Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks

© 1972-2012 IEEE. Molecular communication in nature can incorporate a large number of nano-things in nanonetworks as well as demonstrate how nano-things communicate. This paper presents molecular communication where transmit nanomachines deliver information molecules to a receive nanomachine over an...

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Main Authors: Trinh, Dung Phuong, Jeong, Youngmin, Shin, Hyundong, Win, Moe Z
Other Authors: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE) 2021
Online Access:https://hdl.handle.net/1721.1/136601
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author Trinh, Dung Phuong
Jeong, Youngmin
Shin, Hyundong
Win, Moe Z
author2 Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
author_facet Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Trinh, Dung Phuong
Jeong, Youngmin
Shin, Hyundong
Win, Moe Z
author_sort Trinh, Dung Phuong
collection MIT
description © 1972-2012 IEEE. Molecular communication in nature can incorporate a large number of nano-things in nanonetworks as well as demonstrate how nano-things communicate. This paper presents molecular communication where transmit nanomachines deliver information molecules to a receive nanomachine over an anomalous diffusion channel. By considering a random molecule concentration in a space-time fractional diffusion channel, an analytical expression is derived for the first passage time (FPT) of the molecules. Then, the bit error rate of the ℓ th nearest molecular communication with timing binary modulation is derived in terms of Fox's H-function. In the presence of interfering molecules, the mean and variance of the number of the arrived interfering molecules in a given time interval are presented. Using these statistics, a simple mitigation scheme for timing modulation is provided. The results in this paper provide the network performance on the error probability by averaging over a set of random distances between the communicating links as well as a set of random FPTs caused by the anomalous diffusion of molecules. This result will help in designing and developing molecular communication systems for various design purposes.
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spelling mit-1721.1/1366012023-10-05T19:50:05Z Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks Trinh, Dung Phuong Jeong, Youngmin Shin, Hyundong Win, Moe Z Massachusetts Institute of Technology. Laboratory for Information and Decision Systems © 1972-2012 IEEE. Molecular communication in nature can incorporate a large number of nano-things in nanonetworks as well as demonstrate how nano-things communicate. This paper presents molecular communication where transmit nanomachines deliver information molecules to a receive nanomachine over an anomalous diffusion channel. By considering a random molecule concentration in a space-time fractional diffusion channel, an analytical expression is derived for the first passage time (FPT) of the molecules. Then, the bit error rate of the ℓ th nearest molecular communication with timing binary modulation is derived in terms of Fox's H-function. In the presence of interfering molecules, the mean and variance of the number of the arrived interfering molecules in a given time interval are presented. Using these statistics, a simple mitigation scheme for timing modulation is provided. The results in this paper provide the network performance on the error probability by averaging over a set of random distances between the communicating links as well as a set of random FPTs caused by the anomalous diffusion of molecules. This result will help in designing and developing molecular communication systems for various design purposes. 2021-10-27T20:36:11Z 2021-10-27T20:36:11Z 2019 2021-05-05T16:47:01Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/136601 en 10.1109/TCOMM.2019.2940575 IEEE Transactions on Communications Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv
spellingShingle Trinh, Dung Phuong
Jeong, Youngmin
Shin, Hyundong
Win, Moe Z
Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks
title Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks
title_full Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks
title_fullStr Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks
title_full_unstemmed Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks
title_short Molecular Communication with Anomalous Diffusion in Stochastic Nanonetworks
title_sort molecular communication with anomalous diffusion in stochastic nanonetworks
url https://hdl.handle.net/1721.1/136601
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