5 papers · 1 filter
Robust Multidimensional Chinese Remainder Theorem (MD-CRT) with Non-Diagonal Moduli and Multi-Stage Framework
Guangpu Guo, Xiang-Gen Xia
The Chinese remainder theorem (CRT) provides an efficient way to reconstruct an integer from its remainders modulo several integer moduli, and has been widely applied in signal pro…
A Generalized Multidimensional Chinese Remainder Theorem (MD-CRT) for Multiple Integer Vectors
Guangpu Guo, Xiang-Gen Xia
Chinese remainder theorem (CRT) is widely applied in cryptography, coding theory, and signal processing. It has been extended to the multidimensional CRT (MD-CRT), which reconstruc…
Prime and Co-prime Integer Matrices
Xiang-Gen Xia, Guangpu Guo
This paper investigates prime and co-prime integer matrices and their properties. It characterizes all pairwise co-prime integer matrices that are also prime integer matrices. This…
A Construction of Pairwise Co-prime Integer Matrices of Any Dimension and Their Least Common Right Multiple
Guangpu Guo, Xiang-Gen Xia
Compared with co-prime integers, co-prime integer matrices are more challenging due to the non-commutativity. In this paper, we present a new family of pairwise co-prime integer ma…
Maximum Likelihood Estimation Based Complex-Valued Robust Chinese Remainder Theorem and Its Fast Algorithm
Xiaoping Li, Shiyang Sun, Qunying Liao +1
Recently, a multi-channel self-reset analog-to-digital converter (ADC) system with complex-valued moduli has been proposed. This system enables the recovery of high dynamic range c…