Flexible construction of measurement matrices in compressed sensing based on extensions of incidence matrices of combinatorial designs

作者：

Highlights：

• A construction of (n,n,n−1,n−1,n−2) -BIBD based on finite set. The incidence matrix H of (n,n,n−1,n−1,n−2)-BIBD based on finite set.

• A method of combining vertical expansions and horizontal expansions to construct measurement matrices.

• An approach for the embedding matrix with low coherence.

摘要

•A construction of (n,n,n−1,n−1,n−2) -BIBD based on finite set. The incidence matrix H of (n,n,n−1,n−1,n−2)-BIBD based on finite set.•A method of combining vertical expansions and horizontal expansions to construct measurement matrices.•An approach for the embedding matrix with low coherence.

论文关键词：Compressed sensing,Measurement matrices,Coherence,Vertical expansions,Horizontal expansions

论文评审过程：Received 12 July 2021, Revised 22 December 2021, Accepted 26 December 2021, Available online 6 January 2022, Version of Record 6 January 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2021.126901