Normal Inverse Gaussian Approximation for Arrival Time Difference in Flow-Induced Molecular Communications

09/26/2018
by   Werner Haselmayr, et al.
0

In this paper, we consider molecular communications in one-dimensional flow-induced diffusion channels with a perfectly absorbing receiver. In such channels, the random propagation delay until the molecules are absorbed follows an inverse Gaussian (IG) distribution and is referred to as first hitting time. Knowing the distribution for the difference of the first hitting times of two molecules is very important if the information is encoded by a limited set of molecules and the receiver exploits their arrival time and/or order. Hence, we propose a moment matching approximation by a normal inverse Gaussian (NIG) distribution and we derive an expression for the asymptotic tail probability. Numerical evaluations showed that the NIG approximation matches very well with the exact solution obtained by numerical convolution of the IG density functions. Moreover, the asymptotic tail probability outperforms state-of-the-art tail approximations.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/30/2019

A Novel Time-Based Modulation Scheme in Time-Asynchronous Channels for Molecular Communications

In this paper, a novel time-based modulation scheme is proposed in the t...
research
07/08/2021

Molecular Communication with Passive Receivers in Anomalous Diffusion Channels

We consider anomalous diffusion for molecular communication with a passi...
research
11/04/2019

Molecular Communication in H-Diffusion

The random propagation of molecules in a fluid medium is characterized b...
research
06/14/2023

Characterizing First Arrival Position Channels: Noise Distribution and Capacity Analysis

This paper addresses two fundamental problems in diffusive molecular com...
research
09/30/2022

Equivariant Energy-Guided SDE for Inverse Molecular Design

Inverse molecular design is critical in material science and drug discov...
research
08/07/2018

Fisher information matrix for moving single molecules with stochastic trajectories

Tracking of objects in cellular environments has become a vital tool in ...
research
07/05/2020

On Molecular Flow Velocity Meters

The concentration of molecules in the medium can provide us very useful ...

Please sign up or login with your details

Forgot password? Click here to reset