9 citations · 22 across the 6 of their papers we have counts for
6 papers
An Open Problem on Sparse Representations in Unions of Bases
Yi Shen, Chenyun Yu, Yuan Shen +1
We consider sparse representations of signals from redundant dictionaries which are unions of several orthonormal bases. The spark introduced by Donoho and Elad plays an important…
Restricted -Isometry Properties Adapted to Frames for Nonconvex -Analysis
Junhong Lin, Song Li
This paper discusses reconstruction of signals from few measurements in the situation that signals are sparse or approximately sparse in terms of a general frame via the -anal…
Sparse Recovery with Coherent Tight Frames via Analysis Dantzig Selector and Analysis LASSO
Junhong Lin, Song Li
This article considers recovery of signals that are sparse or approximately sparse in terms of a (possibly) highly overcomplete and coherent tight frame from undersampled data corr…
Sparse Signals Recovery from Noisy Measurements by Orthogonal Matching Pursuit
Yi Shen, Song Li
Recently, many practical algorithms have been proposed to recover the sparse signal from fewer measurements. Orthogonal matching pursuit (OMP) is one of the most effective algorith…
Shearlet frames with short support
Song Li, Yi Shen
Compactly supported shearlets have been studied in both theory and applications. In this paper, we construct symmetric compactly supported shearlet systems based on pseudo splines…
Wavelets and framelets from dual pseudo splines
Yi Shen, Song Li
Dual pseudo splines constitute a new class of refinable functions with B-splines as special examples, which was introduced in \cite{DHSS}. In this paper, we shall construct Riesz w…