摘要翻译:
在给定的传输信道中使用纠错码可以看作是统计实验。因此,实验比较理论的有力结果可以用来比较不同纠错码的性能。我们用纠错码的表示作为线性实验,给出了分组纠错码的比较结果。在这种情况下,代码比较基于各个代码矩阵的Loewner矩阵排序。其次,我们基于两个码的二分表示来演示误码率码性能的比较,在这种情况下,比较是基于各自等价码矩阵的矩阵优化排序。
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英文标题:
《A Note on Comparison of Error Correction Codes》
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作者:
Dejan V. Djonin
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最新提交年份:
2007
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分类信息:
一级分类:Computer Science 计算机科学
二级分类:Information Theory 信息论
分类描述:Covers theoretical and experimental aspects of information theory and coding. Includes material in ACM Subject Class E.4 and intersects with H.1.1.
涵盖信息论和编码的理论和实验方面。包括ACM学科类E.4中的材料,并与H.1.1有交集。
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一级分类:Mathematics 数学
二级分类:Information Theory 信息论
分类描述:math.IT is an alias for cs.IT. Covers theoretical and experimental aspects of information theory and coding.
它是cs.it的别名。涵盖信息论和编码的理论和实验方面。
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一级分类:Mathematics 数学
二级分类:Statistics Theory 统计理论
分类描述:Applied, computational and theoretical statistics: e.g. statistical inference, regression, time series, multivariate analysis, data analysis, Markov chain Monte Carlo, design of experiments, case studies
应用统计、计算统计和理论统计:例如统计推断、回归、时间序列、多元分析、数据分析、马尔可夫链蒙特卡罗、实验设计、案例研究
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一级分类:Statistics 统计学
二级分类:Statistics Theory 统计理论
分类描述:stat.TH is an alias for math.ST. Asymptotics, Bayesian Inference, Decision Theory, Estimation, Foundations, Inference, Testing.
Stat.Th是Math.St的别名。渐近,贝叶斯推论,决策理论,估计,基础,推论,检验。
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英文摘要:
Use of an error correction code in a given transmission channel can be regarded as the statistical experiment. Therefore, powerful results from the theory of comparison of experiments can be applied to compare the performances of different error correction codes. We present results on the comparison of block error correction codes using the representation of error correction code as a linear experiment. In this case the code comparison is based on the Loewner matrix ordering of respective code matrices. Next, we demonstrate the bit-error rate code performance comparison based on the representation of the codes as dichotomies, in which case the comparison is based on the matrix majorization ordering of their respective equivalent code matrices.
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PDF链接:
https://arxiv.org/pdf/710.3817