7 papers
Exact Dynamic Range--Robustness Tradeoff for Chinese Remainder Theorem under Non-Uniformly Bounded Remainder Errors
Guangpu Guo, Xiang-Gen Xia
The Chinese remainder theorem (CRT) is highly sensitive to remainder errors. Robust CRT addresses this problem by recovering the folding integers correctly from erroneous remainder…
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…