The probability for a sequence of information symbols to have been sent, when the transmission channel's output is known, is simply related to a spin glass Hamiltonian. The ground state of this Hamiltonian provides the most probable input sequence, given the channel's output. Furthermore, the local magnetization at a certain value of the temperature is related to the most probable value of the corresponding information symbol, i.e. finite-temperature decoding provides the sequence of the most probable symbols, which, in general, is different from the most probable sequence.
%0 Journal Article
%1 0295-5075-25-3-001
%A Sourlas, N.
%D 1994
%J EPL (Europhysics Letters)
%K codes error-correcting-codes physics
%N 3
%P 159
%R 10.1209/0295-5075/25/3/001
%T Spin Glasses, Error-Correcting Codes and Finite-Temperature Decoding
%V 25
%X The probability for a sequence of information symbols to have been sent, when the transmission channel's output is known, is simply related to a spin glass Hamiltonian. The ground state of this Hamiltonian provides the most probable input sequence, given the channel's output. Furthermore, the local magnetization at a certain value of the temperature is related to the most probable value of the corresponding information symbol, i.e. finite-temperature decoding provides the sequence of the most probable symbols, which, in general, is different from the most probable sequence.
@article{0295-5075-25-3-001,
abstract = {The probability for a sequence of information symbols to have been sent, when the transmission channel's output is known, is simply related to a spin glass Hamiltonian. The ground state of this Hamiltonian provides the most probable input sequence, given the channel's output. Furthermore, the local magnetization at a certain value of the temperature is related to the most probable value of the corresponding information symbol, i.e. finite-temperature decoding provides the sequence of the most probable symbols, which, in general, is different from the most probable sequence.},
added-at = {2015-04-16T09:52:55.000+0200},
author = {Sourlas, N.},
biburl = {https://www.bibsonomy.org/bibtex/296bcad97e1001f1a1fcf809d87afcc89/ytyoun},
doi = {10.1209/0295-5075/25/3/001},
interhash = {f007f8b8fc80020c04f169d61d675da2},
intrahash = {96bcad97e1001f1a1fcf809d87afcc89},
journal = {EPL (Europhysics Letters)},
keywords = {codes error-correcting-codes physics},
number = 3,
pages = 159,
timestamp = {2015-04-16T09:52:55.000+0200},
title = {Spin Glasses, Error-Correcting Codes and Finite-Temperature Decoding},
volume = 25,
year = 1994
}