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An Adaptive Gradient Projection Algorithm for Piecewise Convex Optimization and Its Application in Compressed Spectrum Sensing
Joint Authors
Jiang, Hua
Wang, Tianjing
Shen, Hang
Zhu, Xiaomei
Liu, Guoqing
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-14
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Signal sparse representation has attracted much attention in a wide range of application fields.
A central aim of signal sparse representation is to find a sparse solution with the fewest nonzero entries from an underdetermined linear system, which leads to various optimization problems.
In this paper, we propose an Adaptive Gradient Projection (AGP) algorithm to solve the piecewise convex optimization in signal sparse representation.
To find a sparser solution, AGP provides an adaptive stepsize to move the iteration solution out of the attraction basin of a suboptimal sparse solution and enter the attraction basin of a sparser solution.
Theoretical analyses are used to show its fast convergence property.
The experimental results of real-world applications in compressed spectrum sensing show that AGP outperforms the traditional detection algorithms in low signal-to-noise-ratio environments.
American Psychological Association (APA)
Wang, Tianjing& Shen, Hang& Zhu, Xiaomei& Liu, Guoqing& Jiang, Hua. 2018. An Adaptive Gradient Projection Algorithm for Piecewise Convex Optimization and Its Application in Compressed Spectrum Sensing. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209698
Modern Language Association (MLA)
Wang, Tianjing…[et al.]. An Adaptive Gradient Projection Algorithm for Piecewise Convex Optimization and Its Application in Compressed Spectrum Sensing. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1209698
American Medical Association (AMA)
Wang, Tianjing& Shen, Hang& Zhu, Xiaomei& Liu, Guoqing& Jiang, Hua. An Adaptive Gradient Projection Algorithm for Piecewise Convex Optimization and Its Application in Compressed Spectrum Sensing. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209698
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209698