Arrival modeling and error analysis for molecular communication via diffusion with drift

H. Birkan Yilmaz; Chan Byoung Chae; Burcu Tepekule; Ali E. Pusane

doi:10.1145/2800795.2800816

Arrival modeling and error analysis for molecular communication via diffusion with drift

H. Birkan Yilmaz, Chan Byoung Chae, Burcu Tepekule, Ali E. Pusane

School of Integrated Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

38 Citations (Scopus)

Abstract

The arrival of molecules in molecular communication via diffusion (MCvD) is a counting process and exhibits binomial distribution by its nature. Even if the arrival of molecules is described well by the binomial process, the binomial cumulative distribution function (CDF) is difficult to work with when considering consecutively sent symbols. Therefore, in the literature, Poisson and Gaussian approximations of the binomial distribution are used. In this paper, we analyze these two approximations of the binomial model of the arrival process in MCvD with drift. We investigate the regions in which either Poisson or Gaussian model is better in terms of root mean squared error (RMSE) of the CDFs with varying the distance, drift velocity, and the number of emitted molecules. Moreover, we confirm the boundaries of the region via numerical simulations and derive the error probabilities for continuous communication and analyze which model approximates it more accurately.

Original language	English
Title of host publication	Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015
Publisher	Association for Computing Machinery, Inc
ISBN (Electronic)	9781450336741
DOIs	https://doi.org/10.1145/2800795.2800816
Publication status	Published - 2015 Sept 21
Event	2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015 - Boston, United States Duration: 2015 Sept 21 → 2015 Sept 22

Publication series

Name	Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015

Other

Other	2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015
Country/Territory	United States
City	Boston
Period	15/9/21 → 15/9/22

Bibliographical note

Funding Information:
This research was supported by the MSIP (Ministry of Science, ICT and Future Planning), Korea, under the “IT Consilience Creative Program” (IITP-2015-R0346-15-1008) supervised by the IITP (Institute for Information & Communications Technology Promotion) and by the Basic Science Research Program (2014R1A1A1002186) funded by the MSIP, Korea, through the National Research Foundation of Korea.

Publisher Copyright:
© 2015 ACM.

All Science Journal Classification (ASJC) codes

Computational Theory and Mathematics
Computer Networks and Communications
Communication

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10.1145/2800795.2800816

Cite this

Yilmaz, H. B., Chae, C. B., Tepekule, B., & Pusane, A. E. (2015). Arrival modeling and error analysis for molecular communication via diffusion with drift. In Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015 [A26] (Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015). Association for Computing Machinery, Inc. https://doi.org/10.1145/2800795.2800816

Yilmaz, H. Birkan ; Chae, Chan Byoung ; Tepekule, Burcu et al. / Arrival modeling and error analysis for molecular communication via diffusion with drift. Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015. Association for Computing Machinery, Inc, 2015. (Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015).

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abstract = "The arrival of molecules in molecular communication via diffusion (MCvD) is a counting process and exhibits binomial distribution by its nature. Even if the arrival of molecules is described well by the binomial process, the binomial cumulative distribution function (CDF) is difficult to work with when considering consecutively sent symbols. Therefore, in the literature, Poisson and Gaussian approximations of the binomial distribution are used. In this paper, we analyze these two approximations of the binomial model of the arrival process in MCvD with drift. We investigate the regions in which either Poisson or Gaussian model is better in terms of root mean squared error (RMSE) of the CDFs with varying the distance, drift velocity, and the number of emitted molecules. Moreover, we confirm the boundaries of the region via numerical simulations and derive the error probabilities for continuous communication and analyze which model approximates it more accurately.",

author = "Yilmaz, {H. Birkan} and Chae, {Chan Byoung} and Burcu Tepekule and Pusane, {Ali E.}",

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Yilmaz, HB, Chae, CB, Tepekule, B & Pusane, AE 2015, Arrival modeling and error analysis for molecular communication via diffusion with drift. in Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015., A26, Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015, Association for Computing Machinery, Inc, 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015, Boston, United States, 15/9/21. https://doi.org/10.1145/2800795.2800816

Arrival modeling and error analysis for molecular communication via diffusion with drift. / Yilmaz, H. Birkan; Chae, Chan Byoung; Tepekule, Burcu et al.
Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015. Association for Computing Machinery, Inc, 2015. A26 (Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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AU - Yilmaz, H. Birkan

AU - Chae, Chan Byoung

AU - Tepekule, Burcu

AU - Pusane, Ali E.

N1 - Funding Information: This research was supported by the MSIP (Ministry of Science, ICT and Future Planning), Korea, under the “IT Consilience Creative Program” (IITP-2015-R0346-15-1008) supervised by the IITP (Institute for Information & Communications Technology Promotion) and by the Basic Science Research Program (2014R1A1A1002186) funded by the MSIP, Korea, through the National Research Foundation of Korea. Publisher Copyright: © 2015 ACM.

PY - 2015/9/21

Y1 - 2015/9/21

N2 - The arrival of molecules in molecular communication via diffusion (MCvD) is a counting process and exhibits binomial distribution by its nature. Even if the arrival of molecules is described well by the binomial process, the binomial cumulative distribution function (CDF) is difficult to work with when considering consecutively sent symbols. Therefore, in the literature, Poisson and Gaussian approximations of the binomial distribution are used. In this paper, we analyze these two approximations of the binomial model of the arrival process in MCvD with drift. We investigate the regions in which either Poisson or Gaussian model is better in terms of root mean squared error (RMSE) of the CDFs with varying the distance, drift velocity, and the number of emitted molecules. Moreover, we confirm the boundaries of the region via numerical simulations and derive the error probabilities for continuous communication and analyze which model approximates it more accurately.

AB - The arrival of molecules in molecular communication via diffusion (MCvD) is a counting process and exhibits binomial distribution by its nature. Even if the arrival of molecules is described well by the binomial process, the binomial cumulative distribution function (CDF) is difficult to work with when considering consecutively sent symbols. Therefore, in the literature, Poisson and Gaussian approximations of the binomial distribution are used. In this paper, we analyze these two approximations of the binomial model of the arrival process in MCvD with drift. We investigate the regions in which either Poisson or Gaussian model is better in terms of root mean squared error (RMSE) of the CDFs with varying the distance, drift velocity, and the number of emitted molecules. Moreover, we confirm the boundaries of the region via numerical simulations and derive the error probabilities for continuous communication and analyze which model approximates it more accurately.

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M3 - Conference contribution

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T3 - Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015

BT - Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015

PB - Association for Computing Machinery, Inc

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Y2 - 21 September 2015 through 22 September 2015

ER -

Yilmaz HB, Chae CB, Tepekule B, Pusane AE. Arrival modeling and error analysis for molecular communication via diffusion with drift. In Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015. Association for Computing Machinery, Inc. 2015. A26. (Proceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015). doi: 10.1145/2800795.2800816

Arrival modeling and error analysis for molecular communication via diffusion with drift

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