二进制标量检测中误差概率的凸性

Proceedings of 1994 IEEE International Symposium on Information Theory Pub Date : 1994-06-27 DOI:10.1109/ISIT.1994.395084

M. Azizoglu

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引用次数: 0

摘要

本文给出了检测被加性噪声破坏的二值标量信号时误差概率的凸性的结果。结果表明，当噪声具有单峰可微的概率密度函数时，最大似然接收机的误差概率是信噪比的凸函数。这一结果对发射机和干扰机的优化策略以及多信道的优化利用具有重要意义。

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Convexity of error probability in binary scalar detection

This paper obtains results on the convexity of error probability in the detection of binary-valued scalar signals corrupted by additive noise. It is shown that the error probability of the maximum likelihood receiver is a convex function of the signal-to-noise ratio (SNR) when the noise has a unimodal, differentiable probability density function. This result has some interesting implications on the optimum strategies of the transmitter and the jammer, as well as the optimal use of multiple channels.<>

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Proceedings of 1994 IEEE International Symposium on Information Theory

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