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Generalized Super-resolution DOA Estimation Array Configurations’ Design Exploiting Sparsity in Coprime Arrays

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Abstract

Higher degrees of freedom (DOF) for direction of arrival can be attained by using coprime arrays. In this paper, we design super-resolution generalized coprime array configurations based on suppression and displacement to achieve higher DOFs. The first composition known as CASDiS stands for coprime arrays with suppressed and displaced subarrays. This structure can achieve \( 4MN + 1 \) number of consecutive lags considering only \( 2M + N \) number of sensors. However, still there are some holes. In order to achieve hole-free lags, a novel nested inspired “Nested Displaced CoPrime subarrays” (NesDCoP) structure is designed. This configuration performs remarkably in terms of generating consecutive lags and can triumph hole-free \( 4MN + 2M + 1 \) lags. The key contributions of this work are as follows: Firstly, both array configurations can achieve longer consecutive lags as compared to previously proposed arrays. Secondly, NesDCoP structure can accomplish consecutive lags almost equivalent to nested arrays. Lastly, both structures are less complex because there is no need to use interpolation techniques. The practicality of these configurations is demonstrated using MUSIC algorithm, and then, simulation results are equated with other methods which show the effectiveness of both the proposed array configurations.

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Acknowledgements

This work is supported by CAS-TWAS fellowship, the National Natural Science Foundation of China under Grant 61671418, and advanced research fund of University of Science and Technology of China.

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Correspondence to Zhongfu Ye.

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Shabir, K., Al Mahmud, T.H., Zheng, R. et al. Generalized Super-resolution DOA Estimation Array Configurations’ Design Exploiting Sparsity in Coprime Arrays. Circuits Syst Signal Process 38, 4723–4738 (2019). https://doi.org/10.1007/s00034-019-01078-1

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