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 data generated by Uniform Planar Antenna array (UPA), where at random locations a few of the elements due to failure are missing. Joint Azimuth and Elevation Angles estimation is generally known as Twodimensional DOA estimation. In the proposed technique, the observed incomplete data is imputed first using the Matrix Completion (MC) algorithm and later the 2D angles are jointly estimated using the Two dimensional Matrix Pencil Method (2D-MP). The resulting algorithm is robust in terms of failure of elements, is computationally efficient as it does not forms a correlation matrix and the angles are estimated using only a single snapshot. It is shown that the algorithm is able to estimate the DOAs when we have a fraction of the observed data. The numerical simulation results are provided to see the performance of the method for various incomplete data sizes and Signal-to-Noise Ratio (SNR).