Processed 5G Signals Mathematical Models for Positioning Considering a Non-Constant Propagation Channel

Abstract

The objective of this paper is to determine the ranging performance of the upcoming fifth generation (5G) signal. In order to do so, it is required to define 5G correlator outputs mathematical models. 5G systems will use OFDM (Orthogonal Frequency Division Multiplexing) signals; in the literature, mathematical models of OFDM signals are developed at the different receiver signal processing stages. These models assumed that the propagation channel is constant over an OFDM symbol; nevertheless, an in-depth study of QuaDRiGa, a 5G compliant propagation channel simulator, invalidates this hypothesis. Therefore, in this paper, mathematical models are developed that take into account the channel evolution. The focus is given on correlator outputs and results are applied to the computation of 5G based pseudo range accuracy.

Hybrid Navigation Filters Performances Between GPS, Galileo and 5G TOA Measurements in Multipath Environment

“…In order to derive the mathematical models of the correlator outputs, the focus is on the useful part of the signal (without the noise term in ( 5)). In fact the noise contribution will be added, as a noise term, in the final expression of the correlator outputs mathematical model in (10).…”

“…The implemented simulator generates 5G and GNSS correlator outputs in multipath environments from their mathematical models, reminded in section 2 and derived in [10] for 5G systems and in [11] for GNSS systems. In order to simplify the simulator and to remove computationally-heavy signal processing stages, only the correlator outputs are considered.…”

“…[7], [8]. Concerning SoO, mobile communication signals, such as the 4G Long Term Evolution (LTE) or 5G, are naturally envisioned for positioning, [3], [9], [10]. Indeed, a significant number of users are expected to be "connected-users" and 5G systems offers promising opportunities.…”