3D modified unitary matrix pencil method with automatic grouping of unknown parameters of far field signals

In this paper, we propose a 3-dimensional modified unitary matrix pencil (3D MUMP) method for simultaneous estimation of azimuth and elevation angles along with the frequencies of multiple plane wave signals. The unitary transformation is utilized in the 3-dimensional matrix pencil (3D MP) method in order to reduce the computational complexity since it very efficiently converts complex computations into real ones. The proposed method can be considered as an extension to the existing 2-dimensional unitary matrix pencil (2D UMP) method with the following advantages. First, the computationally expensive grouping algorithm is avoided by exploiting the similar eigen-structure property of the matrices (in 3D UMP method) whose eigenvalues yield the required 3D poles. Furthermore, the possibility of wrong groupings is also reduced significantly. Some simulation results are presented at the end to compare the performance of the proposed method with the existing methods.