2019
DOI: 10.1109/tsp.2018.2887399
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Detecting Gaussian Signals Using Coprime Sensor Arrays in Spatially Correlated Gaussian Noise

Abstract: Coprime sensor arrays (CSAs) can estimate the directions of arrival of O(MN) narrowband planewave sources using only O(M + N) sensors with the CSA product processor. All previous investigations on the product processed CSA's performance for detecting Gaussian signals assumed spatially white Gaussian noise. Considering the product and conventional delay-and-sum beamforming processors applied to the CSA geometry, this paper derives the detection gain for each processor under the deflection metric when the backgr… Show more

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Cited by 13 publications
(7 citation statements)
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“…, can be sparsely expressed on the entire discrete angle grid as: [22], making full use of all the degrees of freedom of mutual lag and cross lag. Many effective methods in the framework of convex optimization [26][27] and Bayesian sparse learning [28] can be used to solve the sparse reconstruction problem of complex-valued groups [28][29].…”
Section: -D Doa Estimation Methods For Sparse Arraymentioning
confidence: 99%
See 1 more Smart Citation
“…, can be sparsely expressed on the entire discrete angle grid as: [22], making full use of all the degrees of freedom of mutual lag and cross lag. Many effective methods in the framework of convex optimization [26][27] and Bayesian sparse learning [28] can be used to solve the sparse reconstruction problem of complex-valued groups [28][29].…”
Section: -D Doa Estimation Methods For Sparse Arraymentioning
confidence: 99%
“…Reference [22] proposed the use of compressed sensing for sparse matrix processing, which reduces the computational complexity of DOA estimation, but it is not used in the MIMO coprime array structure. Reference [23] proposes a fast DOA estimation method with parallel uniform linear arrays, which constructs a sub-array, but when there are many sources, additional matching is required, and the sensors are not fully utilized.…”
Section: Introductionmentioning
confidence: 99%
“…. , Q , which can be solved in the sparse reconstruction framework [23], making full use of all the DOF of mutual lag and cross lag. Many effective methods in the framework of convex optimization [27,28] and Bayesian sparse learning [29] can be used to solve the sparse reconstruction problem of complex-valued groups [29,30].…”
Section: -D Doa Estimation Methods For Sparse Arraymentioning
confidence: 99%
“…Bautista and Buck et al [23] proposed the use of compressed sensing for sparse matrix processing, which reduces the computational complexity of DOA estimation, but it is not used in the MIMO coprime array structure. So et al [24] proposed a fast DOA estimation method with parallel uniform linear arrays, which constructs a sub-array, but when there are many sources, additional matching is required, and the sensors are not fully utilized.…”
mentioning
confidence: 99%
“…In the case of spatially correlated noise, the noise can be modeled with a covariance matrix given by d qq . The spatial covariance matrix of the noise, which describe the crosscorrelation between noise received by antenna i and j, is [73], [97] :d qq ; m± = 9!c m c ± B " = :…”
Section: Spatially Correlated Noisementioning
confidence: 99%