Superposition coding is almost always optimal for the Poisson broadcast channel

H Kim, B Nachman, A El Gamal - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
IEEE Transactions on Information Theory, 2016ieeexplore.ieee.org
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 (eg, 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 …
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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