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PRECONDITIONING TECHNIQUES IN FRAME THEORY AND PROBABILISTIC FRAMES
Parseval frame Scalable frame Fritz John Theorem Probabilistic frames frame potential continuous frames
2015/12/10
In this chapter we survey two topics that have recently been investigated in frame theory. First, we give an overview of the class of scalable frames.These are (finite) frames with the property that e...
FRAME POTENTIAL AND FINITE ABELIAN GROUPS
tight frame frame potential finite abelian group sampling
2015/12/10
This article continues a prior investigation of the authors with the goal of extending characterization results of convolutional tight frames from the context of cyclic groups to general finite abelia...
INVERTIBILITY OF THE GABOR FRAME OPERATOR ON THE WIENER AMALGAM SPACE
Wiener amalgam space Gabor frame Walnut representation Wiener’s Lemma
2015/12/10
We use a generalization of Wiener’s 1/f theorem to prove that for a Gabor frame with the generator in the Wiener amalgam space W (L∞, `1 )(Rd), the corresponding frame operator is invertible on this s...
A Nonlinear Reconstruction Algorithm from Absolute Value of Frame Coefficients for Low Redundancy Frames
Nonlinear Reconstruction Algorithm Absolute Value of Frame Coefficients Low Redundancy Frames
2015/9/29
In this paper we present a signal reconstruction algorithm from absolute value of frame coefficients that requires arelatively low redundancy. The basic idea is to use a nonlinear embedding of the inp...
Equivalence of Reconstruction from the Absolute Value of the Frame Coefficients to a Sparse Representation Problem
frames nonlinear processing sparse representation
2015/9/29
The purpose of this note is to prove, for real frames, that signal reconstruction from the absolute value ofthe frame coefficients is equivalent to solution of a sparse signal optimization problem, na...
On generalized Frame-Stewart numbers
multi-peg Tower of Hanoi Tower of Hanoi on graphs Frame-Stewart numbers generalized Frame-Stewart numbers
2010/11/26
or the multi-peg Tower of Hanoi problem with k 4 pegs, so far the best solution is obtained by the Stewart’s algorithm [15] based on the the following recurrence relation:Sk(n) = min
1tn 2 · Sk...
A CHARACTERIZATION OF GENERALIZED FRAME MRAs DERIVING ORTHONORMAL WAVELETS
orthonormal wavelets generalized frame MRA non-MRA wavelets
2007/12/12
In 2000, Papadakis announced that any orthonormal wavelet must be derived by a generalized frame MRA (GFMRA). In this paper, we give a characterization of GFMRAs which can derive orthonormal wavelets,...
Frame wavelets with compact support for $L^2(R^n)$
Fourier transform frame wavelet expansive matrix
2007/12/11
The construction of frame wavelets with compact supports is a meaningful problem in wavelet analysis. In particular, it is a hard work to construct the frame wavelets with explicit analytic forms. For...
