The sum-difference coarray is the union of difference coarray and the sum coarray, which is capable to obtain a higher number of degrees of freedom (DOF) than the difference coarray. However, this method fails to use all information provided by the coprime array because of the existence of holes. In this paper, we introduce the virtual array interpolation into the sum-difference coarray domain. After interpolating the virtual array, we estimate the DOA by reconstructing the covariance matrix to resolve an atomic norm minimization problem in a gridless way. The proposed method is gridless and can effectively utilize the DOF of a larger virtual array. Numerical simulation results verify the effectiveness and the superior performance of the proposed algorithm.

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Posted 11 May, 2021
On 01 Jun, 2021
Received 31 May, 2021
Received 30 May, 2021
Received 10 May, 2021
On 10 May, 2021
On 10 May, 2021
Invitations sent on 06 May, 2021
On 06 May, 2021
On 05 May, 2021
On 05 May, 2021
On 25 Apr, 2021
Posted 11 May, 2021
On 01 Jun, 2021
Received 31 May, 2021
Received 30 May, 2021
Received 10 May, 2021
On 10 May, 2021
On 10 May, 2021
Invitations sent on 06 May, 2021
On 06 May, 2021
On 05 May, 2021
On 05 May, 2021
On 25 Apr, 2021
The sum-difference coarray is the union of difference coarray and the sum coarray, which is capable to obtain a higher number of degrees of freedom (DOF) than the difference coarray. However, this method fails to use all information provided by the coprime array because of the existence of holes. In this paper, we introduce the virtual array interpolation into the sum-difference coarray domain. After interpolating the virtual array, we estimate the DOA by reconstructing the covariance matrix to resolve an atomic norm minimization problem in a gridless way. The proposed method is gridless and can effectively utilize the DOF of a larger virtual array. Numerical simulation results verify the effectiveness and the superior performance of the proposed algorithm.

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7
The full text of this article is available to read as a PDF.
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