A family of upper bounds to error probabilities of coded systems on the additive white Gaussian noise channel was recently proposed by Divsalar (see 1999 IEEE Communication Theory Workshop, Aptos, CA., 1999). Their calculation depends only on the weight spectrum of the code words. We first elaborate upon these bounds to show how they can be further tightened by using numerical integration instead of a Chernoff bound, and by reducing the number of code words to be included in the bound. Next, we extend them to fading channels.
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机译：Divsalar最近提出了加性白高斯噪声信道上编码系统的错误概率上限的上限（参见1999 IEEE Communication Theory Workshop，Aptos，CA，1999）。它们的计算仅取决于代码字的权重范围。我们首先详细说明这些边界，以显示如何通过使用数值积分而不是Chernoff边界并减少要包含在该边界中的代码字的数量来进一步加紧它们。接下来，我们将它们扩展到衰落信道。
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