Diffusive MIMO Molecular Communications: Channel Estimation, Equalization and Detection

Rouzegar, S. M. Reza; Spagnolini, Umberto

doi:10.48550/arxiv.1809.06332

Cited by 1 publication

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“…The communication of nano-machines takes place between transmitters and receivers, which can be, more commonly, either absorbing or observing [23], whereas the information is usually mediated by the diffusion or by the convection-diffusion of messenger molecules inside a microfluidic channel [24][25][26][27]. The impulse response of a diffusion channel with observing receivers is conceptually easier to obtain since the existence of the receiver does not alter the boundary conditions of the diffusion equation.…”

Section: Introductionmentioning

confidence: 99%

Analytical estimation for the impulse response of an n-dimensional diffusion channel with an absorbing receiver

Dinc¹

2019

J. Phys. A: Math. Theor.

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In this letter, we derive an analytic estimate of the impulse response for the n-dimensional unbounded diffusion channel with a spherical absorbing receiver. We use generalized method of images to exploit the hidden phase space symmetries while finding an estimate impulse response for the 2D unbounded channel, for which no exact result exists in the literature. Then, the analytic estimate is compared with effective geometry Monte-Carlo simulations and an error analysis is performed. In particular, a chi-squared analysis is carried out to illustrate the goodness of fit of the estimate. Finally, we propose a second method to derive a nearly exact impulse response with a trade-off of more computation, where the unbounded space is modelled by a bounded space with a far-away ad hoc boundary and the diffusion equation is solved in this finite region.

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Section: Introductionmentioning

confidence: 99%

Analytical estimation for the impulse response of an n-dimensional diffusion channel with an absorbing receiver

Dinc¹

2019

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

Diffusive MIMO Molecular Communications: Channel Estimation, Equalization and Detection

Cited by 1 publication

References 0 publications

Analytical estimation for the impulse response of an n-dimensional diffusion channel with an absorbing receiver

Analytical estimation for the impulse response of an n-dimensional diffusion channel with an absorbing receiver

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