Modified root music for co-prime linear arrays

The direction of arrival (DOA) estimation problem using co-prime linear arrays is studied. By analysing the special array geometry of the co-prime array, the co-prime array is taken as a filled uniform linear array where some elements are omitted, then a modified root-multiple signal classification (MUSIC) algorithm is developed, which avoids the matching process by obtaining the true DOAs without phase ambiguity. In addition, it can detect more sources by making full use of the degrees of freedom provided by the co-prime array. Simulation results are provided to verify the effectiveness of the proposed algorithm.