Joint Azimuth and Elevation Angle Estimation Using Incomplete Data Generated by a Faculty Antenna Array

In this study, we extend the "Fault Tolerant Matrix Pencil Method for Direction of Arrival Estimation(DOA)" proposed by the authors [1] to joint estimation of Azimuth and Elevation Angles from a datagenerated by Uniform Planar Antenna array (UPA), where at random locations a few of the elements dueto failure are missing. Joint Azimuth and Elevation Angles estimation is generally known as TwodimensionalDOA estimation. In the proposed technique, the observed incomplete data is imputed firstusing the Matrix Completion (MC) algorithm and later the 2D angles are jointly estimated using the Twodimensional Matrix Pencil Method (2D-MP). The resulting algorithm is robust in terms of failure ofelements, is computationally efficient as it does not forms a correlation matrix and the angles are estimatedusing only a single snapshot. It is shown that the algorithm is able to estimate the DOAs when we have afraction of the observed data. The numerical simulation results are provided to see the performance of themethod for various incomplete data sizes and Signal-to-Noise Ratio (SNR).