A distance between channels: the average error of mismatched channels

被引：0

作者：

D'Oliveira, Rafael G. L. ^{[1
]}

Firer, Marcelo ^{[2
]}

机构：

[1] Rutgers State Univ, New Brunswick, NJ USA

[2] Univ Estadual Campinas, Campinas, SP, Brazil

来源：

DESIGNS CODES AND CRYPTOGRAPHY | 2019年 / 87卷 / 2-3期

关键词：

Mismatched channels; Maximum likelihood decoding; Space of channels; METRICS;

D O I：

10.1007/s10623-018-0557-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Two channels are equivalent if their maximum likelihood (ML) decoders coincide for every code. We show that this equivalence relation partitions the space of channels into a generalized hyperplane arrangement. With this, we define a coding distance between channels in terms of their ML-decoders which is meaningful from the decoding point of view, in the sense that the closer two channels are, the larger is the probability of them sharing the same ML-decoder. We give explicit formulas for these probabilities.

引用

页码：481 / 493

页数：13

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