Sparse Array Design via Integer Linear Programming

In this paper, a design framework based on integer linear programming is proposed for optimizing sparse array structures. We resort to binary vectors to formulate the design problem for non-redundant arrays (NRA) and minimum-redundant arrays (MRA). The flexibility of the proposed framework allows fo...

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Veröffentlicht in:IEEE transactions on signal processing Jg. 72; S. 4812 - 4826
Hauptverfasser: Zhuang, Yangjingzhi, Zhang, Xuejing, He, Zishu, Greco, Maria Sabrina, Gini, Fulvio
Format: Journal Article
Sprache:Englisch
Veröffentlicht: New York IEEE 2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:
Antenna arrays
Apertures
Arrays
Closed form solutions
Degrees of freedom
Design analysis
Design optimization
Direction of arrival
integer linear programming
Integer programming
Linear programming
minimum-redundant array
Mutual coupling
Non-redundant array
Numerical analysis
Redundancy
Sensor arrays
Sensors
sparse array design
Vectors
ISSN:1053-587X, 1941-0476
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Zusammenfassung:In this paper, a design framework based on integer linear programming is proposed for optimizing sparse array structures. We resort to binary vectors to formulate the design problem for non-redundant arrays (NRA) and minimum-redundant arrays (MRA). The flexibility of the proposed framework allows for dynamic adjustment of constraints to meet various applicative requirements, e.g., to achieve desired array apertures and mitigate mutual coupling effects. The proposed framework is also extended to the design of high-order arrays associated by exploiting high-order cumulants. The effectiveness of the proposed sparse array design framework is investigated through extensive numerical analysis. A comparative analysis with closed-form solutions and integer linear programming-based array design methods confirms the superiority of the proposed design framework in terms of number of degrees of freedom (DOF) and direction of arrival (DOA) estimation accuracy.
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ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2024.3460383