AWGN红色警报问题
The AWGN Red Alert Problem
摘要：
考虑以下不等错误保护场景。一个特殊的消息，被称为“红色警报”消息，需要有一个非常小的概率错过检测。其余的消息必须保持它们的平均错误概率和虚警概率低于某个阈值。然后，目标是设计一个码本，使红色警报消息的错误指数最大化，同时确保错误的平均概率和虚警概率随着块长度趋于无穷大而趋于零。此红色警报指数先前已针对离散无记忆通道进行了表征。本文完整地刻画了加性高斯白噪声信道中块功率约束下的最优红色告警指数。
英文摘要：
Consider the following unequal error protection scenario. One special message, dubbed the "red alert" message, is required to have an extremely small probability of missed detection. The remainder of the messages must keep their average probability of error and probability of false alarm below a certain threshold. The goal then is to design a codebook that maximizes the error exponent of the red alert message while ensuring that the average probability of error and probability of false alarm go to zero as the blocklength goes to infinity. This red alert exponent has previously been characterized for discrete memoryless channels. This paper completely characterizes the optimal red alert exponent for additive white Gaussian noise channels with block power constraints.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
