Spatial Information and Performance Evaluation in Coprime Array
Joint Authors
Shi, Chao
Zhou, Ying
Xu, Dazhuan
Tu, Weilin
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-28
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
In this paper, the mutual information between the received signals and the source in the coprime linear array is investigated.
In Shannon’s information theory, the mutual information is used to quantify the reduction in the priori uncertainty of the transmitted message.
Similarly, the spatial information in the coprime array is the mutual information between direction of arrival (DOA), source amplitude, and received signals.
Such information content is composed of two parts.
The first part is DOA information, and the second one is scattering information.
In a single source scenario, we derive the theoretical expression and its asymptotic upper bound of DOA information.
The corresponding expression of scattering information is also formulated theoretically.
Besides, the application of spatial information is discussed.
We can obtain the optimal array configuration by maximizing the DOA information of the coprime array.
Similarly, the information is also used to quantify the performance difference between the coprime array and uniform array.
In addition, the entropy error is employed to evaluate the estimation performance based on spatial information.
Numerical simulation of the information content confirms our theoretical analysis.
The results in this paper have important guiding significance for the design of the coprime array in the actual environment.
American Psychological Association (APA)
Zhou, Ying& Xu, Dazhuan& Shi, Chao& Tu, Weilin. 2020. Spatial Information and Performance Evaluation in Coprime Array. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1196357
Modern Language Association (MLA)
Zhou, Ying…[et al.]. Spatial Information and Performance Evaluation in Coprime Array. Mathematical Problems in Engineering No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1196357
American Medical Association (AMA)
Zhou, Ying& Xu, Dazhuan& Shi, Chao& Tu, Weilin. Spatial Information and Performance Evaluation in Coprime Array. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1196357
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196357