Abstract

When base stations (BSs) are deployed with multiple antennas, they need to have downlink (DL) channel state information (CSI) to optimize downlink transmissions by beamforming. The DL CSI is usually measured at mobile stations (MSs) through DL training and fed back to the BS in frequency division duplexing (FDD). The DL training and uplink (UL) feedback might become infeasible due to insufficient coherence time interval when the channel rapidly changes due to high speed of MSs. Without the feedback from MSs, it may be possible for the BS to directly obtain the DL CSI using the inherent relation of UL and DL channels even in FDD, which is called DL extrapolation. Although the exact relation would be highly nonlinear, previous studies have shown that a neural network (NN) can be used to estimate the DL CSI from the UL CSI at the BS. Most of previous works on this line of research trained the NN using full dimensional UL and DL channels; however, the NN training complexity becomes severe as the number of antennas at the BS increases. To reduce the training complexity and improve DL CSI estimation quality, this paper proposes a novel DL extrapolation technique using simplified input and output of the NN. It is shown through many measurement campaigns that the UL and DL channels still share common components like path delays and angles in FDD. The proposed technique first extracts these common coefficients from the UL and DL channels and trains the NN only using the path gains, which depend on frequency bands, with reduced dimension compared to the full UL and DL channels. Extensive simulation results show that the proposed technique outperforms the conventional approach, which relies on the full UL and DL channels to train the NN, regardless of the speed of MSs.

Highlights

  • Time division duplexing (TDD) is becoming popular due to its flexibility of supporting imbalanced uplink (UL) and downlink (DL) traffics and low overhead on channel state information (CSI) acquisition at base stations (BSs) when the number of antennas at the BS is large [1]

  • We consider the processing delay d = 5 msec caused in the process of the neural network (NN)-based DL extrapolation, which is explained in Remark 1

  • The accuracy of DL extrapolation is measured by the correlation factor, ρCORR, which is defined as ρCORR = E 1 K |hHkhk| . (29) K k=1 hk 2 hk 2

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Summary

INTRODUCTION

Time division duplexing (TDD) is becoming popular due to its flexibility of supporting imbalanced uplink (UL) and downlink (DL) traffics and low overhead on channel state information (CSI) acquisition at base stations (BSs) when the number of antennas at the BS is large [1]. Most of previous works relied on long term channel statistics to reduce the training and feedback overhead [6]–[12] Effective, these approaches are vulnerable to the lack of coherence time interval, which usually happens when mobile stations (MSs) travel with high speed. Some UL and DL channel parameters experience the reciprocity in FDD, it is critical to define physical relation between the two channels in different frequencies for the DL extrapolation to work. It is very difficult, to show the relationship mathematically because the relationship is governed by the Maxwell’s equations with practical environments, e.g., buildings, trees, or vehicles, as boundary conditions, which makes the relationship highly nonlinear.

SYSTEM MODEL
CONVENTIONAL DL TRAINING
UL TRAINING
Nullspcae projection
DEEP LEARNING SETTINGS
NUMERICAL RESULTS
CONCLUSION
Full Text
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