Capacity of the Memoryless Additive Inverse Gaussian Noise Channel

Capacity of the Memoryless Additive Inverse Gaussian Noise Channel
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无记忆加性逆高斯噪声通道的容量

DOI:
10.1109/jsac.2014.2367673
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发表时间:
2014-11
影响因子:
16.4
通讯作者:
Guo Dongning
Guo Dongning
中科院分区:
计算机科学1区
文献类型:
--
作者:
Li Hui;Moser Stefan M.;Guo Dongning

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在平均时延和峰值时延同时约束的情况下,研究了描述漂移液体介质中化学分子交换的无记忆加性逆高斯噪声信道模型。给出了其容量的分析上界和下界(以每分子使用比特为单位)。这些边界被证明是渐近紧密的,即,对于趋近于无穷大的延迟约束,其比率保持恒定(或流体的漂移速度趋近于无穷大),可以精确地推导出渐近容量。此外,导出了实现容量的输入分布特征,从而可以精确地进行容量的数值计算。最优输入表现为连续和离散混合分布。
The memoryless additive inverse Gaussian noise channel model describing communication based on the exchange of chemical molecules in a drifting liquid medium is investigated for the situation of simultaneously an average-delay and a peak-delay constraint. Analytical upper and lower bounds on its capacity in bits per molecule use are presented. These bounds are shown to be asymptotically tight, i.e., for the delay constraints tending to infinity with their ratio held constant (or for the drift velocity of the fluid tending to infinity), the asymptotic capacity is derived precisely. Moreover, characteristics of the capacity-achieving input distribution are derived that allow accurate numerical computation of capacity. The optimal input appears to be a mixed continuous and discrete distribution.
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