A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime
We study the discrete-time Poisson channel under the constraint that its average input power (in photons per channel use) must not exceed some constant ε. We consider the wideband, high-photon-efficiency extreme where ε approaches zero, and where the channel's dark current approaches zero propo...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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Institute of Electrical and Electronics Engineers (IEEE)
2014
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| Online Access: | http://hdl.handle.net/1721.1/91054 https://orcid.org/0000-0001-9166-4758 |
| _version_ | 1826204562072010752 |
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| author | Wang, Ligong Wornell, Gregory W. |
| author2 | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science |
| author_facet | Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Wang, Ligong Wornell, Gregory W. |
| author_sort | Wang, Ligong |
| collection | MIT |
| description | We study the discrete-time Poisson channel under the constraint that its average input power (in photons per channel use) must not exceed some constant ε. We consider the wideband, high-photon-efficiency extreme where ε approaches zero, and where the channel's dark current approaches zero proportionally with ε. Improving over a previously obtained first-order capacity approximation, we derive a refined approximation, which includes the exact characterization of the second-order term, as well as an asymptotic characterization of the third-order term with respect to the dark current. We also show that pulse-position modulation is nearly optimal in this regime. |
| first_indexed | 2024-09-23T12:57:26Z |
| format | Article |
| id | mit-1721.1/91054 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:57:26Z |
| publishDate | 2014 |
| publisher | Institute of Electrical and Electronics Engineers (IEEE) |
| record_format | dspace |
| spelling | mit-1721.1/910542022-09-28T11:08:21Z A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime Wang, Ligong Wornell, Gregory W. Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Research Laboratory of Electronics Wang, Ligong Wornell, Gregory W. We study the discrete-time Poisson channel under the constraint that its average input power (in photons per channel use) must not exceed some constant ε. We consider the wideband, high-photon-efficiency extreme where ε approaches zero, and where the channel's dark current approaches zero proportionally with ε. Improving over a previously obtained first-order capacity approximation, we derive a refined approximation, which includes the exact characterization of the second-order term, as well as an asymptotic characterization of the third-order term with respect to the dark current. We also show that pulse-position modulation is nearly optimal in this regime. United States. Defense Advanced Research Projects Agency. Information in a Photon (InPho) Program (Contract HR0011-10-C-0159) United States. Air Force Office of Scientific Research (Grant FA9550-11-1-0183) 2014-10-21T17:17:57Z 2014-10-21T17:17:57Z 2014-04 2014-03 Article http://purl.org/eprint/type/JournalArticle 0018-9448 1557-9654 http://hdl.handle.net/1721.1/91054 Wang, Ligong, and Gregory W. Wornell. “A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime.” IEEE Trans. Inform. Theory 60, no. 7 (July 2014): 4299–4311. https://orcid.org/0000-0001-9166-4758 en_US http://dx.doi.org/10.1109/TIT.2014.2320718 IEEE Transactions on Information Theory Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute of Electrical and Electronics Engineers (IEEE) arXiv |
| spellingShingle | Wang, Ligong Wornell, Gregory W. A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime |
| title | A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime |
| title_full | A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime |
| title_fullStr | A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime |
| title_full_unstemmed | A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime |
| title_short | A Refined Analysis of the Poisson Channel in the High-Photon-Efficiency Regime |
| title_sort | refined analysis of the poisson channel in the high photon efficiency regime |
| url | http://hdl.handle.net/1721.1/91054 https://orcid.org/0000-0001-9166-4758 |
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