Asymptotics of the Random Coding Union Bound

Asymptotics of the Random Coding Union Bound
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随机编码并界的渐近

DOI:
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发表时间:
2018
期刊:
International Symposium on Information Theory and its Applications
影响因子:
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通讯作者:
A. G. Fàbregas
A. G. Fàbregas
中科院分区:
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文献类型:
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作者:
Josep Font;Alfonso Martinez;A. G. Fàbregas

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随机编码联合界的鞍点近似和扩展推导的i.i.d.随机编码集合利用格点分布和强非格点分布的逆拉普拉斯变换,我们的结果恢复了随机编码错误指数,并细化了错误概率的指前系数。显式表征的条款给出的二进制对称信道和二进制输入AWGN信道。
Saddlepoint approximations and expansions of the random coding union bound are derived for the i.i.d. random coding ensemble. Using the inverse Laplace transform of lattice and strongly non-lattice distributions, our results recover the random coding error exponent and refine the pre-exponential coefficient of the error probability. Explicit characterization of the terms are given for the binary symmetric channel and for the binary input AWGN channel.