DocumentCode
43840
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
Volume
59
Issue
1
fYear
2013
fDate
Jan. 2013
Firstpage
76
Lastpage
103
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);
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2012.2219172
Filename
6304925
Link To Document