论文标题
具有有限渠道输入的有限块长度状态中的信息能量区域
Information-Energy Regions in the Finite Block-Length Regime with Finite Channel Inputs
论文作者
论文摘要
本文表征了有限的块长度策略中的添加性白色高斯噪声通道之间的信息和能量传输之间的权衡，并具有有限的通道输入符号。这些权衡是使用有限的块长度代码的信息传输速率，能量传输速率，解码误差概率（DEP）和能量中断概率（EOP）的不可能和可实现性界定的特征。给定一组通道输入符号，不可能的结果可以确定使用给定的频道输入集可通过任何代码来实现的信息速率，能率，DEP和EOP的元素。还提出了一种构建满足目标信息速率，能量速率，DEP和EOP的代码家族的新方法。可实现的界限确定了可以通过构建的代码家族同时实现的信息速率，能量，DEP和EOP的一组。拟议的构造与信息率，能量速率和EOP的不可能界限匹配。但是，对于给定的信息速率，能源率和EOP，由于选择了代码构建过程中进行的解码集，因此所达到的DEP高于无法约束的不可能。
This paper characterizes the trade-offs between information and energy transmission over an additive white Gaussian noise channel in the finite block-length regime with finite sets of channel input symbols. These trade-offs are characterized using impossibility and achievability bounds on the information transmission rate, energy transmission rate, decoding error probability (DEP) and energy outage probability (EOP) for a finite block-length code. Given a set of channel input symbols, the impossibility results identify the tuples of information rate, energy rate, DEP and EOP that cannot be achieved by any code using the given set of channel inputs. A novel method for constructing a family of codes that satisfy a target information rate, energy rate, DEP and EOP is also proposed. The achievability bounds identify the set of tuples of information rate, energy rate, DEP and EOP that can be simultaneously achieved by the constructed family of codes. The proposed construction matches the impossibility bounds for the information rate, energy rate, and the EOP. However, for a given information rate, energy rate and EOP, the achieved DEP is higher than the impossibility bound due to the choice of the decoding sets made during the code construction.
