Joint estimation of multi⁃signal signal receive power⁃direction of arrival using denoised sparse array

Due to the increasing complexity of the electromagnetic environment and the limitation of the number of array elements, the array configuration based on uniform placement can not meet the requirements of joint estimation of multi signal parameters. To solve the above problems, a joint estimation method of multi-signal incident power and direction of arrival(DOA) using denoised sparse array is proposed. Firstly, sparse nested array is extended to virtual uniform linear array by using the property of Khatri-Rao product to obtain super degree of freedom; secondly, according to the Vandermonde matrix structure, the received data of the corresponding virtual array element is selected to reconstruct the Toeplitz matrix to obtain the pseudo covariance matrix of the virtual array, and the noise is reduced to reduce the impact of noise on power estimation; finally, combined signal spatial power spectrum with the orthogonality of signal subspace and noise subspace realizes the joint estimation of multiple receive signal power-DOA. The experimental results show that the proposed method can realize the joint estimation of the incident power and DOA of multiple signals with super degree of freedom, and has good performance under the conditions of low snapshot and low signal-to-noise ratio. © 2022, Jilin University Press. All right reserved.