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Location information is often used as a proxy to guarantee the performance ofa wireless communication link. However, localization errors can result in asignificant mismatch with the guarantees, particularly detrimental to usersoperating the ultra-reliable low-latency communication (URLLC) regime. Thispaper unveils the fundamental statistical relations between location estimationuncertainty and wireless link reliability, specifically in the context of rateselection for ultra-reliable communication. We start with a simpleone-dimensional narrowband Rayleigh fading scenario and build towards atwo-dimensional scenario in a rich scattering environment. The wireless linkreliability is characterized by the meta-probability, the probability withrespect to localization error of exceeding the outage capacity, and by removingother sources of errors in the system, we show that reliability is sensitive tolocalization errors. The $\epsilon$-outage coherence radius is defined andshown to provide valuable insight into the problem of location-based rateselection. However, it is generally challenging to guarantee reliabilitywithout accurate knowledge of the propagation environment. Finally, severalrate-selection schemes are proposed, showcasing the problem's dynamics andrevealing that properly accounting for the localization error is critical toensure good performance in terms of reliability and achievable throughput.

On the Statistical Relation of Ultra-Reliable Wireless and Location Estimation