31 citations · 34 across the 5 of their papers we have counts for
5 papers
Deterministic Construction of Binary Measurement Matrices with Various Sizes
Xin-Ji Liu, Shu-Tao Xia, Tao Dai
We introduce a general framework to deterministically construct binary measurement matrices for compressed sensing. The proposed matrices are composed of (circulant) permutation su…
Subspace Thresholding Pursuit: A Reconstruction Algorithm for Compressed Sensing
Chao-Bing Song, Shu-Tao Xia, Xin-Ji Liu
We propose a new iterative greedy algorithm for reconstructions of sparse signals with or without noisy perturbations in compressed sensing. The proposed algorithm, called \emph{su…
Improved Analyses for SP and CoSaMP Algorithms in Terms of Restricted Isometry Constants
Chao-Bing Song, Shu-Tao Xia, Xin-ji Liu
In the context of compressed sensing (CS), both Subspace Pursuit (SP) and Compressive Sampling Matching Pursuit (CoSaMP) are very important iterative greedy recovery algorithms whi…
Deterministic Constructions of Binary Measurement Matrices from Finite Geometry
Shu-Tao Xia, Xin-Ji Liu, Yong Jiang +1
Deterministic constructions of measurement matrices in compressed sensing (CS) are considered in this paper. The constructions are inspired by the recent discovery of Dimakis, Smar…
Reconstruction Guarantee Analysis of Binary Measurement Matrices Based on Girth
Xin-Ji Liu, Shu-Tao Xia
Binary 0-1 measurement matrices, especially those from coding theory, were introduced to compressed sensing (CS) recently. Good measurement matrices with preferred properties, e.g.…