JADED-RIP: Joint Angle and Delay Estimator and Detector via Rotational Invariance Properties

Abstract

A novel approach entitled “Joint Angle and Delay Estimator and Detector”, or simply JADED, is presented. This approach allows simultaneous estimation of number of coherent/non-coherent sources and joint estimation of the angles and times of arrival of each source. The system is composed of a Uniform Linear Array (ULA) receiving known OFDM symbols from a user in an indoor environment, which is rich in multipath. Therefore, the objective is to apply the JADED approach to this scenario, which allows extraction of the Line-of-Sight component based on the first arriving path. The first method, called JADED-RIP, makes use of the Rotational Invariance Properties (RIP) of ULAs and OFDM symbols, detects the number of multipath components, and estimates the angles and times of arrival of each path by performing a 2D search. The second method is a Computationally Efficient Single Snapshot (CESS) version of the JADED-RIP, i.e. it requires a 1D search followed by a least squares fit, and can only be used when a single OFDM symbol is available. Future insights are given in the Conclusions section.