On the capacity of diffusion-based molecular timing channels

Farsad, Nariman; Murin, Yonathan; Eckford, Andrew W.; Goldsmith, Andrea

doi:10.1109/isit.2016.7541454

Cited by 36 publications

(57 citation statements)

References 14 publications

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“…As part of future work, we will explore extending the results to the case where multiple information particles are released simultaneously instead of one. Note that some of our current ongoing work has shown that simultaneously releasing multiple particles can improve the performance of the first system significantly [24], [27]. We would like to extend these results to the asynchronous systems presented in this paper using order statistics.…”

Section: Discussionmentioning

confidence: 66%

Communication System Design and Analysis for Asynchronous Molecular Timing Channels

Farsad

Murin

Guo

et al. 2017

IEEE Trans. Mol. Biol. Multi-Scale Commun.

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Two new asynchronous modulation techniques for molecular timing (MT) channels are proposed. One based on modulating information on the time between two consecutive releases of indistinguishable information particles, and one based on using distinguishable particles. For comparison, we consider the synchronized modulation scheme where information is encoded in the time of release and decoded from the time of arrival of particles. We show that all three modulation techniques result in a system that can be modeled as an additive noise channel, and we derive the expression for the probability density function of the noise. Next, we focus on binary communication and derive the associated optimal detection rules for each modulation. Since the noise associated with these modulations has an infinite variance, geometric power is used as a measure for the noise power, and we derive an expression for the geometric SNR (G-SNR) for each modulation scheme. Numerical evaluations indicate that for these systems the bit error rate (BER) is constant at a given G-SNR, similar to the relation between BER and SNR in additive Gaussian noise channels. We also demonstrate that the asynchronous modulation based on two distinguishable particles can achieve a BER performance close to the synchronized modulation scheme.

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Section: Discussionmentioning

confidence: 66%

Communication System Design and Analysis for Asynchronous Molecular Timing Channels

Farsad

Murin

Guo

et al. 2017

IEEE Trans. Mol. Biol. Multi-Scale Commun.

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“…Based on this assumption, the elements in T dly are independent and identically distributed and assume only non-negative real values. For an unbounded 1D environment, the random observation delay follows a Levy distribution if no flow is present [97] and the inverse Gaussian distribution if flow in the direction of the receiver is present [95]. We note that, in practice, T arv is not available at the receiver since i) different molecules of the same type are indistinguishable by the receiver and ii) out of the total number of released molecules, only n arv (t) molecules are observed by time t. In fact, T arv (t) is the actual observation signal available to the receiver.…”

Section: A Unified Signal Definitionmentioning

confidence: 99%

Channel Modeling for Diffusive Molecular Communication—A Tutorial Review

et al. 2019

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Molecular communication (MC) is a new communication engineering paradigm where molecules are employed as information carriers. MC systems are expected to enable new revolutionary applications such as sensing of target substances in biotechnology, smart drug delivery in medicine, and monitoring of oil pipelines or chemical reactors in industrial settings. As for any other kind of communication, simple yet sufficiently accurate channel models are needed for the design, analysis, and efficient operation of MC systems. In this paper, we provide a tutorial review on mathematical channel modeling for diffusive MC systems. The considered end-to-end MC channel models incorporate the effects of the release mechanism, the MC environment, and the reception mechanism on the observed information molecules. Thereby, the various existing models for the different components of an MC system are presented under a common framework and the underlying biological, chemical, and physical phenomena are discussed. Deterministic models characterizing the expected number of molecules observed at the receiver and statistical models characterizing the actual number of observed molecules are developed. In addition, we provide channel models for timevarying MC systems with moving transmitters and receivers, which are relevant for advanced applications such as smart drug delivery with mobile nanomachines. For complex scenarios, where simple MC channel models cannot be obtained from first principles, we investigate simulation-driven and experimentallydriven channel models. Finally, we provide a detailed discussion of potential challenges, open research problems, and future directions in channel modeling for diffusive MC systems.

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“…We now ask: What is the range of τ where D FA ≥ D LA ? To answer this question we compare (12) and (21) and write:…”

Section: Comparing the Fa And La Detectorsmentioning

confidence: 99%

“…Next, we consider the truncated (clipped) Lévy and IG distributions. 2) The Truncated Lévy and IG Distributions: Considering the truncated Lévy and IG distributions is motivated by scenarios where the information particles degrade over time [21], [24]. Specifically, these truncated distributions model a finite lifespan of the particles, where the particles are dissipated immediately after the time interval [0, τ ].…”

Section: B Densities With τ < ∞mentioning

confidence: 99%

Exploiting Diversity in One-Shot Molecular Timing Channels via Order Statistics

Murin

Farsad

Chowdhury

et al. 2018

IEEE Trans. Mol. Biol. Multi-Scale Commun.

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We study diversity in one-shot communication over molecular timing channels. We consider a channel model where the transmitter simultaneously releases a large number of information particles, while the information is encoded in the time of release. The receiver decodes the information based on the random time of arrival of the information particles. The random propagation is characterized by the general class of right-sided unimodal densities. We characterize the asymptotic exponential decrease rate of the probability of error as a function of the number of released particles, and denote this quantity as the system diversity gain. Four types of detectors are considered: the maximum-likelihood (ML) detector, a linear detector, a detector that is based on the first arrival (FA) among all the transmitted particles, and a detector based on the last arrival (LA). When the density characterizing the random propagation is supported over a large interval, we show that the simple FA detector achieves a diversity gain very close to that of the ML detector. On the other hand, when the density characterizing the random propagation is supported over a small interval, we show that the simple LA detector achieves a diversity gain very close to that of the ML detector.The authors are with the

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On the capacity of diffusion-based molecular timing channels

Cited by 36 publications

References 14 publications

Communication System Design and Analysis for Asynchronous Molecular Timing Channels

Communication System Design and Analysis for Asynchronous Molecular Timing Channels

Channel Modeling for Diffusive Molecular Communication—A Tutorial Review

Exploiting Diversity in One-Shot Molecular Timing Channels via Order Statistics

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