Capacity of Mismatched Gaussian Channels.
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
Pagination or Media Count:
The capacity of the Gaussian channel without feedback, subject to a generalized energy constraint, is determined in an earlier document, In that work, the constraint is given in terms of the covariance of the channel noise process. However, these are many situation where one may wish to determine capacity subject to a constraint determined by a covariance that is different form that of the channel noise. An example is in jamming or countermeasures situations. Channels where the covariance of the noise is the same as that of the constraint will be called matched channels otherwise, we say that the channel is mismatched to the constraint. In this paper, the capacity of the mismatched Gaussian channel is determined for two situations the finite-dimensional channel, and the infinite-dimensional channel with a dimensionality constraint on the space of transmitted signals. Results on the infinite-dimensional mismatched channel without a dimensionality constraint on the signal are given elsewhere. Various special cases of the mismatched channel have been treated previously. The results for the mismatched channel differ significantly from those for the matched channel. A discussion of these differences follows the proof of the main result.
- Statistics and Probability