arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 1202.0417cs.ITmath.IT
收藏

通用通信部件II:带存储器的通道

Universal communication part II: channels with memory

Yuval Lomnitz, Meir Feder

摘要:

考虑在其概率模型完全未知的矢量方式的信道上的通信,并且不假设其是静止的。通过这种渠道进行沟通是一项挑战,因为了解过去并不意味着对未来的任何了解。假设存在可靠反馈和共同随机性。在以前的文件中,它表明,香农容量不能达到,在一般情况下,如果信道是未知的。另一种“容量”概念被定义为在连续块上使用的任何块编码系统的最大可靠通信速率。该速率被证明对于具有单独的未知噪声序列的模加性信道是可实现的,并且对于具有记忆的某些信道是不可实现的。在本文中,这种“能力”是可以实现的一般信道模型可能包括内存,只要这个内存随着时间的推移而褪色。换句话说,存在具有反馈和公共随机性的系统,该系统在不知道信道的情况下,渐进地执行得与任何块码一样好,该块码可以被设计为知道信道。对于非衰落的记忆通道的较弱类型的“能力”示出是可以实现的。

英文摘要:

Consider communication over a channel whose probabilistic model is completely unknown vector-wise and is not assumed to be stationary. Communication over such channels is challenging because knowing the past does not indicate anything about the future. The existence of reliable feedback and common randomness is assumed. In a previous paper it was shown that the Shannon capacity cannot be attained, in general, if the channel is not known. An alternative notion of "capacity" was defined, as the maximum rate of reliable communication by any block-coding system used over consecutive blocks. This rate was shown to be achievable for the modulo-additive channel with an individual, unknown noise sequence, and not achievable for some channels with memory. In this paper this "capacity" is shown to be achievable for general channel models possibly including memory, as long as this memory fades with time. In other words, there exists a system with feedback and common randomness that, without knowledge of the channel, asymptotically performs as well as any block code, which may be designed knowing the channel. For non-fading memory channels a weaker type of "capacity" is shown to be achievable.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑