Implementation of wireless model for SVD based beam forming in MIMO systems

MIMO wireless system is considered with various modulation techniques such as BPSK and 16-QAM. After modulating the signal is sent through channel which is represented by beamforming technique using SVD. The channel is modeled as matrix and decomposed in to number of independent orthogonal modes of excitation which will be referred as eigen modes of channel. The transmit beamforming is produced by conducting the input signal with unitary matrix to perform transmit precoding, and the precoded symbols are transmitted over a Rayleigh fading channel. At receiver side, to retrieve the original input signal, the received signal is convolved with transpose of unitary matrix. The combining process is performed by using maximum ratio combiner (MRC) and receiver shape is performed. The derived expressions for average bit error rate (BER) for BPSK and average symbol error rate (SER) for M-QAM proves the quality factor of singular value decomposition (SVD) based beamforming schemes rather than other methods.