Entropy Rate of Time-Varying Wireless Networks

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Abstract

In this paper, we present a detailed framework to analyze the evolution of the random topology of a time-varying wireless network via the information theoretic notion of entropy rate. We consider a propagation channel varying over time with random node positions in a closed space and Rayleigh fading affecting the connections between nodes. The existence of an edge between two nodes at given locations is modeled by a Markov chain, enabling memory effects in network dynamics. We then derive a lower and an upper bound on the entropy rate of the spatiotemporal network. The entropy rate measures the shortest per-step description of the stationary stochastic process defining the state of the wireless system and depends both on the maximum Doppler shift and the path loss exponent. It characterizes the topological uncertainty of the wireless network and quantifies how quickly the underlying topology is varying with time.
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In this paper, we present a detailed framework to analyze the evolution of the random topology of a time-varying wireless network via the information theoretic notion of entropy rate. We consider a propagation channel varying over time with random node positions in a closed space and Rayleigh fading affecting the connections between nodes. The existence of an edge between two nodes at given locations is modeled by a Markov chain, enabling memory effects in network dynamics. We then derive a lower and an upper bound on the entropy rate of the spatiotemporal network. The entropy rate measures the shortest per-step description of the stationary stochastic process defining the state of the wireless system and depends both on the maximum Doppler shift and the path loss exponent. It characterizes the topological uncertainty of the wireless network and quantifies how quickly the underlying topology is varying with time.
Original languageEnglish
Title of host publicationIEEE Global Communications Conference (Globecom)
Number of pages6
PublisherIEEE
Publication date21 Feb 2019
ISBN (Print)978-1-5386-4728-8
ISBN (Electronic)978-1-5386-4727-1
DOI
Publication statusPublished - 21 Feb 2019
Publication categoryResearch
Peer-reviewedYes
EventIEEE Global Communications Conference - Abu Dhabi, United Arab Emirates
Duration: 9 Dec 201813 Dec 2018
http://globecom2018.ieee-globecom.org/

Conference

ConferenceIEEE Global Communications Conference
LandUnited Arab Emirates
ByAbu Dhabi
Periode09/12/201813/12/2018
Internetadresse

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