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The improved approaches for a single source direction-of-arrival estimation in a far-field and near-field cases are proposed. In the far-field case the multichannel maximum likelihood frequency estimation along the uniform linear array is used for direct calculation of the single real spatial frequency. In the near-field case the same method is applied for short sub-arrays for retrieving a set of local spatial frequencies that allows calculation of the source position. The precision of proposed methods is analyzed via computer simulations