Generalized Parallel Coprime Array for Two-Dimensional DOA Estimation:A Perspective from Maximizing

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Parallel arrays with coprime subarrays have shown its potential advantages for two dimen-sional direction of arrival (DOA) estimation. In this paper, by introducing two flexible coprime factors to enlarge the inter-element spacing of parallel uniform subarrays, we propose a generalized parallel coprime array (GPCA) geometry. The proposed geometry en-joys flexible array layouts by the coprime factors and enables to extend the array aperture to achieve great improvement of estimation performance. Meanwhile, we verify that GPCA always can obtain M 2 degrees of freedom (DOFs) in co-array domain via 2M sen-sors after optimization, which outperforms sparse par-allel array geometries, such as parallel coprime array (PCA) and parallel augmented coprime array (PACA), and is the same as parallel nested array (PNA) with ex-tended aperture. The superiority of GPCA geometry has been proved by numerical simulations with sparse representation methods.
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