2014 IEEE International Symposium on Information Theory 2014
DOI: 10.1109/isit.2014.6875328
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On the achievable rates of pairwise multiway relay channels

Abstract: Abstract-In this paper, we study the effect of users' transmission ordering on the common rate and sum rate of pairwise multiway relay channels (MWRCs) with functional-decodeforward strategy. To this end, we first develop a graphical model for the data transmission in a pairwise MWRC. Using this model, we then find the optimal orderings that achieve the maximum common rate and sum rate of the system. The achieved maximum common/sum rate is also found. Moreover, we show that the performance gap between optimal … Show more

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Cited by 9 publications
(7 citation statements)
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“…Also, in the broadcast phase, in the (ℓ−1) th time slot, the relay broadcasts the decoded network coded message to all the users. For the multiple access phase, the optimum values of α and β j in (13) and (12), respectively, are obtained by setting dn dα = 0 and dn ′ dβ j = 0, where n and n ′ are given in (7) and (9), respectively. From this, we obtain α = P |h i,r | 2 +P |h ℓ,r | 2 P |h i,r | 2 +P |h ℓ,r | 2 +N 0 and β j = Pr|h j,r | 2 Pr|h j,r | 2 +N 0 .…”
Section: Discussionmentioning
confidence: 99%
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“…Also, in the broadcast phase, in the (ℓ−1) th time slot, the relay broadcasts the decoded network coded message to all the users. For the multiple access phase, the optimum values of α and β j in (13) and (12), respectively, are obtained by setting dn dα = 0 and dn ′ dβ j = 0, where n and n ′ are given in (7) and (9), respectively. From this, we obtain α = P |h i,r | 2 +P |h ℓ,r | 2 P |h i,r | 2 +P |h ℓ,r | 2 +N 0 and β j = Pr|h j,r | 2 Pr|h j,r | 2 +N 0 .…”
Section: Discussionmentioning
confidence: 99%
“…Multi-way relay networks (MWRNs), where a single relay facilitates all users in the network to exchange information with every other user, have important potential applications in teleconferencing, data exchange in a sensor network or file sharing in a social network X [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12]. A MWRN is a generalization of two-way relay networks (TWRNs), which enable bidirectional information exchange between two users and are widely recognized in the literature for their improved spectral efficiency, compared to conventional relaying [13], [14], [15], [16], [17], [18].…”
Section: Introductionmentioning
confidence: 99%
“…However, on the other hand, more simultaneous transmissions imply higher signal processing complexity in the associated receivers. Therefore, to reduce this complexity in the MAC phase, some authors have recently restricted the number of users transmitting simultaneously to two [3], [10]- [12]. These works seek to optimize the performance/throughput of the system through the choice of the optimal pairs of users to transmit simultaneously and the optimal orderings.…”
Section: A Prior Related Researchmentioning
confidence: 99%
“…The relay receives a superposition of two signals (assuming two subclusters), and the users not transmitting in the current TS receive only the signal from the user selected for transmission in its corresponding subcluster. The transmission strategies in [3], [10]- [12] do not take advantage of this side information as we do here in our pairwise strategy.…”
Section: B Motivation and Our Contributionmentioning
confidence: 99%
“…In [15], the results for optimal pairing has been presented without proofs. The current work also extends the sum rate results of [15] to cases that some users are listeners only and do not participate in data sharing. 2 Note that for any given MWRC with N users, we can always label the user with the worst SNR (poorest channel) as U1, the second worst user as U2, and so on.…”
Section: System Modelmentioning
confidence: 99%