Sparse Uniform Circular Array Root-MUSIC Algorithm with Code Implementation

The sparse uniform circular array Root-MUSIC algorithm incorporates beamspace transformation, coordinate mapping, and root-MUSIC algorithm implementation. This method represents an advanced root-search technique in signal processing that efficiently calculates signal roots through beamspace transformation and mapping operations applied to sparse uniform circular arrays. The algorithm implementation involves several critical stages: signal preprocessing (typically including covariance matrix estimation), array response calculation using sensor position parameters, beamspace transformation to convert circular array data to virtual linear array equivalent, mapping operations for coordinate system conversion, root-solving using polynomial rooting techniques, and final result analysis for direction of arrival (DOA) estimation. In code implementation, key functions would include array geometry setup, beamspace transformation matrices, root-MUSIC polynomial construction, and eigenvalue decomposition of the covariance matrix. This algorithm enables more accurate signal analysis and processing, significantly improving the efficiency and precision of signal processing applications while reducing computational complexity compared to conventional spectral MUSIC approaches.