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Nested lattice codes for arbitrary continuous sources and channels

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2 Author(s)
Sahebi, A.G. ; Dept. of Electr. Eng. & Comput. Sci., Univ. of Michigan, Ann Arbor, MI, USA ; Pradhan, S.S.

In this paper, we show that nested lattice codes achieve the capacity of arbitrary continuous channels with or without non-causal state information at the transmitter. We also show that nested lattice codes are optimal for source coding with or without non-causal side information at the receiver for arbitrary continuous sources. We show the optimality of lattice codes for the Gelfand-Pinsker and Wyner-Ziv problems in their most general settings.

Published in:

Information Theory Proceedings (ISIT), 2012 IEEE International Symposium on

Date of Conference:

1-6 July 2012