Achievable diversity limits in a quantized MIMO-OFDM linear pre-coded system

In this paper, the effects of quantization on the achievable diversity of a linearly precoded Space-Time-Frequency (STF) and Space-Frequency (SF) coded MIMO-OFDM system are studied. A relationship between the maximum achievable diversity in a linearly precoded system and the number of quantization bits is derived. The performance of two different STF codes for various levels of quantization is simulated. These simulations are performed on an equal two ray channel, as well as a realistic channel. The simulations results matched the results predicted by the derived expressions. The effects of quantization on the diversity that STF and SF linearly precoded systems are able to extract, have been mathematically quantified.