Exponential error bounds for random codes on Gaussian arbitrarily varying channels

Exponential error bounds for random codes on Gaussian arbitrarily varying channels
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高斯任意变化通道上随机码的指数误差界限

DOI:
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发表时间:
1991
影响因子:
2.5
通讯作者:
B. Hughes
B. Hughes
中科院分区:
计算机科学2区
文献类型:
--
作者:
Tony G. Thomas;B. Hughes

文献摘要

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主要目标是在存在(强)容量的一种情况下(即,具有对发射机和干扰的峰值时间平均功率约束)。GAVC模型的信道损坏的热噪声和未知的干扰信号的有界功率。最佳错误概率的上限和下限,可实现在这个信道上的随机编码。这些界限的渐近指数同意在容量附近的速率范围内。该指数普遍大于具有相同容量的离散时间高斯信道的相应指数。它进一步表明,解码器可以采取的最小欧几里德距离规则在所有速率小于容量。>
The main objective is to develop exponential bounds to the best error probability achievable with random coding on the Gaussian arbitrarily varying channel (GAVC) in the one case where a (strong) capacity exists (i.e., with peak time-averaged power constraints on both the transmitter and interference). The GAVC models a channel corrupted by thermal noise and by an unknown interfering signal of bounded power. The upper and lower bounds to the best error probability achievable on this channel with random coding are presented. The asymptotic exponents of these bounds agree in a range of rates near capacity. The exponents are universally larger than the corresponding exponents for the discrete-time Gaussian channel with the same capacity. It is further shown that the decoder can be taken to be the minimum Euclidean distance rule at all rates less than capacity. >