Single snapshot joint estimation of angles and times of arrival: A 2D Matrix Pencil approach

Two algorithms for the problem of joint angles and delays of arrival (JADE) of multiple paths are presented. The algorithms are based on a generalisation of the Matrix Pencil algorithm to the two dimensional case, i.e. 2D Matrix Pencils. Matrix pencil algorithms offer estimation of signal parameters, i.e. angles of arrival (AoA) or times of arrival (ToA), of multiple sources using a single snapshot. We focus on a scenario, where the OFDM symbol is transmitted in a rich multipath channel, which is the case of an indoor environment, and received through multiple antennas. The first algorithm seems more interesting than the second one, since it's motivated from an idea that most Wi-Fi systems use a large number of subcarriers compared to the number of antennas. Simulation results demonstrate the potential of the first algorithm and its performance as a function of Signal-to-Noise ratio (SNR).