Constructions of compressed sensing matrices based on the subspaces of symplectic space over finite fields

被引：6
|
作者：
Gao, You [1 ]
Zhang, Xiaojuan [1 ]
机构：
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2016年 / 15卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Compressed sensing matrix; symplectic space; singular symplectic space; finite fields;
D O I：
10.1142/S0219498816500250
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper provides two constructions of compressed sensing matrices using the subspaces of symplectic space and singular symplectic space over finite fields. Then we compare the matrices constructed in this paper with the matrix constructed by DeVore, and compare the two matrices based on symplectic geometry and singular symplectic geometry over finite fields.
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收藏
页数：16
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