Abstract

In this paper, we propose various localization error optimal beamforming strategies and subsequently study the trade-off between data and localization services while budgeting time and frequency resources in a multi-user millimeter-wave framework. Allocating more resources for the data service phase instead of localization would imply higher data rate but, concurrently, also a higher position and orientation estimation error. In order to characterize this trade-off, we firstly derive a flexible application-dependent localization error cost function combining the Cramer-Rao lower bounds of delay, angle of departure and/or angle of arrival estimates at a mobile receiver over the downlink. Consequently we devise different fairness criteria based localization error optimal beamforming strategies in a multi-user context. Finally, we show the advantage of the latter beamforming strategies and assess the communication-localization trade-off with respect to various time-frequency resource division schemes.

Highlights

  • An exponential increase in the demand for low latency high data rate services is driving the wireless communication industry into adopting high frequency millimeter wave as a key technology in the 5th generation (5G) of cellular networks [1]

  • In this paper, we propose various localization error optimal beamforming strategies and subsequently study the trade-off between data and localization services while budgeting time and frequency resources in a multi-user millimeter-wave framework

  • We look at the resulting average performance per user while considering data rate, position estimation error bounds (PEB) and orientation estimation error bounds (OEB)

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Summary

INTRODUCTION

An exponential increase in the demand for low latency high data rate services is driving the wireless communication industry into adopting high frequency millimeter wave (mmWave) as a key technology in the 5th generation (5G) of cellular networks [1]. In [9] the authors characterize the CRLB for the same location-dependent estimation variables, but within multi-carrier systems Using these theoretical performance bounds, recent works in the literature have been dedicated towards finding the localization optimal beamformers. We study different resource budgeting strategies in a framework consisting of both communication and localization services for multi-user cases in a multi-carrier system. For this purpose, we first derive the localization optimal beamformers and recall the communication oriented optimal beamfomers for both single and multiple users from [21].

SYSTEM MODEL
FIM IN THE SINGLE-CARRIER CASE
FIM IN THE MULTI-CARRIER CASE
PEB AND OEB
DATA RATE IN THE SINGLE- AND MULTI-USER CASES
TRADE-OFF BETWEEN LOCALIZATION AND
TIME DIVISION
FREQUENCY DIVISION
NUMERICAL RESULTS
CONCLUSION
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