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):

• Frey, Michael R.

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:

• *CHANNELS
• *NOISE
• *MATHEMATICAL MODELS
• CODERS
• INTENSITY
• CAPACITY(QUANTITY)
• CODING

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE