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'Oliveira | 1 | 18 | 3.43 |
Marcelo Firer | 2 | 85 | 18.24 |