Coherent DOA estimation based on low-rank matrix recovery with coprime arrays in nonuniform noise

In this paper, a novel low-rank matrix recovery-based direction of arrival estimation algorithm is proposed for coherent signals with coprime arrays under nonuniform noise conditions. Firstly, we employ array interpolation techniques to transform the coprime array covariance matrix into a virtual uniform linear array covariance matrix. Subsequently, we utilize the minimum diagonal element replacement to mitigate the impact of nonuniform noise and reconstruct the Toeplitz matrix. Finally, we use low-rank matrix recovery to achieve the decoherence of coherent signals. The simulation experiments provide evidence of the superiority of our proposed algorithm over other existing algorithms.