Capacities of the Mean-Square-Constrained Poisson Channel.
NORTH CAROLINA UNIV AT CHAPEL HILL DEPT OF STATISTICS
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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.
- Statistics and Probability