6 papers
Moving Target SAR Imaging Using Planar Arrays And Multidimensional Chinese Remainder Theorem (MD-CRT)--Part II: Two Subarray Designs
Guangpu Guo, Xiang-Gen Xia
Based on the framework proposed in Part I, the Part II of this two-part paper investigates two-subarray designs for moving target SAR imaging using planar antenna arrays and the mu…
Moving Target SAR Imaging Using Planar Arrays And Multidimensional Chinese Remainder Theorem (MD-CRT)--Part I: A General Framework
Guangpu Guo, Xiang-Gen Xia
In this two-part paper, we investigate synthetic aperture radar (SAR) moving target imaging using planar antenna arrays. For a target moving over a three-dimensional terrain, its a…
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…