Prime and Co-Prime Integer Matrices

Xiang Gen Xia; Guangpu Guo

doi:10.1109/LSP.2025.3593178

Prime and Co-Prime Integer Matrices

Xiang Gen Xia
, Guangpu Guo^*

^*Corresponding author for this work

University of Delaware

Research output: Contribution to journal › Article › peer-review

Abstract

This letter 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.

Original language	English
Pages (from-to)	3037-3041
Number of pages	5
Journal	IEEE Signal Processing Letters
Volume	32
DOIs	https://doi.org/10.1109/LSP.2025.3593178
Publication status	Published - 2025
Externally published	Yes

Keywords

Chinese remainder theorem (CRT)
Gaussian integers
Gaussian primes
co-primality
co-prime sensing
prime integer matrices

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10.1109/LSP.2025.3593178

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title = "Prime and Co-Prime Integer Matrices",

abstract = "This letter 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.",

keywords = "Chinese remainder theorem (CRT), Gaussian integers, Gaussian primes, co-primality, co-prime sensing, prime integer matrices",

author = "Xia, \{Xiang Gen\} and Guangpu Guo",

note = "Publisher Copyright: {\textcopyright} 1994-2012 IEEE.",

year = "2025",

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AB - This letter 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.

KW - Chinese remainder theorem (CRT)

KW - Gaussian integers

KW - Gaussian primes

KW - co-primality

KW - co-prime sensing

KW - prime integer matrices

UR - https://www.scopus.com/pages/publications/105012111667

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DO - 10.1109/LSP.2025.3593178

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EP - 3041

JO - IEEE Signal Processing Letters

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Prime and Co-Prime Integer Matrices

Abstract

Keywords

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