Spatial Wireless Channel Prediction under Location Uncertainty

TL;DR

This paper compares classical and uncertain Gaussian process frameworks for spatial wireless channel prediction, demonstrating that the uncertain Gaussian process effectively accounts for location uncertainty and improves prediction accuracy.

Contribution

The paper introduces and evaluates the uncertain Gaussian process (uGP) framework, which explicitly models location uncertainty for more robust wireless channel prediction.

Findings

cGP fails under location uncertainty in learning and prediction

uGP successfully learns and predicts channels with location uncertainty

uGP outperforms cGP in simulated scenarios with large-scale fading

Abstract

Spatial wireless channel prediction is important for future wireless networks, and in particular for proactive resource allocation at different layers of the protocol stack. Various sources of uncertainty must be accounted for during modeling and to provide robust predictions. We investigate two channel prediction frameworks, classical Gaussian processes (cGP) and uncertain Gaussian processes (uGP), and analyze the impact of location uncertainty during learning/training and prediction/testing, for scenarios where measurements uncertainty are dominated by large-scale fading. We observe that cGP generally fails both in terms of learning the channel parameters and in predicting the channel in the presence of location uncertainties.\textcolor{blue}{{} }In contrast, uGP explicitly considers the location uncertainty. Using simulated data, we show that uGP is able to learn and predict the wireless channel.