Title
A Distance Between Channels: the average error of mismatched channels.
Abstract
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.
Year
DOI
Venue
2019
10.1007/s10623-018-0557-3
Designs, Codes and Cryptography
Keywords
DocType
Volume
Mismatched channels, Maximum likelihood decoding, Space of channels, 68P30, 51E22, 52C35
Journal
abs/1802.02049
Issue
ISSN
Citations 
2-3
0925-1022
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Rafael Gregorio Lucas D'Oliveira1183.43
Marcelo Firer28518.24