A new Gibbs sampling DOA estimator based on Bayesian method

A new Gibbs sampling DOA estimator based on Bayesian method (GSDB) is proposed to estimate the directions of multiple sources. The estimator combines the Gibbs sampler and the Bayesian high-resolution method. The formulation of the proposed Gibbs sampling DOA estimator based on the Bayesian method is derived. The new method not only possesses the performance of the high-resolution direction finding in the original Bayesian method but also provides reduced computational complexity to the original one from O(L^K) to O(K×J×N_s). Comparison with MUSIC shows that the new estimator has higher resolution and better performance in low SNR.