Direction-of-arrival (DOA) estimation is a research hotspot in wireless location. To deal with the lack of the array freedom

this paper presents a coprime array with a high degree of freedom based on the reconstruction of virtual array

realized the super-resolution estimation of multi received angles. This algorithm first vectors the received signal covariance matrix to build the virtual structure model with coprime array

and then

to fit out the lack virtual array response

this paper reconstruct the virtual array

finally

the spatial smoothing is used to realize the super resolution angle estimation. The complexity of the algorithm and the degree of freedom of the array are analyzed in theory detailedly. The simulation results show that the proposed method has a higher array degree of freedom than that of continuous spatial smoothing detection algorithm and the iterative interpolation algorithm under the condition of a same physical element

compared to the iterative interpolation algorithm

the performance of the algorithm is improved greatly with a slightly increased in complexity.