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Optimal Spatial Signal Design for mmWave Positioning Under Imperfect Synchronization


Abstract:

We consider the problem of spatial signal design for multipath-assisted mmWave positioning under limited prior knowledge on the user’s location and clock bias. We propose...Show More

Abstract:

We consider the problem of spatial signal design for multipath-assisted mmWave positioning under limited prior knowledge on the user’s location and clock bias. We propose an optimal robust design and, based on the low-dimensional precoder structure under perfect prior knowledge, a codebook-based heuristic design with optimized beam power allocation. Through numerical results, we characterize different position-error-bound (PEB) regimes with respect to clock bias uncertainty and show that the proposed low-complexity codebook-based designs outperform the conventional directional beam codebook and achieve near-optimal PEB performance for both analog and digital architectures.
Published in: IEEE Transactions on Vehicular Technology ( Volume: 71, Issue: 5, May 2022)
Page(s): 5558 - 5563
Date of Publication: 09 February 2022

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I. Introduction

In 5G mmWave systems, in addition to time-of-arrival (TOA) measurements, the ability to estimate angles-of-arrival (AOAs) and angles-of-departure (AODs) has been introduced [1], which provides additional geometric information, increases multipath resolvability and enables the exploitation of reflected propagation paths to improve positioning, in contrast to sub-6 GHz systems. Based on the combination of TOA, AOA and AOD measurements, joint positioning and synchronization with a single BS can be realized under multipath conditions [2]. In contrast to positioning signals in time and frequency [3, Section 7.4.1.7], spatial positioning signals are inherently directional and thus mainly meaningful under a-priori information about the location of the user equipment (UE), which can be obtained in a tracking scenario [2], [4]. Conventional spatial signal design at the BS involves a set of directional beams (e.g., from a DFT codebook), where the reported received power at the UE reveals a coarse AOD information [5].

References

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