Title
The stochastic-calculus approach to multi-receiver poisson channels.
Abstract
We study two-receiver Poisson channels using tools derived from stochastic calculus. We obtain a general formula for the mutual information over the Poisson channel that allows for conditioning and the use of auxiliary random variables. We then use this formula to compute necessary and sufficient conditions under which one Poisson channel is less noisy and/or more capable than another, which turn out to be distinct from the conditions under which this ordering holds for the discretized versions of the channels. We also use a general formula to determine the capacity region of the more capable Poisson broadcast channel with independent message sets, the more capable Poisson wiretap channel, and the general two-decoder Poisson broadcast channel with degraded message sets.
Year
DOI
Venue
2017
10.1109/ISIT.2016.7541321
international symposium on information theory
Keywords
DocType
Volume
Tools,Mutual information,Receivers,Markov processes,Calculus,Random variables
Journal
abs/1708.04258
Issue
ISSN
ISBN
8
IEEE Transactions on Information Theory, vol. 65, no. 8, pp. 5007-5027, Aug. 2019
978-1-5090-1807-9
Citations 
PageRank 
References 
0
0.34
7
Authors
2
Name
Order
Citations
PageRank
Nirmal Shende1132.66
Aaron B. Wagner232237.39