TY - JOUR
T1 - Arrival modelling for molecular communication via diffusion
AU - Yilmaz, H. Birkan
AU - Chae, Chan Byoung
N1 - Publisher Copyright:
© The Institution of Engineering and Technology 2014.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2014/11/6
Y1 - 2014/11/6
N2 - The arrival of molecules in molecular communication via diffusion obeys, by its nature, the binomial distribution, considering the hitting probability as the success probability. It is, however, hard to work with the binomial cumulative distribution function (CDF) when considering consecutively sent symbols as it is necessary to add the distribution. Therefore, in the literature, two approximations of the binomial distribution are used. In the present reported work, the Gaussian and Poisson approximations of the binomial model of the molecule arrival process have been analysed. Considering the distance and the number of emitted molecules, the regions in which the Poisson or Gaussian model is better in terms of root mean squared error of CDFs are investigated and the regions using numerical simulations are confirmed.
AB - The arrival of molecules in molecular communication via diffusion obeys, by its nature, the binomial distribution, considering the hitting probability as the success probability. It is, however, hard to work with the binomial cumulative distribution function (CDF) when considering consecutively sent symbols as it is necessary to add the distribution. Therefore, in the literature, two approximations of the binomial distribution are used. In the present reported work, the Gaussian and Poisson approximations of the binomial model of the molecule arrival process have been analysed. Considering the distance and the number of emitted molecules, the regions in which the Poisson or Gaussian model is better in terms of root mean squared error of CDFs are investigated and the regions using numerical simulations are confirmed.
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U2 - 10.1049/el.2014.2943
DO - 10.1049/el.2014.2943
M3 - Article
AN - SCOPUS:84912117968
VL - 50
SP - 1667
EP - 1669
JO - Electronics Letters
JF - Electronics Letters
SN - 0013-5194
IS - 23
ER -