243 research outputs found
Performance Analysis of Optimal Single Stream Beamforming in MIMO Dual-Hop AF Systems
This paper investigates the performance of optimal single stream beamforming
schemes in multiple-input multiple-output (MIMO) dual-hop amplify-and-forward
(AF) systems. Assuming channel state information is not available at the source
and relay, the optimal transmit and receive beamforming vectors are computed at
the destination, and the transmit beamforming vector is sent to the transmitter
via a dedicated feedback link. Then, a set of new closed-form expressions for
the statistical properties of the maximum eigenvalue of the resultant channel
is derived, i.e., the cumulative density function (cdf), probability density
function (pdf) and general moments, as well as the first order asymptotic
expansion and asymptotic large dimension approximations. These analytical
expressions are then applied to study three important performance metrics of
the system, i.e., outage probability, average symbol error rate and ergodic
capacity. In addition, more detailed treatments are provided for some important
special cases, e.g., when the number of antennas at one of the nodes is one or
large, simple and insightful expressions for the key parameters such as
diversity order and array gain of the system are derived. With the analytical
results, the joint impact of source, relay and destination antenna numbers on
the system performance is addressed, and the performance of optimal beamforming
schemes and orthogonal space-time block-coding (OSTBC) schemes are compared.
Results reveal that the number of antennas at the relay has a great impact on
how the numbers of antennas at the source and destination contribute to the
system performance, and optimal beamforming not only achieves the same maximum
diversity order as OSTBC, but also provides significant power gains over OSTBC.Comment: to appear in IEEE Journal on Selected Areas in Communications special
issue on Theories and Methods for Advanced Wireless Relay
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
Throughput Analysis and Optimization of Wireless-Powered Multiple Antenna Full-Duplex Relay Systems
We consider a full-duplex (FD) decode-and-forward system in which the
time-switching protocol is employed by the multi-antenna relay to receive
energy from the source and transmit information to the destination. The
instantaneous throughput is maximized by optimizing receive and transmit
beamformers at the relay and the time-split parameter. We study both optimum
and suboptimum schemes. The reformulated problem in the optimum scheme achieves
closed-form solutions in terms of transmit beamformer for some scenarios. In
other scenarios, the optimization problem is formulated as a semi-definite
relaxation problem and a rank-one optimum solution is always guaranteed. In the
suboptimum schemes, the beamformers are obtained using maximum ratio combining,
zero-forcing, and maximum ratio transmission. When beamformers have closed-form
solutions, the achievable instantaneous and delay-constrained throughput are
analytically characterized. Our results reveal that, beamforming increases both
the energy harvesting and loop interference suppression capabilities at the FD
relay. Moreover, simulation results demonstrate that the choice of the linear
processing scheme as well as the time-split plays a critical role in
determining the FD gains.Comment: Accepted for publication in IEEE Transactions on Communication
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