Entropy rate of time-varying wireless networks
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...
| Main Authors: | , , , |
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| Format: | Conference item |
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Institute of Electrical and Electronics Engineers
2019
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| _version_ | 1826272329065299968 |
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| author | Cika, A Badiu, M Coon, J Etemadi Tajbakhsh, S |
| author_facet | Cika, A Badiu, M Coon, J Etemadi Tajbakhsh, S |
| author_sort | Cika, A |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-06T22:10:49Z |
| format | Conference item |
| id | oxford-uuid:51bff088-67e6-4bbf-b3bf-fa417a76ea47 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T22:10:49Z |
| publishDate | 2019 |
| publisher | Institute of Electrical and Electronics Engineers |
| record_format | dspace |
| spelling | oxford-uuid:51bff088-67e6-4bbf-b3bf-fa417a76ea472022-03-26T16:21:24ZEntropy rate of time-varying wireless networksConference itemhttp://purl.org/coar/resource_type/c_5794uuid:51bff088-67e6-4bbf-b3bf-fa417a76ea47Symplectic Elements at OxfordInstitute of Electrical and Electronics Engineers2019Cika, ABadiu, MCoon, JEtemadi Tajbakhsh, SIn 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. |
| spellingShingle | Cika, A Badiu, M Coon, J Etemadi Tajbakhsh, S Entropy rate of time-varying wireless networks |
| title | Entropy rate of time-varying wireless networks |
| title_full | Entropy rate of time-varying wireless networks |
| title_fullStr | Entropy rate of time-varying wireless networks |
| title_full_unstemmed | Entropy rate of time-varying wireless networks |
| title_short | Entropy rate of time-varying wireless networks |
| title_sort | entropy rate of time varying wireless networks |
| work_keys_str_mv | AT cikaa entropyrateoftimevaryingwirelessnetworks AT badium entropyrateoftimevaryingwirelessnetworks AT coonj entropyrateoftimevaryingwirelessnetworks AT etemaditajbakhshs entropyrateoftimevaryingwirelessnetworks |