Outage Capacity of MIMO Poisson Fading Channels

• Published in: IEEE transactions on information theory Vol. 54; no. 11; pp. 4887 - 4907
• Main Authors: Chakraborty, K., Dey, S., Franceschetti, M.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.11.2008; Institute of Electrical and Electronics Engineers; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Aperture; Apertures; Applied sciences; Blocking; Channel state information; Channels; Communication channels; Data transmission; Diffraction, scattering, reflection; Exact sciences and technology; Fading; free space optical communication; Information; information outage probability; Information theory; Information, signal and communications theory; Intensity modulation; Intervals; Matrix; MIMO; multiple-input-multiple-output (MIMO); Optical detectors; Optical modulation; Optical receivers; Optical transmitters; Optimization; Outages; Photodetectors; Photons; Poisson fading channel; Radiocommunications; Radiowave propagation; Signal to noise ratio; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Transmitters; Transmitters. Receivers; Fading channels; Fading; MIMO system; Parameter estimation; Poisson fading channel; Outage; Optical telecommunication; Wireless telecommunication; Transmitter; free space optical communication; Photodetector; Optimization; information outage probability; Optical signal; Direct detection; Free space propagation; Electromagnetic wave propagation; Channel estimation; Coherence; Electromagnetic wave attenuation; Shot noise; Free space optics; multiple-input-multiple-output (MIMO); Channel state information
• ISSN: 0018-9448; 1557-9654
• DOI: 10.1109/TIT.2008.929915

The information outage probability of a shot-noise limited direct detection multiple-input-multiple-output (MIMO) optical channel subject to block fading is considered. Information is transmitted over this channel by modulating the intensity of a number of optical signals, one corresponding to each transmit aperture, and individual photon arrivals are observed at multiple receive photodetector apertures. The transmitted signals undergo multiplicative fading. The fading occurs in coherence intervals of fixed duration in each of which the channel fade matrix remains constant, and changes across successive such intervals in an independent and identically distributed fashion. The transmitter and the receiver are assumed to be provided with perfect channel state information (CSI). An optimization formulation for the outage probability problem is outlined and an exact characterization of the optimal average conditional duty cycles is provided.