Title :
The Capacity Region of a Product of Two Unmatched Physically Degraded Gaussian Broadcast Channels With Three Individual Messages and a Common Message
Author :
Gohary, Ramy H. ; Davidson, Timothy N.
Author_Institution :
Commun. Res. Centre, Ottawa, ON, Canada
Abstract :
This paper considers a Gaussian broadcast channel with two unmatched degraded components, three individual messages, and a common message that is intended for all three receivers. It is shown that for this channel, superposition coding with Gaussian signalling is sufficient to achieve every point in the capacity region.
Keywords :
Gaussian channels; broadcast channels; channel capacity; channel coding; Gaussian broadcast channel; Gaussian signalling; capacity region; superposition coding; unmatched degraded component; Decoding; Degradation; Encoding; MIMO; Receivers; Transmitters; Vectors; Broadcast channels with physically degraded components; Karush–Kuhn–Tucker (KKT) conditions; entropy power inequality; geometric programming; relaxation; superposition coding (SPC);
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2219172
