A Primer on the Statistical Relation between Wireless Ultra-Reliability and Location Estimation

This letter statistically characterizes the impact of location estimation uncertainty in the wireless communication reliability, in which location information is used as a proxy to choose the rate. First, a Cram\'er-Rao bound for the localization error is derived. Then, through a simplified setup, we show that the reliability - characterized by how likely the outage probability is to be above a target threshold - can be sensitive to location errors, especially when the channel statistics are also sensitive to the location. Finally, we highlight the difficulty of choosing a rate that both meets target reliability and accounts for the location uncertainty, and that the most direct solutions suffer from being too conservative.