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Achievable Degrees of Freedom on K-user Y Channels

Authors
Lee, KwangwonLee, NamyoonLee, Inkyu
Issue Date
Mar-2012
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Keywords
Degrees of freedom; Y channels; interference alignment; network coding
Citation
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS, v.11, no.3, pp.1210 - 1219
Indexed
SCIE
SCOPUS
Journal Title
IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS
Volume
11
Number
3
Start Page
1210
End Page
1219
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/105390
DOI
10.1109/TWC.2012.012712.111194
ISSN
1536-1276
Abstract
In this paper, we consider K-user Y channels where K users simultaneously exchange messages with each other via an intermediate relay. Degrees of freedom (DOF) of Y channels with multiple antennas is not known in general. Investigation of the feasibility conditions of signal space alignment for network coding is an initial step for addressing this open problem. We verify that when user i with M-i antennas sends K-1 independent messages to the other users through a relay with N antennas and each message achieves the DOF of d, the total DOF of dK(K-1) is attained if M-i >= d(K - 1), N >= dK(K-1)/2 and N < min {M-i + M-j - d vertical bar for all i not equal j}. It is accomplished by adopting the signal space alignment for the network coding during both the multiple access phase and the broadcast phase. It is shown that the proposed scheme obtains not only a network coding gain but also an alignment gain in terms of the normalized DOF, as K ->infinity. Also for Y channels where all nodes have a single antenna, we show that the DOF of 2 is achieved regardless of the number of users by using the rational dimension framework.
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