We consider achieving the rates in the capacity region of a multi-level 3-receiver broadcast channel, in which the second receiver is degraded with respect to the first receiver, with degraded message sets. We propose a two-level chaining strategy based on polar codes that achieves the capacity region of the considered setting without time-sharing. We also look at a slight variation of this problem, where the first receiver only requires to decode its own private message and the other two receivers require to decode another private message common to them. We observe that the capacity region does not enlarge and so the proposed polar coding strategy achieves the capacity region for this problem as well.
翻译:我们考虑在能力区域实现多级3收件机广播频道的收发率,第二台收发机的收发率因第一台收发机而下降,电文机机已退化;我们提议基于极地代码的双层链锁战略,在没有时间共享的情况下实现深思熟虑环境的能力区域;我们还研究这一问题的微小差异,第一台收发机只需解码自己的私人信息,而另外两台收发机则需要解码它们共同的另一种私人信息;我们注意到,能力区域没有扩大,因此拟议的极地编码战略也实现了这一问题的能力区域。