Optimal Precoders for Tracking the AoD and AoA of a mmWave Path

In millimeter-wave channels, most of the received energy is carried by a few paths. Traditional precoders sweep the angle-of-departure (AoD) and angle-of-arrival (AoA) space with directional precoders to identify directions with largest power. Such precoders are heuristic and lead to suboptimal AoD/...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2018-11, Vol.66 (21), p.5718-5729
Main Authors: Garcia, Nil, Wymeersch, Henk, Slock, Dirk T. M.
Format: Article
Language:English
Subjects:
antenna arrays
antenna radiation patterns
array signal processing
Channel estimation
Convexity
Cramer-Rao bounds
Cramér–Rao bounds
Estimation
Millimeter wave communication
Millimeter waves
optimization
precoding
Radar tracking
Receivers
Signal to noise ratio
Spatial filtering
Transmitters
Uncertainty
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Summary:In millimeter-wave channels, most of the received energy is carried by a few paths. Traditional precoders sweep the angle-of-departure (AoD) and angle-of-arrival (AoA) space with directional precoders to identify directions with largest power. Such precoders are heuristic and lead to suboptimal AoD/AoA estimation. We derive optimal precoders, minimizing the Cramér-Rao bound (CRB) of the AoD/AoA under a given uncertainty range, assuming a fully digital architecture at the transmitter and spatial filtering of a single path. The precoders are found by solving a suitable convex optimization problem. We demonstrate that the accuracy can be improved by at least a factor of two over traditional precoders, and show that there is an optimal number of distinct precoders beyond which the CRB does not improve.
ISSN:1053-587X
1941-0476
1941-0476
DOI:10.1109/TSP.2018.2870368