2006 40th Annual Conference on Information Sciences and Systems 2006
DOI: 10.1109/ciss.2006.286410
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On the Capacity of Gaussian Weak Interference Channels with Degraded Message sets

Abstract: This paper is motivated by a sensor network on a correlated field where nearby sensors share information, and can thus assist rather than interfere with one another. We consider a special class of two-user Gaussian interference channels (IFCs) where one of the two transmitters knows both the messages to be conveyed to the two receivers. Both achievability and converse arguments are provided for a channel with Gaussian inputs and Gaussian noise when the interference is weaker than the direct link (a so called w… Show more

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Cited by 42 publications
(75 citation statements)
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“…For example, the cognitive radio channel shown in Figure 3.9 lets the source nodes cooperate by having one of the nodes aware of the message of the other node. The capacity region of this channel is known in some cases [89,189]. The best cooperative schemes use both superposition coding and a sophisticated coding method known as dirty paper coding.…”
Section: Other Models and Methodsmentioning
confidence: 99%
“…For example, the cognitive radio channel shown in Figure 3.9 lets the source nodes cooperate by having one of the nodes aware of the message of the other node. The capacity region of this channel is known in some cases [89,189]. The best cooperative schemes use both superposition coding and a sophisticated coding method known as dirty paper coding.…”
Section: Other Models and Methodsmentioning
confidence: 99%
“…By careful encoding, the channel with interference noncausally known to the transmitter, but not the receiver, may be made equivalent to an interference-free channel, at no power penalty. When using an encoding strategy that properly exploits this asymmetric message knowledge at the transmitters, the region (d) of Figure 1 is achievable and in certain cases corresponds to the capacity region of this channel [17], [18]. The encoding strategy used assumes both transmitters use random Gaussian codebooks.…”
Section: Cognitive Transmission (Using Asymmetric Transmitter Side Inmentioning
confidence: 99%
“…Such a model generically characterizes some realistic communication scenarios taking place in cognitive radio channels [1], [2] or in wireless sensor networks over a correlated field [3], [4], which we illustrate in Figs. 1(a) and 1(b).…”
Section: Introductionmentioning
confidence: 99%
“…It has been also shown in [1,Corollary 2] that, an improved achievable rate region can be attained by time-sharing between the early derived rate region and a so called fully-cooperative rate point achieved by letting sender 2 use all its power to transmit sender 1' messages. A different coding scheme was adopted in [2] and [3], in which neither of the senders splits its message into two sub-messages, and receiver 2 does not decode any transmitted information from sender 1. Since sender 2 knows what sender 1 wishes to transmit, sender 2 is allowed to: 1) apply the Gel'fand-Pinsker coding to encode its own message; and 2) partially cooperate with sender 1 using superposition coding.…”
Section: Introductionmentioning
confidence: 99%