Asymptotic Equipartition Property of Output when Rate is above Capacity

Details Asymptotic Equipartition Property of Output when Rate is above Capacity Asymptotic Equipartition Property of Output when Rate is above Capacity

2009-08-31

arxiv.org/abs/0908.4445v1

Computer Science

Information Theory

Scientific paper

The output distribution, when rate is above capacity, is investigated. It is shown that there is an asymptotic equipartition property (AEP) of the typical output sequences, independently of the specific codebook used, as long as the codebook is typical according to the standard random codebook generation. This equipartition of the typical output sequences is caused by the mixup of input sequences when there are too many of them, namely, when the rate is above capacity. This discovery sheds some light on the optimal design of the compress-and-forward relay schemes.

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