Linear programming based joint detection of LDPC coded MIMO systems

In this work, we present a new multiple-input-multiple-output (MIMO) receiver that integrates the MIMO signal detection and the decoding of low density parity check coded data. This joint MIMO detector and decoder utilizes linear programming and achieves about 9.0 dB gain over existing works in terms of bit error rate (BER) of 4 × 10^-5 with comparable computational complexity. The proposed detector also outperforms the classic turbo equalizer by achieving up to 4.0 dB improvement over turbo equalizer at frame error rate (FER) of 1 × 10⁴. In fact, we can achieve further gain by improving the proposed joint detector through the use of redundant parity checks.