Beamspace MUSIC Algorithm for Vector Arrays

This document introduces a beamspace MUSIC algorithm designed for vector arrays. The key advantage of this algorithm lies in its ability to overcome two major limitations of conventional element-space MUSIC implementations: the requirement for high signal-to-noise ratio and the need for precise phase calibration across all array elements. Through beamspace transformation, the algorithm employs eigen-decomposition of the beamspace covariance matrix, where signal and noise subspaces are separated more effectively. The implementation typically involves transforming element-space data to beamspace using a transformation matrix, followed by standard MUSIC spectrum estimation. This approach enables robust performance in low signal-to-noise ratio scenarios and eliminates the need for meticulous phase alignment adjustments across array elements. The algorithm's wide applicability makes it valuable across various domains including communications, radar systems, and sonar applications. Future research directions aim to optimize the beam transformation matrix design and enhance computational efficiency for real-time implementations.