Capacity of the multiple-input, multiple-output Poisson channel

摘要

This paper examines the Shannon capacity of the single-user, multiple-input, multiple-output (MIMO) Poisson channel with peak and average transmit power constraints. The MIMO Poisson channel is a good model for the physical layer of a multi-aperture optical communication system that operates in the shot-noise-limited regime. We derive upper and lower bounds on the capacity that coincide in a number of special cases. The capacity is bounded below by that of the MIMO channel with an additional on-off keying (00K) transmitter constraint, and it is bounded above by that of parallel, independent multiple-input, single-output (MISO) channels.