A Training-Based Mutual Information Lower Bound for Large-Scale Systems

We provide a mutual information lower bound that can be used to analyze the effect of training in models with unknown parameters. For large-scale systems, we show that this bound can be calculated using the difference between two derivatives of a conditional entropy function. We provide a step-by-st...

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Veröffentlicht in:IEEE transactions on communications 2022-08, Vol.70 (8), p.5151-5163
Hauptverfasser: Gao, Kang, Meng, Xiangbo, Laneman, J. Nicholas, Chisum, Jonathan D., Bendlin, Ralf, Chopra, Aditya, Hochwald, Bertrand M.
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container_end_page 5163
container_issue 8
container_start_page 5151
container_title IEEE transactions on communications
container_volume 70
creator Gao, Kang
Meng, Xiangbo
Laneman, J. Nicholas
Chisum, Jonathan D.
Bendlin, Ralf
Chopra, Aditya
Hochwald, Bertrand M.
description We provide a mutual information lower bound that can be used to analyze the effect of training in models with unknown parameters. For large-scale systems, we show that this bound can be calculated using the difference between two derivatives of a conditional entropy function. We provide a step-by-step process for computing the bound, and apply the steps to a quantized large-scale multiple-antenna wireless communication system with an unknown channel. Numerical results demonstrate the interplay between quantization and training.
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subjects Analytical models
Coherence time
Entropy
Gaussian noise
Information rates
Large-scale systems
Lower bounds
Mutual information
Training
Wireless communication systems
title A Training-Based Mutual Information Lower Bound for Large-Scale Systems
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