Layered generalized belief propagation detection on BPMR system with multi-track processing

In this paper, we compare the performance of the generalized belief propagation detector and the layered generalized belief propagation detector with a Log-MAP algorithm and max algorithm for the message passing on the factor graph. Which message-passing sequential of the LGBP detector is used to update the nodes sequentially instead of simultaneously in the factor graph. The simulation results show the performance bit error rate of the LGBP detector with the Log-MAP algorithm and max algorithm achieve the gains of about 0.2 dB, respectively, at BER = 10−5 over the GBP detector on the bit patterned media recording system at areal density 2 Tbits/in2.