Method for direction of arrival estimation of uncorrelated wideband signals based on sparse covariance fitting

We propose a new direction of arrival estimation method for wideband uncorrelated signals. The wideband signals are first decomposed into narrowband signals. A group sparse Lasso formulation is proposed that jointly fits the powers of the signals using overcomplete dictionaries of the directions of arrival, into the estimated covariance matrices for all narrowband signals. Then, we analyze the problem formulation and propose a new formulation that determines the regularization parameters and becomes the group Lasso formulation. We compare the performance of the proposed method to the conventional methods.