TY - GEN
T1 - Second-order coding region for the discrete successive refinement 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 discrete successive refinement source coding problem under the joint excess-distortion event. To do so, we define a generalization of the tilted information density and leverage its properties. In the achievability part, we make use of type covering lemmas by Kanlis and Narayan (1996) and by No, Ingber and Weissman (2015). In the converse proof, we make use of the perturbation approach by Gu and Effros (2009). We also specialize our results to successively refinable sources and provide an alternative converse proof for such sources by generalizing Kostina and Verdú's (2012) one-shot converse bound for point-to-point lossy source coding.
AB - We derive the optimal second-order coding region for the discrete successive refinement source coding problem under the joint excess-distortion event. To do so, we define a generalization of the tilted information density and leverage its properties. In the achievability part, we make use of type covering lemmas by Kanlis and Narayan (1996) and by No, Ingber and Weissman (2015). In the converse proof, we make use of the perturbation approach by Gu and Effros (2009). We also specialize our results to successively refinable sources and provide an alternative converse proof for such sources by generalizing Kostina and Verdú's (2012) one-shot converse bound for point-to-point lossy source coding.
UR - https://www.scopus.com/pages/publications/84985904994
U2 - 10.1109/ISIT.2016.7541732
DO - 10.1109/ISIT.2016.7541732
M3 - 会议稿件
AN - SCOPUS:84985904994
T3 - IEEE International Symposium on Information Theory - Proceedings
SP - 2414
EP - 2418
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 -