The poisson channel with side information

Authors:
Shraga Bross;Amos Lapidoth;Ligong Wang
Affiliations:
School of Enginerring, Bar-Ilan University, Israel;Signal and Information Processing Laboratory, ETH Zurich, Switzerland;Signal and Information Processing Laboratory, ETH Zurich, Switzerland
Venue:
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
Year:
2009

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Abstract

The continuous-time, peak-limited, infinite-bandwidth Poisson channel with spurious counts is considered. It is shown that if the times at which the spurious counts occur are known noncausally to the transmitter but not to the receiver, then the capacity is equal to that of the Poisson channel with no spurious counts. Knowing the times at which the spurious counts occur only causally at the transmitter does not increase capacity.