Adaptive Discrete Motion Control for Mobile Relay Networks

We consider the problem of joint beamforming and discrete motion control for mobile relaying networks in dynamic channel environments. We assume a single source-destination communication pair. We adopt a general time slotted approach where, during each slot, every relay implements optimal beamformin...

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Main Authors: Spilios Evmorfos, Dionysios Kalogerias, Athina Petropulu
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-07-01
Series:Frontiers in Signal Processing
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/frsip.2022.867388/full
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author Spilios Evmorfos
Dionysios Kalogerias
Athina Petropulu
author_facet Spilios Evmorfos
Dionysios Kalogerias
Athina Petropulu
author_sort Spilios Evmorfos
collection DOAJ
description We consider the problem of joint beamforming and discrete motion control for mobile relaying networks in dynamic channel environments. We assume a single source-destination communication pair. We adopt a general time slotted approach where, during each slot, every relay implements optimal beamforming and estimates its optimal position for the subsequent slot. We assume that the relays move in a 2D compact square region that has been discretized into a fine grid. The goal is to derive discrete motion policies for the relays, in an adaptive fashion, so that they accommodate the dynamic changes of the channel and, therefore, maximize the Signal-to-Interference + Noise Ratio (SINR) at the destination. We present two different approaches for constructing the motion policies. The first approach assumes that the channel evolves as a Gaussian process and exhibits correlation with respect to both time and space. A stochastic programming method is proposed for estimating the relay positions (and the beamforming weights) based on causal information. The stochastic program is equivalent to a set of simple subproblems and the exact evaluation of the objective of each subproblem is impossible. To tackle this we propose a surrogate of the original subproblem that pertains to the Sample Average Approximation method. We denote this approach as model-based because it adopts the assumption that the underlying correlation structure of the channels is completely known. The second method is denoted as model-free, because it adopts no assumption for the channel statistics. For the scope of this approach, we set the problem of discrete relay motion control in a dynamic programming framework. Finally we employ deep Q learning to derive the motion policies. We provide implementation details that are crucial for achieving good performance in terms of the collective SINR at the destination.
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spelling doaj.art-b2c9bec895d146869f4ce261bbcf3f0a2022-12-22T02:29:08ZengFrontiers Media S.A.Frontiers in Signal Processing2673-81982022-07-01210.3389/frsip.2022.867388867388Adaptive Discrete Motion Control for Mobile Relay NetworksSpilios Evmorfos0Dionysios Kalogerias1Athina Petropulu2Electrical and Computer Engineering, Rutgers, The State University of New Jersey, New Brunswick, NJ, United StatesElectrical Engineering, Yale University, New Haven, CT, United StatesElectrical and Computer Engineering, Rutgers, The State University of New Jersey, New Brunswick, NJ, United StatesWe consider the problem of joint beamforming and discrete motion control for mobile relaying networks in dynamic channel environments. We assume a single source-destination communication pair. We adopt a general time slotted approach where, during each slot, every relay implements optimal beamforming and estimates its optimal position for the subsequent slot. We assume that the relays move in a 2D compact square region that has been discretized into a fine grid. The goal is to derive discrete motion policies for the relays, in an adaptive fashion, so that they accommodate the dynamic changes of the channel and, therefore, maximize the Signal-to-Interference + Noise Ratio (SINR) at the destination. We present two different approaches for constructing the motion policies. The first approach assumes that the channel evolves as a Gaussian process and exhibits correlation with respect to both time and space. A stochastic programming method is proposed for estimating the relay positions (and the beamforming weights) based on causal information. The stochastic program is equivalent to a set of simple subproblems and the exact evaluation of the objective of each subproblem is impossible. To tackle this we propose a surrogate of the original subproblem that pertains to the Sample Average Approximation method. We denote this approach as model-based because it adopts the assumption that the underlying correlation structure of the channels is completely known. The second method is denoted as model-free, because it adopts no assumption for the channel statistics. For the scope of this approach, we set the problem of discrete relay motion control in a dynamic programming framework. Finally we employ deep Q learning to derive the motion policies. We provide implementation details that are crucial for achieving good performance in terms of the collective SINR at the destination.https://www.frontiersin.org/articles/10.3389/frsip.2022.867388/fullrelay networksdiscrete motion controlstochastic programmingdynamic programmingdeep reinforcement learning
spellingShingle Spilios Evmorfos
Dionysios Kalogerias
Athina Petropulu
Adaptive Discrete Motion Control for Mobile Relay Networks
Frontiers in Signal Processing
relay networks
discrete motion control
stochastic programming
dynamic programming
deep reinforcement learning
title Adaptive Discrete Motion Control for Mobile Relay Networks
title_full Adaptive Discrete Motion Control for Mobile Relay Networks
title_fullStr Adaptive Discrete Motion Control for Mobile Relay Networks
title_full_unstemmed Adaptive Discrete Motion Control for Mobile Relay Networks
title_short Adaptive Discrete Motion Control for Mobile Relay Networks
title_sort adaptive discrete motion control for mobile relay networks
topic relay networks
discrete motion control
stochastic programming
dynamic programming
deep reinforcement learning
url https://www.frontiersin.org/articles/10.3389/frsip.2022.867388/full
work_keys_str_mv AT spiliosevmorfos adaptivediscretemotioncontrolformobilerelaynetworks
AT dionysioskalogerias adaptivediscretemotioncontrolformobilerelaynetworks
AT athinapetropulu adaptivediscretemotioncontrolformobilerelaynetworks