Abstract
Recently, near-field source localization has received more attention due to its capability of estimating the source direction of arrival (DOA) as well as the distance of the source from sensors. In the near-field, the waves are spherical and form a second-order model. A two dimensional (2D) method such as 2D MUSIC is used to solve this second-order problem. Theoretically, the 2D MUSIC has infinite resolution, but practically its resolution is limited and depends on various parameters. In this paper, we have investigated the resolution limit of 2D MUSIC. It has been seen that for closely spaced sources, the resolvability of the MUSIC depends upon the parameters such as the number of sensors, and the distance between the sensors. Mathematically this relationship is derived based on the orthogonality property of the autocorrelation matrix's eigenvectors. Simulation results varying above mentioned parameters validate the mathematical analysis. This study is important for practical implementation, where closely spaced sources are present.
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