On the error probability for a class of binary recursive feedback strategies
On the error probability for a class of binary recursive feedback strategies
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关于一类二元递归反馈策略的错误概率
DOI：
10.1109/tit.1973.1055047
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发表时间：
1973
期刊：
影响因子：
--
通讯作者：
K. A. Post
中科院分区：
文献类型：
--
作者：
J. Schalkwijk;K. A. Post
对一类二元递归反馈策略的错误概率进行了估计。一个精确的分析给出了一个非顺序和顺序的决策策略。我们得到的有趣的结果，即使是非顺序接收机的错误概率指数快速消失的信道容量。Horstein之前也曾对顺序接收者得到过类似的结果，但被认为是他的决策策略的顺序性质的结果。对于低于容量的速率，我们的反馈策略有两个误差指数，即，下误差指数E^-（R）和上误差指数E^+（R）。较低的误差指数E^-（R）表现出一种反常的行为，即当速率R从0增加到容量时，E^-（R）从E^-（0）= 0单调增加到E^-（C）= E（C）。
The error probability for a class of binary recursive feedback strategies is evaluated. An exact analysis is given for both a nonsequential and a sequential decision strategy. We obtain the interesting result that even for the nonsequential receiver the error probability vanishes exponentially fast at channel capacity. A similar result had been previously obtained by Horstein for the sequential receiver, but was believed to be a consequence of the sequential nature of his decision strategy. For rates below capacity our feedback strategies have two error exponents, i.e., a lower error exponent E^- (R) and an upper error exponent E^+ (R) . The lower error exponent E^- (R) exhibits an anomalous behavior in that E^- (R) increases monotonically from E^- (0) = 0 to E^- (C) = E(C) as the rate R increases from 0 to capacity.