Title
On the capacity of the half-duplex diamond channel
Abstract
In this paper, a dual-hop communication system composed of a source S and a destination D connected through two non-interfering half-duplex relays, R1 and R2, is considered. In the literature of Information Theory, this configuration is known as the diamond channel. In this setup, four transmission modes are present, namely: 1) S transmits, and R1 and R2 listen (broadcast mode), 2) S transmits, R1 listens, and simultaneously, R2 transmits and D listens. 3) S transmits, R2 listens, and simultaneously, R1 transmits and D listens. 4) R1, R2 transmit, and D listens (multiple-access mode). Assuming a constant power constraint for all transmitters, a parameter Δ is defined, which captures some important features of the channel. It is proven that for Δ=0 the capacity of the channel can be attained by successive relaying, i.e, using modes 2 and 3 defined above in a successive manner. This strategy may have an infinite gap from the capacity of the channel when Δ≠0. To achieve rates as close as 0.71 bits to the capacity, it is shown that the cases of Δ >0 and Δ <; 0 should be treated differently. Using new upper bounds based on the dual problem of the linear program associated with the cut-set bounds, it is proven that the successive relaying strategy needs to be enhanced by an additional broadcast mode (mode 1), or multiple access mode (mode 4), for the cases of Δ <; 0 and Δ > 0, respectively. Furthermore, it is established that under average power constraints the aforementioned strategies achieve rates as close as 3.6 bits to the capacity of the channel.
Year
DOI
Venue
2009
10.1109/ISIT.2010.5513566
international symposium on information theory
Keywords
DocType
Volume
channel coding,frequency hop communication,wireless channels,average power constraints,broadcast mode,cut-set bounds,dual-hop communication system,half-duplex diamond channel capacity,information theory,linear program,multiple-access mode,noninterfering half-duplex relays,relay-aided wireless systems,successive relaying strategy,transmission modes,transmitters,upper bounds,communication system,dual problem,upper bound
Journal
abs/0911.1426
ISBN
Citations 
PageRank 
978-1-4244-7891-0
23
1.78
References 
Authors
12
3
Name
Order
Citations
PageRank
Hossein Bagheri1272.46
Abolfazl S. Motahari2765.60
Amir K. Khandani3113992.60