TY - GEN
T1 - Second-order coding region for the discrete lossy Gray-Wyner source coding problem
AU - Zhou, Lin
AU - Tan, Vincent Y.F.
AU - Motani, Mehul
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/8/10
Y1 - 2016/8/10
N2 - We derive the optimal second-order coding region for the lossy Gray-Wyner source coding problem for discrete memoryless sources under mild conditions. To do so, we leverage the properties of an appropriate generalization of the conditional distortion-tilted information density, which was first introduced by Kostina and Verdú (2012). The converse part uses the perturbation argument by Gu and Effros (2009) in their strong converse proof of the discrete Gray-Wyner problem. The achievability part uses a generalization of type covering lemmas and the uniform continuity of the conditional rate-distortion function in both the source joint distribution and the distortion level.
AB - We derive the optimal second-order coding region for the lossy Gray-Wyner source coding problem for discrete memoryless sources under mild conditions. To do so, we leverage the properties of an appropriate generalization of the conditional distortion-tilted information density, which was first introduced by Kostina and Verdú (2012). The converse part uses the perturbation argument by Gu and Effros (2009) in their strong converse proof of the discrete Gray-Wyner problem. The achievability part uses a generalization of type covering lemmas and the uniform continuity of the conditional rate-distortion function in both the source joint distribution and the distortion level.
UR - https://www.scopus.com/pages/publications/84985955397
U2 - 10.1109/ISIT.2016.7541731
DO - 10.1109/ISIT.2016.7541731
M3 - 会议稿件
AN - SCOPUS:84985955397
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2409
EP - 2413
BT - Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 IEEE International Symposium on Information Theory, ISIT 2016
Y2 - 10 July 2016 through 15 July 2016
ER -