Research on direction-of-arrival estimation with arbitrary geometry array

Manifold Separation Technique (MST), stems from the wavefield modeling. It is the product of a sampling matrix (dependent on the antenna array only) and a Vandermonde structured coefficients vector (dependent on the wavefield only). This allows fast direction-of-arrival algorithms designed for linear arrays to be used on arrays with arbitrary configuration. In this paper, we build the model of arbitrary geometry array, choose nonuniform circular array as representative, obtain the sampling matrix of MST with least-squares, and then estimate the direction-of-arrival of Vandermode structure with root-MUSIC. The simulation proves that the rooting-based algorithms, having high resolution capability and only suitable for uniform linear arrays, can be used in arbitrary geometry arrays via MST.