The Channel Capacity Increases with Power
Information Theory
2015-03-20 v3 math.IT
Abstract
It is proved that for memoryless vector channels, maximizing the mutual information over all source distributions with a certain average power or over the larger set of source distributions with upperbounded average power yields the same channel capacity in both cases. Hence, the channel capacity cannot decrease with increasing average transmitted power, not even for channels with severe nonlinear distortion.
Keywords
Cite
@article{arxiv.1108.0391,
title = {The Channel Capacity Increases with Power},
author = {Erik Agrell},
journal= {arXiv preprint arXiv:1108.0391},
year = {2015}
}
Comments
This is the third and last version of "The channel capacity increases with power." Future improvements, including results for multiuser channels, will be presented under the title "On monotonic capacity-cost functions," http://arxiv.org/abs/1209.2820