Accession Number:
ADA235546
Title:
Capacities of the Mean-Square-Constrained Poisson Channel.
Descriptive Note:
Technical rept.,
Corporate Author:
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
Personal Author(s):
Report Date:
1990-07-04
Pagination or Media Count:
14.0
Abstract:
An earlier discussion of the capacity of the mean-square-constrained Poisson channel is continued. Using a theorem of Hoefding, it is shown that the channel information capacity is the same with or without an on-off keying OOK constraint on the channel encoder intensity, affirmatively resolving the conjecture made in our earlier discussion. Thus the known formula for the information capacity of the OOK-constrained channel applies as well in the absence of an OOk constraint. Adapting arguments used by Wyner to address the peak-constrained Poisson channel, it is also shown that the coding capacity with no OOK constraint is equal to the corresponding information capacity. This establishes that all four capacities - coding and information, with and without OOK-constrained encoder - are equal.
Descriptors:
Subject Categories:
- Statistics and Probability