Performance of Log-MAP algorithm for graph-based detections on the 2-D interference channel

The read channel of magnetic recording system is affected by two-dimensional interference channel that is a combination of inter-symbol interference and inter-track interference. Inter-track interference is one of the biggest challenges in the high density magnetic recording systems and it can degrade the performance of the channels. In this work, we compare three variations of log-MAP algorithms for graph-based detectors in two-dimensional interference channels. The simulation results show the performance of the graph-based detector with the full log-MAP and extended log-MAP algorithms achieve the gains of about 0.1 and 0.05 dB at BER = 10^-5, over the max approximation on bit patterned media recording system with the areal density 2.5 Tbits/in².