Analytic expressions for the bit error probabilities of rate-1/2 memory 2 convolutional encoders
Analytic expressions for the bit error probabilities of rate-1/2 memory 2 convolutional encoders
复制标题
1/2速率存储器2卷积编码器误码概率的解析表达式
DOI：
10.1109/tit.2004.828105
复制
发表时间：
2004
影响因子：
2.5
通讯作者：
K. Zigangirov
中科院分区：
文献类型：
--
作者：
M. Lentmaier;D. Truhachev;K. Zigangirov
本文导出了在二进制对称信道（BSC）上，采用最大似然（ML）译码器和传输的卷积编码器，码率R=1/2，存储器m=2时的精确误码率的解析表达式。由此产生的表达式是BSC的交叉概率的有理函数。除了经典的非系统的编码器没有反馈，我们也考虑递归系统的编码器，这成为特别重要的组件编码器级联编码方案。为了证明结果的有效性，他们进行了比较，计算机模拟。基于所提出的技术还推导出的Max-Log-MAP算法的输出对数似然比的误码率和概率分布的解析形式。
Analytic expressions for the exact bit error probabilities of rate R=1/2, memory m=2 convolutional encoders are derived for a maximum-likelihood (ML) decoder and transmission over the binary-symmetric channel (BSC). The resulting expressions are rational functions of the crossover probability of the BSC. In addition to classical nonsystematic encoders without feedback, we consider also recursive systematic encoders, which became especially important as component encoders in concatenated coding schemes. To attest the validity of the results, they are compared to computer simulations. Based on the presented technique also the bit error probability and the probability distribution of the output log-likelihood ratios of the Max-Log-MAP algorithm are derived in analytic form.