Direction finding based on single channel array

A new method of direction finding based on the single channel array is proposed in this paper. By regularly adjusting the beamformer weights of the array, we can calculate corresponding output average power. After making different weighted average on these powers, we can construct a noiseless sparse representation model of the signal power. Then the problem of direction finding is converted into one of sparse recovery and can be efficiently solved by many existing optimization methods. Compared with the methods of restoring the array covariance matrix, the new method has the higher estimation accuracy with the fewer snapshots. Simulation results demonstrate the effectiveness and efficiency of the new method.