Transmit beamforming using singular value decomposition

In this paper, a beamforming scheme has been proposed for a multiple input multiple output channel which forms a closed loop system. This wireless channel incorporates binary phase shift keying modulation technique. The fact that the channel state information is known to the transmitter and receiver has been utilized in generating the channel matrix. Singular value decomposition has been performed over the channel matrix to obtain the eigen values and eigen vectors. Transmit beamforming makes use of precoded symbols and transmits them over independent Rayleigh fading channels. The precoded symbols are obtained by multiplying the input with the unitary matrix. At the receiver, symbols are combined using maximal ratio combiner and reshaped to extract the original signal by multiplying the received signal with conjugate transpose of unitary matrix. Comparison has been done on bit error rate without beamforming and that with beamforming. Simulation results prove that bit error rate performance with beamforming for a MIMO system outperforms a MISO system.