10 citations · 34 across the 11 of their papers we have counts for
11 papers
Dynamics of Linear Systems over Finite Commutative Rings
Yangjiang Wei, Guangwu Xu, Yi Ming Zou
The dynamics of a linear dynamical system over a finite field can be described by using the elementary divisors of the corresponding matrix. It is natural to extend the investigati…
On the Algorithmic Significance and Analysis of the Method of DaYan Deriving One
Guangwu Xu, Bao Li
Modulo inverse is an important arithmetic operation. Many famous algorithms in public key cryptography require to compute modulo inverse. It is argued that the method of DaYan deri…
On Solving a Generalized Chinese Remainder Theorem in the Presence of Remainder Errors
Guangwu Xu
In estimating frequencies given that the signal waveforms are undersampled multiple times, Xia et. al. proposed to use a generalized version of Chinese remainder Theorem (CRT), whe…
On the -Norm Invariant Convex k-Sparse Decomposition of Signals
Guangwu Xu, Zhiqiang Xu
Inspired by an interesting idea of Cai and Zhang, we formulate and prove the convex -sparse decomposition of vectors which is invariant with respect to norm. This resul…
Compressed Sensing Matrices from Fourier Matrices
Guangwu Xu, Zhiqiang Xu
The class of Fourier matrices is of special importance in compressed sensing (CS). This paper concerns deterministic construction of compressed sensing matrices from Fourier matric…
Relations between and for QP and LP in Compressed Sensing Computations
Jun Zhang, Jun Wang, Guangwu Xu
In many compressed sensing applications, linear programming (LP) has been used to reconstruct a sparse signal. When observation is noisy, the LP formulation is extended to allow an…