Underdetermined Blind Source Separation of Synchronous Orthogonal Frequency-Hopping Signals Based on Tensor Decomposition Method

This paper considers the problems of synchronous orthogonal frequency-hopping (FH) signals separation and direction of arrival (DOA) estimation in the underdetermined situation. First of all, in order to estimate the mixing matrix of the FH signals, we stack the two-dimensional covariance matrices of the received FH signals into a third-order tensor, and then, an estimation approach based on the tensor decomposition method is developed to calculate this mixing matrix. Next, to separate these FH signals, a modified source recovery method is proposed. Finally, the DOAs of the FH signals are also obtained. Numerical results demonstrate that compared with the existing algorithms, the proposed algorithm not only presents superior performance but also requires less sparsity limitation and cost time.