Microsoft Corporation
Systems and methods for encoding and decoding data

Abstract:

A method for data retrieval includes receiving a set of probability metrics. A set of probability metrics is received for each one of a plurality of read values, and each probability metric of the set of probability metrics corresponds to a statistical likelihood that the read value is representative of one of a number of symbols. The symbols define a set of allowed transitions between a number of states, and a series of successive allowed transitions between states define allowed paths between the states. The method further includes determining a survival path between the states. The survival path is based on an accumulation of probability metrics corresponding to the statistical likelihood that successive ones of the plurality of read values are representative of successive ones of the symbols defining each transition in the survival path. The method further includes decoding a symbol stream based on the survival path.