Prime and Co-prime Integer Matrices

Fuente: arXiv
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Main Authors: Xia, Xiang-Gen, Guo, Guangpu
Format: Preprint
Published: 2025
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author Xia, Xiang-Gen
Guo, Guangpu
author_facet Xia, Xiang-Gen
Guo, Guangpu
contents 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 provides a simple way to construct families of pairwise co-prime integer matrices, that may have applications in multidimensional co-prime sensing and multidimensional Chinese remainder theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2505_00862
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Prime and Co-prime Integer Matrices
Xia, Xiang-Gen
Guo, Guangpu
Signal Processing
Discrete Mathematics
Information Theory
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 provides a simple way to construct families of pairwise co-prime integer matrices, that may have applications in multidimensional co-prime sensing and multidimensional Chinese remainder theorem.
title Prime and Co-prime Integer Matrices
topic Signal Processing
Discrete Mathematics
Information Theory
url https://arxiv.org/abs/2505.00862