2014
DOI: 10.1109/jsac.2014.2367673
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Capacity of the Memoryless Additive Inverse Gaussian Noise Channel

Abstract: The memoryless additive inverse Gaussian noise channel model describing communication based on the exchange of chemical molecules in a drifting liquid medium is investigated for the situation of simultaneously an average-delay and a peak-delay constraint. Analytical upper and lower bounds on its capacity in bits per molecule use are presented. These bounds are shown to be asymptotically tight, i.e., for the delay constraints tending to infinity with their ratio held constant (or for the drift velocity of the f… Show more

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Cited by 64 publications
(55 citation statements)
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“…Observe from the figure that the approximation of t * in (14) is in good agreement with the solution in (9). In this regime, the duration the enzyme can be active while still ensuring coexistence is dependent only on the maximum perturbation ∆, the initial concentration of the enzyme E 0 , and the reaction rate coefficient k cat .…”
Section: Enzyme-aided Molecular Communicationssupporting
confidence: 66%
“…Observe from the figure that the approximation of t * in (14) is in good agreement with the solution in (9). In this regime, the duration the enzyme can be active while still ensuring coexistence is dependent only on the maximum perturbation ∆, the initial concentration of the enzyme E 0 , and the reaction rate coefficient k cat .…”
Section: Enzyme-aided Molecular Communicationssupporting
confidence: 66%
“…Let T rls denote the vector containing the release times of the molecules by the transmitter and let T arv be the vector containing the respective arrival times of the molecules at the receiver. Thus, T arv is related to T rls according to [95], [96], [97], [98], [99], [100] T arv = T rls + T dly ,…”
Section: A Unified Signal Definitionmentioning
confidence: 99%
“…A5) Initially, there are no information particles in the environment and the particles that arrive at the receiver are the ones released by the transmitter. Note that these assumptions are typical in the study of molecular communication systems [20], [43]- [50].…”
Section: System Modelsmentioning
confidence: 99%
“…In this case the noise term follows the inverse Gaussian (IG) distribution. Capacity bounds for the additive IG noise channel, in bits per channel use, under an average delay constraint, were derived in [19], [20]. In [1], we have shown that in the case of timing-based modulation, where information is encoded on the release timing of particles, and pure diffusive transport (i.e., diffusion without any flow) is employed, the channel can be represented as an additive noise channel where the noise follows the Lévy distribution.…”
Section: Introductionmentioning
confidence: 99%