The Asymptotic Generalized Poor-Verdú Bound Achieves the BSC Error Exponent at Zero Rate

机译：渐近广义穷Verdú界以零速率实现BSC误差指数

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The generalized Poor-Verdú error lower bound for multihypothesis testing is revisited. Its asymptotic expression is established in closed-form as its tilting parameter grows to infinity. It is also shown that the asymptotic generalized bound achieves the error exponent (or reliability function) of the memoryless binary symmetric channel at zero coding rates.

机译：再次讨论了用于多假设检验的广义Poor-Verdú误差下限。当其倾斜参数增长到无穷大时，它的渐近表达式以封闭形式建立。还表明，渐近广义界以零编码率实现了无记忆二进制对称信道的误差指数（或可靠性函数）。

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《IEEE International Symposium on Information Theory》|2020年|2131-2136|共6页
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Ling-Hua Chang; Po-Ning Chen; Fady Alajaji; Yunghsiang S. Han;
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Binary symmetric channel; error probability bounds; error exponent; hypothesis testing; zero coding rates;

机译：二进制对称信道;错误概率边界;错误指数;假设检验;零编码率;

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专利

1. A Generalized Poor-Verdú Error Bound for Multihypothesis Testing [J] . Chen P.-N., Alajaji F. Information Theory, IEEE Transactions on . 2012,第1期

机译：用于多假设检验的广义Poor-Verdú误差界
2. On The Zero-rate Error Exponent For A Bsc With Noisy Feedback [J] . M, V, Burnashev, Problems of information transmission . 2008,第3期

机译：具有噪声反馈的Bsc的零速率误差指数
3. Upper bounds on the error probabilities and asymptotic error exponents in quantum multiple state discrimination [J] . Audenaert Koenraad M. R., Mosonyi Milan Journal of Mathematical Physics . 2014,第10期

机译：量子多态判别中的误差概率和渐近误差指数的上限
4. Restricted two-way channel: bounds for achievable rates region for given error probability exponents [C] . Haroutunian, E.A., Haroutunian, . 1995

机译：受限双向通道：给定错误概率指数的可达到速率区域的边界
5. A Pipelined ADC With Metastability Error Rate < 10(-15 exponent) Errors/Sample [D] . Guhados, Shankar 2011

机译：亚稳态误差率<10（-15指数）误差/样本的流水线ADC
6. Trade-offs between Error Exponents and Excess-Rate Exponents of Typical Slepian–Wolf Codes [O] . Ran Tamir (Averbuch), Neri Merhav 2021

机译：诸如典型斜坡 - 狼守则的误差指数与超速率指数之间的权衡
7. On zero-rate error exponent for BSC with noisy feedback [O] . Burnashev, Marat V., Yamamoto, Hirosuke 2008

机译：具有噪声反馈的BsC的零速率误差指数
8. Asymptotics and Error Rate Bounds for M-ary DPSK (Differential Phase-Shift Keying) [R] . Pawula, R. F. 1984

机译：m-ary DpsK（差分相移键控）的渐近和误差率界限

The Asymptotic Generalized Poor-Verdú Bound Achieves the BSC Error Exponent at Zero Rate

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