arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1302.2702cs.ITmath.IT
收藏

具有定时同步误差的信道容量研究

On the Capacity of Channels with Timing Synchronization Errors

Aravind R. Iyengar, Paul H. Siegel, Jack K. Wolf

摘要:

我们考虑一类同步误差信道的新配方,并推导出这些信道的容量的解析界和数值估计。对于只有删除的二进制信道,我们得到一个表达式的对称信息率的子序列的权重,减少到一个严格的下限小删除概率。我们也能够准确地描述马尔可夫-1率的二进制信道只有复制。对于一个通道,引入删除以及复制的输入符号,我们设计近似的通道,参数化的状态空间,并表明这些近似的通道的信息速率接近删除复制通道的状态空间的增长。对于删除和复制以相同概率发生的信道的情况,示出了互信息速率的收敛的更强的结果。探索了这种新制剂的许多优点。

英文摘要:

We consider a new formulation of a class of synchronization error channels and derive analytical bounds and numerical estimates for the capacity of these channels. For the binary channel with only deletions, we obtain an expression for the symmetric information rate in terms of subsequence weights which reduces to a tight lower bound for small deletion probabilities. We are also able to exactly characterize the Markov-1 rate for the binary channel with only replications. For a channel that introduces deletions as well as replications of input symbols, we design approximating channels that parameterize the state space and show that the information rates of these approximate channels approach that of the deletion-replication channel as the state space grows. For the case of the channel where deletions and replications occur with the same probabilities, a stronger result in the convergence of mutual information rates is shown. The numerous advantages this new formulation presents are explored.

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。

↑