3D Coprime Arrays in Sparse Sensing

Conghui Li; Lu Gan; Cong Ling

ICASSP 2019accepted0 citations

3D Coprime Arrays in Sparse Sensing

Abstract

Coprime arrays are a class of sensor arrays that play a crucial role in various signal processing tasks because of their desirable properties such as sparsity and increased degrees of freedom (DOF) of coarrays. In this contribution, a new class of three-dimensional (3D) arrays is constructed from pure cubic fields. By studying the properties of cubic integers, we convert the problem of finding two coprime 3-by-3 integer matrices to that of two coprime integers in the ring of integers of a cubic field, which significantly reduces the design complexity and expands the design space of these matrices. The proposed construction offers naturally commutative matrices and includes generalized circulant matrices as a special case (under certain restriction of a parameter). The surged DOF is guaranteed by the generalized Chinese Remainder Theorem (CRT) for rings and ideals.

BibTeX

@inproceedings{icassp2019_3dcoprimearraysi,
  title = {3D Coprime Arrays in Sparse Sensing},
  author = {Conghui Li and Lu Gan and Cong Ling},
  booktitle = {ICASSP 2019},
  year = {2019}
}