2018
DOI: 10.1109/tsp.2018.2870368
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Optimal Precoders for Tracking the AoD and AoA of a mmWave Path

Abstract: 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 sub-optimal AoD/AoA estimation. We derive optimal precoders, minimizing the Cramér-Rao bound (CRB) of the AoD/AoA, assuming a fully digital architecture at the transmitter and spatial filtering of a single path. The precoders are … Show more

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Cited by 61 publications
(75 citation statements)
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“…However, in the multilinear SVD, the column, row, and fiber spaces can have different ranks. For (16), the column rank is the number of columns in U (1) , the row rank is the number of columns in U (2) , and the fiber rank is the number of columns in U (3) .…”
Section: A the Multilinear Singular Value Decompositionmentioning
confidence: 99%
“…However, in the multilinear SVD, the column, row, and fiber spaces can have different ranks. For (16), the column rank is the number of columns in U (1) , the row rank is the number of columns in U (2) , and the fiber rank is the number of columns in U (3) .…”
Section: A the Multilinear Singular Value Decompositionmentioning
confidence: 99%
“…Previously, the robust beamformer design based on the minimization of the Cramér-Rao bound (CRB) of the AOA/AOD for maximum angular spreads σ max θ0 and σ max φ0 was proposed in [62]. We propose a much simpler approach named as heuristic beamformers in beamspace.…”
Section: Heuristic Beamformer For Trackingmentioning
confidence: 99%
“…The expectations and unbiased constraints in R B can be replaced using the equivalent terms from the FIM. Consequently, the robust beamformer F MS = F RF,MS F BB,MS is designed for maximum angular spreads σ max θ0 and σ max φ0 within the observation time T ob [62].…”
Section: A Beamformer Design Problemmentioning
confidence: 99%
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“…This analog beamforming solution has been standardized by IEEE 802.11ad [5] and IEEE 802. 15.3c [6], and is actively discussed by several 5G industrial organizations [7], [8].…”
Section: Introductionmentioning
confidence: 99%