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Two new DOA (Direction Of Arrival) estimation methods based on orthogonal joint diagonalization using Jacobi rotation are proposed. Through processing spatio-temporal correlation matrices and high-order cumulant matrices by the new technique, the spatial spectrum can be redefined by the joint diagonalization matrix and a set of diagonal matrices. At the same time, these methods are also justified to be effective to process the coherent sources. Finally, the simulated and experimental results justify the proposed methods to be useful methods to DOA estimation and show that they have higher angle resolution, lower RMSE (Root Mean Squared Error), and better robustness than the conventional DOA estimation methods.