Abstract: The method of receiving the antenna array vector was proposed under the sparse angle domain and Doppler domain.The direction-of-arrival(DOA) estimation problem in the Doppler frequency domain was discussed to extract the relatively large impulse response at the band's effective range. The L_2,0 estimation algorithm was used in the recovery process of DOA estimation,which took full advantage of the inherent sparse characteristics of DOA under the architecture of multi-antenna spectrum sensing. As for the unavoidable noise problem in the testing environment,the mean square error of DOA estimation was also analyzed for different noise distributions. Simulation results show that the computational complexity of the L_2,0-DOA estimation algorithm in the frequency domain is low and the accuracy is high. Besides,the proposed method is not sensitive to noise and has high robustness.