On the Error Exponents of Some Improved Tangential-Sphere Bounds
On the Error Exponents of Some Improved Tangential-Sphere Bounds
复制标题
关于一些改进的切向球界的误差指数
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
I. Sason
中科院分区：
文献类型：
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作者：
M. Twitto;I. Sason
通过切球界（TSB）及其两个最新改进版本，讨论了AWGN信道下最大似然（ML）解码二进制线性分组码的性能。本文着重于这些界限的误差指数的推导。虽然它是举例说明，最近的一些改进的TSB收紧有限长码的这个界限，它表明在本文中，他们的错误指数一致。对于一个任意的二进制线性分组码的合奏，这些错误指数的共同价值明确表示的平均距离谱的渐近增长率。
The performance of maximum-likelihood (ML) decoded binary linear block codes over the AWGN channel is addressed via the tangential-sphere bound (TSB) and two of its recent improved versions. The paper is focused on the derivation of the error exponents of these bounds. Although it was exemplified that some recent improvements of the TSB tighten this bound for finite-length codes, it is demonstrated in this paper that their error exponents coincide. For an arbitrary ensemble of binary linear block codes, the common value of these error exponents is explicitly expressed in terms of the asymptotic growth rate of the average distance spectrum.