TY - GEN
T1 - Dispersion theorems via second order analysis of functions of distributions
AU - Ingber, Amir
AU - Da, Wang
AU - Kochman, Yuval
PY - 2012
Y1 - 2012
N2 - We revisit old and recent dispersion theorems for lossless and lossy source coding, channel coding and joint source-channel coding, showing that they can be proven in a general unified framework. In all of these cases, an error (or excess distortion) event occurs, to the level of interest in the asymptotic analysis, if some function of the empirical distribution crosses a threshold. Thus, second order analysis for general functions of distributions is studied, and a technical result which allows to prove the various dispersion theorems is derived.
AB - We revisit old and recent dispersion theorems for lossless and lossy source coding, channel coding and joint source-channel coding, showing that they can be proven in a general unified framework. In all of these cases, an error (or excess distortion) event occurs, to the level of interest in the asymptotic analysis, if some function of the empirical distribution crosses a threshold. Thus, second order analysis for general functions of distributions is studied, and a technical result which allows to prove the various dispersion theorems is derived.
UR - http://www.scopus.com/inward/record.url?scp=84868597552&partnerID=8YFLogxK
U2 - https://doi.org/10.1109/CISS.2012.6310944
DO - https://doi.org/10.1109/CISS.2012.6310944
M3 - Conference contribution
SN - 9781467331401
T3 - 2012 46th Annual Conference on Information Sciences and Systems, CISS 2012
SP - 1
EP - 6
BT - 2012 46th Annual Conference on Information Sciences and Systems, CISS 2012
PB - IEEE Computer Society
T2 - 2012 46th Annual Conference on Information Sciences and Systems, CISS 2012
Y2 - 21 March 2012 through 23 March 2012
ER -