A Hybrid Orthogonal Forward-Backward Pursuit Algorithm for Partial Fourier Multiple Measurement Vectors Problem
Joint Authors
Hua, Gang
Liu, Haiqiang
Xu, Yonggang
Zhu, Aichun
Xu, Jingwen
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-17
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
In solving the partial Fourier Multiple Measurement Vectors (FMMV) problem, existing greedy pursuit algorithms such as Simultaneous Orthogonal Matching Pursuit (SOMP), Simultaneous Subspace Pursuit (SSP), Hybrid Matching Pursuit (HMP), and Forward-Backward Pursuit (FBP) suffer from low recovery ability or need sparsity as a prior information.
This paper combines SOMP and FBP to propose a Hybrid Orthogonal Forward-Backward Pursuit (HOFBP) algorithm.
As an iterative algorithm, each iteration of HOFBP consists of two stages.
In the first stage, α indices selected by SOMP are added to the support set.
In the second stage, the support set is shrank by removing β indices.
The choice of α and β is critical to the performance of this algorithm.
The simulation results showed that, by using proper parameters, HOFBP has better performance than other greedy pursuit algorithms at the expense of more computing time in some cases.
HOFBP does not need sparsity as a prior knowledge.
American Psychological Association (APA)
Liu, Haiqiang& Hua, Gang& Zhu, Aichun& Xu, Jingwen& Xu, Yonggang. 2018. A Hybrid Orthogonal Forward-Backward Pursuit Algorithm for Partial Fourier Multiple Measurement Vectors Problem. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1208133
Modern Language Association (MLA)
Liu, Haiqiang…[et al.]. A Hybrid Orthogonal Forward-Backward Pursuit Algorithm for Partial Fourier Multiple Measurement Vectors Problem. Mathematical Problems in Engineering No. 2018 (2018), pp.1-12.
https://search.emarefa.net/detail/BIM-1208133
American Medical Association (AMA)
Liu, Haiqiang& Hua, Gang& Zhu, Aichun& Xu, Jingwen& Xu, Yonggang. A Hybrid Orthogonal Forward-Backward Pursuit Algorithm for Partial Fourier Multiple Measurement Vectors Problem. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-12.
https://search.emarefa.net/detail/BIM-1208133
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1208133