Linear precoded OFDM transmissions with MMSE equalization: Facts and results

This contribution aims at analyzing the performance of large linear precoded OFDM transmissions over fading wireless channels with limited diversity and MMSE equalization. Linear Precoding consists in multiplying by a N ◊ K isometric matrix a K dimensional vector obtained by serial to parallel conversion of a symbol sequence to be transmitted. Based on the Free Probability Theory, asymptotical analysis (N tends to infinity, K tends to infinity and K/N >tends to a constant) of the SINR is conducted to understand the different parameters involved in Linear Precoded OFDM schemes. The theoretical results are confirmed by numerical simulations when considering convolutional coding with finite memory.