A fourth order cumulant-based MUSIC algorithm for nonplanar array with arbitrary geometry

Many high-resolution methods suffer from serious drawbacks. Indeed, they are not able to process more than N-1 noncoherent sources from an array of N sensors and are weakly robust to the presence of a strong colored background noise whose spatial coherence is unknown. Mainly to overcome these limitations and in particular to increase both the resolution and the number of sources to be processed from an array of N sensors, we propose in this paper a fourth-order cumulant-based MUSIC algorithm, which has the characteristic of the array expansion. Furthermore, it can be used to nonplanar arrays of arbitrary geometries. Computer simulation for the performance comparison between the proposed algorithm and the traditional MUSIC algorithm is demonstrated. And some conclusions of the proposed algorithm for the nonplanar quaternion array are reached.