Efficient algorithm for localising 3-D narrowband multiple sources

The authors propose an efficient 3-D sourer localisation algorithm using three uniform linear subarrays. The proposed algorithm replaces the 3-D search required in conventional 3-D MUSIC with three ID searches, and thus reduces the computational burden. An estimate of the 1-D incident angle obtained from a subarray under the far field assumption satisfies the nonlinear algebraic equation of the true source bearing angle, elevation angle, and range. The proposed algorithm estimates sourer location by solving three algebraic equations obtained from three subarrays. When comparing 3-D MUSIC spectra of the estimated source locations, the proposed algorithm is able to solve the pairing problem in localisation of multiple sources.