15 research outputs found
The Degrees of Freedom of the MIMO Y-channel
The degrees of freedom (DoF) of the MIMO Y-channel, a multi-way communication
network consisting of 3 users and a relay, are characterized for arbitrary
number of antennas. The converse is provided by cut-set bounds and novel
genie-aided bounds. The achievability is shown by a scheme that uses
beamforming to establish network coding on-the-fly at the relay in the uplink,
and zero-forcing pre-coding in the downlink. It is shown that the network has
min{2M_2+2M_3,M_1+M_2+M_3,2N} DoF, where M_j and N represent the number of
antennas at user j and the relay, respectively. Thus, in the extreme case where
M_1+M_2+M_3 dominates the DoF expression and is smaller than N, the network has
the same DoF as the MAC between the 3 users and the relay. In this case, a
decode and forward strategy is optimal. In the other extreme where 2N
dominates, the DoF of the network is twice that of the aforementioned MAC, and
hence network coding is necessary. As a byproduct of this work, it is shown
that channel output feedback from the relay to the users has no impact on the
DoF of this channel.Comment: 5 pages, 4 figures, ISIT 201
The Degrees-of-Freedom of Multi-way Device-to-Device Communications is Limited by 2
A 3-user device-to-device (D2D) communications scenario is studied where each
user wants to send and receive a message from each other user. This scenario
resembles a 3-way communication channel. The capacity of this channel is
unknown in general. In this paper, a sum-capacity upper bound that
characterizes the degrees-of-freedom of the channel is derived by using
genie-aided arguments. It is further shown that the derived upper bound is
achievable within a gap of 2 bits, thus leading to an approximate sum-capacity
characterization for the 3-way channel. As a by-product, interesting analogies
between multi-way communications and multi-way relay communications are
concluded.Comment: 5 pages, ISIT 201
A New DoF Upper Bound and Its Achievability for -User MIMO Y Channels
This work is to study the degrees of freedom (DoF) for the -user MIMO Y
channel. Previously, two transmission frameworks have been proposed for the DoF
analysis when , where and denote the number of antennas at
each source node and the relay node respectively. The first method is named as
signal group based alignment proposed by Hua et al. in [1]. The second is named
as signal pattern approach introduced by Wang et al. in [2]. But both of them
only studied certain antenna configurations. The maximum achievable DoF in the
general case still remains unknown. In this work, we first derive a new upper
bound of the DoF using the genie-aided approach. Then, we propose a more
general transmission framework, generalized signal alignment (GSA), and show
that the previous two methods are both special cases of GSA. With GSA, we prove
that the new DoF upper bound is achievable when . The DoF
analysis in this paper provides a major step forward towards the fundamental
capacity limit of the -user MIMO Y channel. It also offers a new approach of
integrating interference alignment with physical layer network coding.Comment: 6 pages, 3 figures, submitted to IEEE ICC 2015. arXiv admin note:
text overlap with arXiv:1405.071
Secure Beamforming for MIMO Two-Way Communications with an Untrusted Relay
This paper studies the secure beamforming design in a multiple-antenna
three-node system where two source nodes exchange messages with the help of an
untrusted relay node. The relay acts as both an essential signal forwarder and
a potential eavesdropper. Both two-phase and three-phase two-way relay
strategies are considered. Our goal is to jointly optimize the source and relay
beamformers for maximizing the secrecy sum rate of the two-way communications.
We first derive the optimal relay beamformer structures. Then, iterative
algorithms are proposed to find source and relay beamformers jointly based on
alternating optimization. Furthermore, we conduct asymptotic analysis on the
maximum secrecy sum-rate. Our analysis shows that when all transmit powers
approach infinity, the two-phase two-way relay scheme achieves the maximum
secrecy sum rate if the source beamformers are designed such that the received
signals at the relay align in the same direction. This reveals an important
advantage of signal alignment technique in against eavesdropping. It is also
shown that if the source powers approach zero the three-phase scheme performs
the best while the two-phase scheme is even worse than direct transmission.
Simulation results have verified the efficiency of the secure beamforming
algorithms as well as the analytical findings.Comment: 10 figures, Submitted to IEEE Transactions on Signal Processin