73 citations · 141 across the 8 of their papers we have counts for
8 papers
Robust Multidimentional Chinese Remainder Theorem for Integer Vector Reconstruction
Li Xiao, Haiye Huo, Xiang-Gen Xia
The problem of robustly reconstructing an integer vector from its erroneous remainders appears in many applications in the field of multidimensional (MD) signal processing. To addr…
Exact and Robust Reconstructions of Integer Vectors Based on Multidimensional Chinese Remainder Theorem (MD-CRT)
Li Xiao, Xiang-Gen Xia, Yu-Ping Wang
The robust Chinese remainder theorem (CRT) has been recently proposed for robustly reconstructing a large nonnegative integer from erroneous remainders. It has found many applicati…
Minimum Degree-Weighted Distance Decoding for Polynomial Residue Codes with Non-Pairwise Coprime Moduli
Li Xiao, Xiang-Gen Xia
This paper presents a new decoding for polynomial residue codes, called the minimum degree-weighted distance decoding. The newly proposed decoding is based on the degree-weighted d…
Robust Polynomial Reconstruction via Chinese Remainder Theorem in the Presence of Small Degree Residue Errors
Li Xiao, Xiang-Gen Xia
Based on unique decoding of the polynomial residue code with non-pairwise coprime moduli, a polynomial with degree less than that of the least common multiple (lcm) of all the modu…
Radial Velocity Retrieval for Multichannel SAR Moving Targets with Time-Space Doppler De-ambiguity
Jia Xu, Zu-Zhen Huang, Zhi-Rui Wang +3
In this paper, with respect to multichannel synthetic aperture radars (SAR), we first formulate the problems of Doppler ambiguities on the radial velocity (RV) estimation of a grou…
Towards Robustness in Residue Number Systems
Li Xiao, Xiang-Gen Xia, Haiye Huo
The problem of robustly reconstructing a large number from its erroneous remainders with respect to several moduli, namely the robust remaindering problem, may occur in many applic…
Error Correction in Polynomial Remainder Codes with Non-Pairwise Coprime Moduli and Robust Chinese Remainder Theorem for Polynomials
Li Xiao, Xiang-Gen Xia
This paper investigates polynomial remainder codes with non-pairwise coprime moduli. We first consider a robust reconstruction problem for polynomials from erroneous residues when…
Multi-Stage Robust Chinese Remainder Theorem
Li Xiao, Xiang-Gen Xia, Wenjie Wang
It is well-known that the traditional Chinese remainder theorem (CRT) is not robust in the sense that a small error in a remainder may cause a large error in the reconstruction sol…