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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

25 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 languageEnglish
Title of host publicationProceedings of the 2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015
PublisherAssociation for Computing Machinery, Inc
ISBN (Electronic)9781450336741
DOIs
Publication statusPublished - 2015 Sep 21
Event2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015 - Boston, United States
Duration: 2015 Sep 212015 Sep 22

Publication series

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

Other

Other2nd ACM International Conference on Nanoscale Computing and Communication, ACM NANOCOM 2015
CountryUnited States
CityBoston
Period15/9/2115/9/22

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Computer Networks and Communications
  • Communication

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  • 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