Low Complexity Affine MMSE detector for Iterative Detection-Decoding MIMO OFDM system

Iterative turbo processing between detection and decoding shows near-capacity performance on a multiple-antenna system. Combining iterative processing with optimum front-end detection is particularly challenging because the front-end maximum a posteriori (MAP) algorithm has a computational complexity that is exponential in the throughput. Sub-optimum detector such as the soft interference cancellation linear minimum mean square error (SIC-LMMSE) detector with near front-end MAP performance has been proposed. The asymptotic computational complexity of SIC-LMMSE remains O(nt2nr+ntnr3+ntMc2Mc) per detection-decoding cycle where nt is number of transmit antenna, nr is number of receive antenna, and Mc is modulation size. A lower complexity detector is the hard interference cancellation LMMSE (HIC-LMMSE) detector. HIC-LMMSE has asymptotic complexity of O(nt2nr+ntMc2Mc)but suffers exta performance degradation. In this paper, we introduce a frontend detection algorithm that achieves asymptotic computational complexity of O(ntMc2Mc). Simulation results demonstrate that the proposed low complexity detection algorithm offers exactly same performance as their full complexity counterpart in an iterative receiver while being computational more efficient.