Square root approximation to the poisson channel

A. Tsiatmas; F.M.J. Willems; C.P.M.J. Baggen

doi:10.1109/ISIT.2013.6620516

Square root approximation to the poisson channel

A. Tsiatmas, F.M.J. Willems, C.P.M.J. Baggen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

15 Citations (Scopus)

Abstract

Starting from the Poisson model we present a channel model for optical communications, called the Square Root (SR) Channel, in which the noise is additive Gaussian with constant variance. Initially, we prove that for large peak or average power, the transmission rate of a Poisson Channel when coding and decoding methods for the SR Channel are used, converges to the capacity of the Poisson Channel. Then, we derive bounds and asymptotic expressions for the capacity of the SR Channel, and compare them to those of other optical channel models. Finally, signal-independent noise sources are discussed.

Original language	English
Title of host publication	2013 IEEE International Symposium on Information Theory Proceedings (ISIT), 7-12 July 2013, Istanbul, Turkey
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	1695-1699
DOIs	https://doi.org/10.1109/ISIT.2013.6620516
Publication status	Published - 2013

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10.1109/ISIT.2013.6620516

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title = "Square root approximation to the poisson channel",

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Square root approximation to the poisson channel. / Tsiatmas, A.; Willems, F.M.J.; Baggen, C.P.M.J.
2013 IEEE International Symposium on Information Theory Proceedings (ISIT), 7-12 July 2013, Istanbul, Turkey. Piscataway: Institute of Electrical and Electronics Engineers, 2013. p. 1695-1699.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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T1 - Square root approximation to the poisson channel

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AU - Baggen, C.P.M.J.

PY - 2013

Y1 - 2013

N2 - Starting from the Poisson model we present a channel model for optical communications, called the Square Root (SR) Channel, in which the noise is additive Gaussian with constant variance. Initially, we prove that for large peak or average power, the transmission rate of a Poisson Channel when coding and decoding methods for the SR Channel are used, converges to the capacity of the Poisson Channel. Then, we derive bounds and asymptotic expressions for the capacity of the SR Channel, and compare them to those of other optical channel models. Finally, signal-independent noise sources are discussed.

AB - Starting from the Poisson model we present a channel model for optical communications, called the Square Root (SR) Channel, in which the noise is additive Gaussian with constant variance. Initially, we prove that for large peak or average power, the transmission rate of a Poisson Channel when coding and decoding methods for the SR Channel are used, converges to the capacity of the Poisson Channel. Then, we derive bounds and asymptotic expressions for the capacity of the SR Channel, and compare them to those of other optical channel models. Finally, signal-independent noise sources are discussed.

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DO - 10.1109/ISIT.2013.6620516

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BT - 2013 IEEE International Symposium on Information Theory Proceedings (ISIT), 7-12 July 2013, Istanbul, Turkey

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

Square root approximation to the poisson channel

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