New results are presented on the problem of source coding subject to a fidelity criterion for stationary, measurable, continuous-time stochastic processes. The main result is established without an ergodicity requirement and for quite general reproduction alphabets. This is then specialized to ergodic sources to prove a coding theorem for ergodic continuous-time sources. The approach is to obtain coding theorems for continuous-time sources from the coding theorem for nonergodic discrete-time sources.
Publié le : 1977-12-14
Classification:
Source coding subject to a fidelity criterion,
information theory,
continuous-time sources,
94A15,
60G10,
60G35,
94A05
@article{1176995664,
author = {Pursley, Michael B. and Gray, Robert M.},
title = {Source Coding Theorems for Stationary, Continuous-time Stochastic Processes},
journal = {Ann. Probab.},
volume = {5},
number = {6},
year = {1977},
pages = { 966-986},
language = {en},
url = {http://dml.mathdoc.fr/item/1176995664}
}
Pursley, Michael B.; Gray, Robert M. Source Coding Theorems for Stationary, Continuous-time Stochastic Processes. Ann. Probab., Tome 5 (1977) no. 6, pp. 966-986. http://gdmltest.u-ga.fr/item/1176995664/