Joint Relay/Antenna Selection and Precoding Design for Two-Way MIMO Amplify-and-Forward Relaying Systems

Separable MSE-Based Design of Two-Way Multiple-Relay Cooperative MIMO 5G Networks

“…On the other side of the coin, with respect to the one-way relaying setting, the optimization of two-way cooperative networks is complicated by fact that terminal precoders/decoders and relay forwarding matrices are coupled among themselves. Design and performance analysis of two-way cooperative MIMO networks encompassing multiple amplify-and-forward (AF) or non-regenerative relays has been considered in References [15][16][17][18][19]. Compared with the single-relay case [20], the multiple-relay scenario generally leads to more challenging nonconvex constrained optimization problems, which are usually solved by burdensome iterative procedures.…”

“…A different iterative optimization procedure is proposed in Reference [17], based on the matrix conjugate gradient algorithm, which is shown to converge faster than conventional gradient descent methods. Finally, some recent papers [18,19] propose architectures for two-way relaying based on relay/antenna selection strategies.…”

Sub-optimal Power Allocation with Best Relay Algorithm in Multiple Antenna MIMO Relays Networks

“…In the first time slot the source sends out scaled symbol block with zero mean and unit variance to the other nodes. The received signal at the destination is expressed as: In the second time slot the th i relay node amplifies and forwards a scaled copy of (2) to the destination according to the rule of MRT [7]. The received signal at the destination via the relay is given by: …”

“…In [7] the Author focus computing the source covariance matrix (or matrices) and the relay transformation matrix to optimize a system performance, however the algorithm is rather complex and applied for only single case when the relay node is an access point. In [8] the author study the structural properties of the optimal power allocation in MIMO-CN with per-node power constraints as it been applied at the source, however schemes require large feedback and knowledge, while [9][10] joint source power allocation and relay beamforming in multi-user multi-relay networks that use single-carrier frequency division multiple access (SC-FDMA) however this approach requires additional data traffic, therefore motivated by [6][7][8][9][10] we propose an amplify-andforward (AF) relay scheme of transmission, where two single antenna nodes communicate via MIMO relay(s) access points occupied with Q antennas.…”

“…In [8] the author study the structural properties of the optimal power allocation in MIMO-CN with per-node power constraints as it been applied at the source, however schemes require large feedback and knowledge, while [9][10] joint source power allocation and relay beamforming in multi-user multi-relay networks that use single-carrier frequency division multiple access (SC-FDMA) however this approach requires additional data traffic, therefore motivated by [6][7][8][9][10] we propose an amplify-andforward (AF) relay scheme of transmission, where two single antenna nodes communicate via MIMO relay(s) access points occupied with Q antennas. To obtain maximal achievable received SNR, we assume that the relays is able to perform the rule of maximal ratio combining (MRC) [11] on the received signal as well as the rule of maximal ratio transmitting (MRT) [11] on the forwarded signal.…”