Title
ULA Fitting for Sparse Array Design
Abstract
Existing sparse array (SA) geometries, such as coprime and nested arrays, can be regarded as a concatenation of two uniform linear arrays (ULAs). Such arrays lead to a significant increase in the number of degrees of freedom (DOF) when the second-order information is utilized, i.e., they provide long virtual difference coarrays (DCAs). Thus, the idea of this paper is based on the observation that SAs can be fitted through the concatenations of sub-ULAs. A corresponding SA design principle, called ULA fitting, is then proposed. It aims to design SAs from multiple sub-ULAs. Towards this goal, a polynomial model for arrays is used, and based on it, a DCA structure is analyzed for the general case when an SA is composed of an arbitrary number of sub-ULAs. ULA fitting enables to transfer SA design requirements, such as hole-free, low mutual coupling, and other requirements, into pseudo-polynomial equation, and hence, find particular solutions. We mainly focus on designing SAs with low mutual coupling and large uniform DOF. Two examples of SAs with closed-form expressions are then developed based on ULA fitting. Numerical experiments verify the superiority of the proposed SAs in the presence of heavy mutual coupling.
Year
DOI
Venue
2021
10.1109/TSP.2021.3125609
IEEE TRANSACTIONS ON SIGNAL PROCESSING
Keywords
DocType
Volume
Mutual coupling, Sensor arrays, Sensors, Array signal processing, Geometry, Couplings, Antenna arrays, Difference coarray (DCA), direction-of-arrival (DOA) estimation, mutual coupling, polynomials, sparse array (SA), weight function
Journal
69
ISSN
Citations 
PageRank 
1053-587X
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Wanlu Shi113.73
sergiy a vorobyov21563113.46
Yingsong Li312034.72