MTR decoding employing MAP algorithm in Boolean logic circuits

Soft-decision decoding of maximum-transitionrun (MTR) codes have been required in order to utilize those codes in modern data storage systems. The maximum a posteriori (MAP) algorithm, based on Bayesian algorithm, computing a posteriori information using set of valid MTR codewords, already has been presented. The MAP method proves as a valuable for the MTR decoding in several magnetic recording applications. In this paper, the MAP approach has been considered for utilization in basic Boolean logic circuits, trying to assemble a new low-complex and soft-decision MTR decoder. The proposed idea was considered with simple and well known rate 4/5 (2, k = 8) MTR code, without loosing in generality, over E
²
PR4 magnetic recording channel.