Low complexity non-binary LDPC and modulation schemes communicating over MIMO channels

In this contribution, Pearl´s belief propagation (BP) algorithm is invoked for constructing a belief network, which is employed for developing a joint detection aided transmit diversity scheme and a non-binary LDPC decoder constructed over a finite field of GF(q). An exciting bit-by-bit detection scheme is further developed for creating the joint purely symbol-based LDPC/transmit diversity decoder. The performance of the proposed symbol-based system is benchmarked against the original bit-by-bit detection scheme, when communicating over an uncorrelated Rayleigh fading channel using two transmitters and two receivers. The associated detection complexities are also compared.