New Inner and Outer Bounds for Gaussian Broadcast Channels with Heterogeneous Blocklength Constraints
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by
Marcel Mross, Pin-Hsun Lin, Eduard A. Jorswieck
2022
Abstract
We investigate novel inner and outer bounds on the rate region of a 2-user
Gaussian broadcast channel with finite, heterogeneous blocklength constraints
(HB-GBC). In particular, we introduce a new, modified Sato-type outer bound
that can be applied in the finite blocklength regime and which does not require
the same marginal property. We then develop and analyze composite shell codes,
which are suitable for the HB-GBC. Especially, to achieve a lower decoding
latency for the user with a shorter blocklength constraint when successive
interference cancellation is used, we derive the number of symbols needed to
successfully early decode the other user's message. We numerically compare our
derived outer bound to the best known achievable rate regions. Numerical
results show that the new early decoding performance in terms of latency
reduction is significantly improved compared to the state of the art, and it
performs very close to the asymptotic limit.
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2202.02110v2
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