Abstract
The sparse arrays using two uniform linear arrays have attracted considerable interest due to the capability of giving analytical expression of sensor location and owning robust direction-of-arrival (DOA) facing strong mutual coupling and sensor failure. In order to achieve the maximum consecutive virtual uniform linear array in difference coarray, in this paper, a design method of a novel sparse array using two uniform linear arrays (NSA-U2) is proposed. We first analyze the relationship between the values of displacement of two subarrays and difference coarray, and then we give the analytical expressions of the displacement and the number of consecutive lags. By discussing the selection of number of subarray sensors, the design of NSA-U2 is completed. Moreover, through choosing a proper compressed interelement spacing, NSA-U2 can be robust to mutual coupling effect. Numerical experiments prove the effectiveness and favorable performance of DOA estimation with mutual coupling.
Highlights
Direction-of-arrival (DOA) estimation is one of the key technologies in the field of passive location
Q is the number of Monte Carlo, K is the number of target signals, and bθk,q is the DOA of the kth estimated source by the qth Monte Carlo experiment
The paper analyzes the relationship between the displacement L between two subarrays and the number of consecutive lags Sv in difference coarray
Summary
Direction-of-arrival (DOA) estimation is one of the key technologies in the field of passive location. In order to solve DOAs without any ambiguous values, spatial smoothing multiple signal classification (SS-MUSIC) [7] and direct augmentation approach (DAA) [8] are proposed, respectively Two algorithms both try to transform the physical array to a virtual nonsparse array, where they both use the difference coarray. To enlarge the aperture of virtual ULA under the fixed number of sensors, coprime array with compressed interelement spacing (CACIS), coprime array with displaced subarrays (CADiS) [14, 15], coprime array with multiperiod subarrays (CAMpS) [16], and shifted coprime array (SCA) [17] are proposed. We first derive the analytical expression of displacement between two subarrays, which can decrease the complexity of array design, and discuss the selection of interelement spacing of each subarray to suppress the strong mutual coupling.
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