I= {d\over n} \sum^n_{i=1} P_i\), where the \(P_i\) are rank 1 ...
Reams, Robert, Waldron, Shayne
openaire +2 more sources
Orthogonal Multiwavelet Frames in L2Rd
Journal of Applied Mathematics, 2012 We characterize the orthogonal frames and orthogonal multiwavelet frames in L2Rd with matrix dilations of the form (Df)(x)=detAf(Ax), where A is an arbitrary expanding d×d matrix with integer coefficients.
Liu Zhanwei, Hu Guoen, Wu Guochang
doaj +1 more source
A brief introduction to equi-chordal and equi-isoclinic tight fusion frames [PDF]
, 2017 Equi-chordal and equi-isoclinic tight fusion frames (ECTFFs and EITFFs) are both types of optimal packings of subspaces in Euclidean spaces. In the special case where these subspaces are one-dimensional, ECTFFs and EITFFs both correspond to types of ...
Fickus, Matthew +3 more
core +3 more sources
Mutually Unbiased Equiangular Tight Frames [PDF]
IEEE Transactions on Information Theory, 2021 An equiangular tight frame (ETF) yields a type of optimal packing of lines in a Euclidean space. ETFs seem to be rare, and all known infinite families of them arise from some type of combinatorial design. In this paper, we introduce a new method for constructing ETFs.
Matthew Fickus, Benjamin R. Mayo
openaire +2 more sources
Non-convex block-sparse compressed sensing with coherent tight frames
EURASIP Journal on Advances in Signal Processing, 2020 In this paper, we present a non-convex ℓ 2/ℓ q ...
Xiaohu Luo +4 more
doaj +1 more source
Mutually unbiased frames [PDF]
Quantum, 2022 In this work, the concept of mutually unbiased frames is introduced as the most general notion of unbiasedness for sets composed by linearly independent and normalized vectors.
Fabián Caro Pérez +2 more
doaj +1 more source
Modulated Unit-Norm Tight Frames for Compressed Sensing [PDF]
, 2014 In this paper, we propose a compressed sensing (CS) framework that consists of three parts: a unit-norm tight frame (UTF), a random diagonal matrix and a column-wise orthonormal matrix.
Gan, Lu +3 more
core +1 more source
Tetris Tight Frames Construction via Hadamard Matrices
Abstract and Applied Analysis, 2014 We present a new method to construct unit norm tight frames by applying altered Hadamard matrices. Also we determine an elementary construction which can be used to produce a unit norm frame with prescribed spectrum of frame operator.
A. Abdollahi, M. Monfaredpour
doaj +1 more source