Shamai-Laroia猜想的反证

2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel Pub Date : 2012-12-11 DOI:10.1109/EEEI.2012.6377098

Y. Carmon, S. Shamai, T. Weissman

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引用次数: 5

摘要

我们证明了在码间干扰信道中，Shamai-Laroia猜想的最大可达速率下界不成立。结果表明，在低信噪比条件下，对于所有ISI信道和基本上所有输入分布，与猜想相反的情况是正确的。利用从这个证明中获得的见解，我们构造了一个明确的反例来反驳这个猜想。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Disproof of the Shamai-Laroia conjecture

We prove that the conjectured Shamai-Laroia lower bound for the maximum achievable rate in the intersymbol interference channel does not hold. It is shown that in the low SNR regime, the opposite to the conjecture is true, for all ISI channels and essentially all input distributions. Using insights obtained from this proof, we construct a clear counterexample to the conjecture.

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2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel

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