Joint non-iterative beamforming schemes for SER minimization in Ad-Hoc network

This research paper proposes three joint transmit and receive (TX/RX) beamforming schemes for the minimization of symbol error rates of Ad-Hoc networks. The first beamforming scheme is based on minimizing the optimization problem of the total mean squared error between the transmitted and received data symbols. The second beamforming scheme is based on the projection of the effective channel on the space spanned by the channel matrix. The third one is the introduction of a practical beamforming scheme that is based on the strongest eigenvalues of the channel matrix. This beamforming scheme proves its optimality in its operation under the condition that the number of transmit antennas equal to or larger than the total number of receive antennas. The proposed joint TX/RX beamforming schemes are formulated in closed forms. Numerous numerical results are provided using the NS2 platform. The proposed beamforming schemes are compared with the widely adopted block diagonalization transmission scheme. The simulation results demonstrated that the proposed beamforming schemes achieved better symbol error rate performance than the block diagonalization scheme. Accordingly, more robust communications can be achieved for Ad-Hoc Networks. This research paper provides an efficient manner to meet the demanded reliability of Ad-Hoc networks which is a symbol error rate of 10-9.