论文标题
高斯广播频道的新内在和外部边界，具有异质的区块约束
New Inner and Outer Bounds for Gaussian Broadcast Channels with Heterogeneous Blocklength Constraints
论文作者
论文摘要
我们研究了具有有限的，异质的区块长约束（HB-GBC）的2用户高斯广播通道的速率区域的新型内边界和外部边界。特别是，我们引入了一种新的，修改的SATO型外界，可以应用于有限的区块长度，并且不需要相同的边缘属性。然后，我们开发和分析适用于HB-GBC的复合壳代码。特别是，为了在使用连续的干扰取消时，用较短的块长度约束来获得较低的解码延迟，我们得出成功早期解码另一个用户的消息所需的符号数量。我们从数值上比较了我们的派生外部结合与最著名的可实现速率区域。数值结果表明，与最新的状态相比，新的早期解码性能在延迟降低方面得到了显着提高，并且其性能非常接近渐近极限。
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.
