Sinzger, Mark ; Gehri, Maximilian ; Koeppl, Heinz (2022)
Poisson channel with binary Markov input and average sojourn time constraint.
ISIT'20 - International Symposium on Information Theory. Online (21.06.2020-26.06.2020)
doi: 10.26083/tuprints-00021525
Conference or Workshop Item, Secondary publication, Postprint
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Item Type: | Conference or Workshop Item | ||||
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Type of entry: | Secondary publication | ||||
Title: | Poisson channel with binary Markov input and average sojourn time constraint | ||||
Language: | English | ||||
Date: | 20 July 2022 | ||||
Place of Publication: | Darmstadt | ||||
Year of primary publication: | 2020 | ||||
Publisher: | IEEE | ||||
Book Title: | 2020 IEEE International Symposium on Information Theory: Proceedings | ||||
Event Title: | ISIT'20 - International Symposium on Information Theory | ||||
Event Location: | Online | ||||
Event Dates: | 21.06.2020-26.06.2020 | ||||
DOI: | 10.26083/tuprints-00021525 | ||||
Corresponding Links: | |||||
Origin: | Secondary publication service | ||||
Abstract: | A minimal model for gene expression, consisting of a switchable promoter together with the resulting messenger RNA, is equivalent to a Poisson channel with a binary Markovian input process. Determining its capacity is an optimization problem with respect to two parameters: the average sojourn times of the promoter’s active (ON) and inactive (OFF) state. An expression for the mutual information is found by solving the associated filtering problem analytically on the level of distributions. For fixed peak power, three bandwidth-like constraints are imposed by lower-bounding (i) the average sojourn times (ii) the autocorrelation time and (iii) the average time until a transition. OFFfavoring optima are found for all three constraints, as commonly encountered for the Poisson channel. In addition, constraint (i) exhibits a region that favors the ON state, and (iii) shows ONfavoring local optima. |
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Status: | Postprint | ||||
URN: | urn:nbn:de:tuda-tuprints-215259 | ||||
Classification DDC: | 500 Science and mathematics > 570 Life sciences, biology 600 Technology, medicine, applied sciences > 620 Engineering and machine engineering |
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Divisions: | 18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications > Bioinspired Communication Systems 18 Department of Electrical Engineering and Information Technology > Institute for Telecommunications Interdisziplinäre Forschungsprojekte > Centre for Synthetic Biology |
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Date Deposited: | 20 Jul 2022 12:28 | ||||
Last Modified: | 23 May 2024 11:20 | ||||
URI: | https://tuprints.ulb.tu-darmstadt.de/id/eprint/21525 | ||||
PPN: | 497909448 | ||||
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