Stability of 1-Bit Compressed Sensing in Sparse Data Reconstruction
Joint Authors
Lian, Yuefang
Zhou, Jinchuan
Tang, Jingyong
Sun, Zhongfeng
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-25
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
1-bit compressing sensing (CS) is an important class of sparse optimization problems.
This paper focuses on the stability theory for 1-bit CS with quadratic constraint.
The model is rebuilt by reformulating sign measurements by linear equality and inequality constraints, and the quadratic constraint with noise is approximated by polytopes to any level of accuracy.
A new concept called restricted weak RSP of a transposed sensing matrix with respect to the measurement vector is introduced.
Our results show that this concept is a sufficient and necessary condition for the stability of 1-bit CS without noise and is a sufficient condition if the noise is available.
American Psychological Association (APA)
Lian, Yuefang& Zhou, Jinchuan& Tang, Jingyong& Sun, Zhongfeng. 2020. Stability of 1-Bit Compressed Sensing in Sparse Data Reconstruction. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1201703
Modern Language Association (MLA)
Lian, Yuefang…[et al.]. Stability of 1-Bit Compressed Sensing in Sparse Data Reconstruction. Mathematical Problems in Engineering No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1201703
American Medical Association (AMA)
Lian, Yuefang& Zhou, Jinchuan& Tang, Jingyong& Sun, Zhongfeng. Stability of 1-Bit Compressed Sensing in Sparse Data Reconstruction. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1201703
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1201703