Direction of Arrival Estimation Using Co-Prime Arrays: A Super Resolution Viewpoint
IEEE Transactions on Signal Processing(2014)
摘要
We consider the problem of direction of arrival (DOA) estimation using a recently proposed structure of nonuniform linear arrays, referred to as co-prime arrays. By exploiting the second order statistical information of the received signals, co-prime arrays exhibit O(MN) degrees of freedom with only M+N sensors. A sparsity-based recovery algorithm is proposed to fully utilize these degrees of freedom. The suggested method is based on the developing theory of super resolution, which considers a continuous range of possible sources instead of discretizing this range onto a grid. With this approach, off-grid effects inherent in traditional sparse recovery can be neglected, thus improving the accuracy of DOA estimation. We show that in the noiseless case it is theoretically possible to detect up to [MN/ 2] sources with only 2M+N sensors. The noise statistics of co-prime arrays are also analyzed to demonstrate the robustness of the proposed optimization scheme. A source number detection method is presented based on the spectrum reconstructed from the sparse method. By extensive numerical examples, we show the superiority of the suggested algorithm in terms of DOA estimation accuracy, degrees of freedom, and resolution ability over previous techniques, such as MUSIC with spatial smoothing and discrete sparse recovery.
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关键词
super resolution theory,co-prime arrays,doa estimation accuracy,source number detection method,off-grid effects,sparse method,statistical analysis,nonuniform linear arrays,second-order statistical information,discrete sparse recovery,spectrum reconstruction,music,received signals,direction of arrival estimation,array signal processing,noise statistics,sparsity-based recovery algorithm,direction-of-arrival estimation,signal reconstruction,spatial smoothing,signal resolution,super resolution,continuous sparse recovery,resolution ability,o(mn) degrees-of-freedom,traditional sparse recovery,source number detection
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