Superresolution 2D DOA Estimation for a Rectangular Array via Reweighted Decoupled Atomic Norm Minimization
Joint Authors
Dong, Chun-xi
Dong, Yang-yang
Zhao, Guo-qing
Liu, Ming-Ming
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-07-08
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper proposes a superresolution two-dimensional (2D) direction of arrival (DOA) estimation algorithm for a rectangular array based on the optimization of the atomic l0 norm and a series of relaxation formulations.
The atomic l0 norm of the array response describes the minimum number of sources, which is derived from the atomic norm minimization (ANM) problem.
However, the resolution is restricted and high computational complexity is incurred by using ANM for 2D angle estimation.
Although an improved algorithm named decoupled atomic norm minimization (DAM) has a reduced computational burden, the resolution is still relatively low in terms of angle estimation.
To overcome these limitations, we propose the direct minimization of the atomic l0 norm, which is demonstrated to be equivalent to a decoupled rank optimization problem in the positive semidefinite (PSD) form.
Our goal is to solve this rank minimization problem and recover two decoupled Toeplitz matrices in which the azimuth-elevation angles of interest are encoded.
Since rank minimization is an NP-hard problem, a novel sparse surrogate function is further proposed to effectively approximate the two decoupled rank functions.
Then, the new optimization problem obtained through the above relaxation can be implemented via the majorization-minimization (MM) method.
The proposed algorithm offers greatly improved resolution while maintaining the same computational complexity as the DAM algorithm.
Moreover, it is possible to use a single snapshot for angle estimation without prior information on the number of sources, and the algorithm is robust to noise due to its iterative nature.
In addition, the proposed surrogate function can achieve local convergence faster than existing functions.
American Psychological Association (APA)
Liu, Ming-Ming& Dong, Chun-xi& Dong, Yang-yang& Zhao, Guo-qing. 2019. Superresolution 2D DOA Estimation for a Rectangular Array via Reweighted Decoupled Atomic Norm Minimization. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1196691
Modern Language Association (MLA)
Liu, Ming-Ming…[et al.]. Superresolution 2D DOA Estimation for a Rectangular Array via Reweighted Decoupled Atomic Norm Minimization. Mathematical Problems in Engineering No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1196691
American Medical Association (AMA)
Liu, Ming-Ming& Dong, Chun-xi& Dong, Yang-yang& Zhao, Guo-qing. Superresolution 2D DOA Estimation for a Rectangular Array via Reweighted Decoupled Atomic Norm Minimization. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1196691
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196691