Sparse Signal Reconstruction Based on Multiparameter Approximation Function with Smoothed l0 Norm
Joint Authors
Li, Ying-Qi
Zhang, Jiang-She
Fang, Xiao-Feng
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-04
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The smoothed l0 norm algorithm is a reconstruction algorithm in compressive sensing based on approximate smoothed l0 norm.
It introduces a sequence of smoothed functions to approximate the l0 norm and approaches the solution using the specific iteration process with the steepest method.
In order to choose an appropriate sequence of smoothed function and solve the optimization problem effectively, we employ approximate hyperbolic tangent multiparameter function as the approximation to the big “steep nature” in l0 norm.
Simultaneously, we propose an algorithm based on minimizing a reweighted approximate l0 norm in the null space of the measurement matrix.
The unconstrained optimization involved is performed by using a modified quasi-Newton algorithm.
The numerical simulation results show that the proposed algorithms yield improved signal reconstruction quality and performance.
American Psychological Association (APA)
Fang, Xiao-Feng& Zhang, Jiang-She& Li, Ying-Qi. 2014. Sparse Signal Reconstruction Based on Multiparameter Approximation Function with Smoothed l0 Norm. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-470463
Modern Language Association (MLA)
Fang, Xiao-Feng…[et al.]. Sparse Signal Reconstruction Based on Multiparameter Approximation Function with Smoothed l0 Norm. Mathematical Problems in Engineering No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-470463
American Medical Association (AMA)
Fang, Xiao-Feng& Zhang, Jiang-She& Li, Ying-Qi. Sparse Signal Reconstruction Based on Multiparameter Approximation Function with Smoothed l0 Norm. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-470463
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-470463