Journal
IEEE TRANSACTIONS ON INFORMATION THEORY
Volume 62, Issue 4, Pages 1782-1794Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2016.2527790
Keywords
Broadcast channel; superposition coding; poisson channel; generalized binary skew channel
Funding
- Alma M. Collins Stanford Graduate Fellowship
- National Science Foundation Graduate Research Fellowship [DGE-4747]
- Stanford Graduate Fellowship
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This paper shows that the capacity region of the continuous-time Poisson broadcast channel is achieved via superposition coding for most channel parameter values. Interestingly, the channel in some subset of these parameter values does not belong to any of the existing classes of broadcast channels for which superposition coding is optimal (e.g., degraded, less noisy, and more capable). In particular, we introduce the notion of effectively less noisy broadcast channel and show that it implies less noisy but is not in general implied by more capable. For the rest of the channel parameter values, we show that there is a gap between Marton's inner bound and the UV outer bound.
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