Abstract:
Various embodiments of the present invention provide apparatuses and methods for encoding and decoding data for constrained systems with reduced or eliminated need for hardware and time intensive arithmetic operations such as multiplication and division.
Abstract:
Various embodiments of the present invention provide systems and methods for encoding and decoding data for constrained systems with state-split based encoders and decoders.
Abstract:
A storage system includes a storage medium operable to maintain a data set, a read/write head assembly operable to write the data set to the storage medium and to read the data set from the storage medium, a multi-level enumerative encoder operable to encode the data set before it is written to the storage medium as encoded data, wherein the enumerative encoder applies an enumeration using a plurality of level-dependent bases, and a decoder operable to decode the data set after it is read from the storage medium.
Abstract:
A method of generating a hardware encoder includes generating a first directed graph characterizing a constraint set for a constrained system, identifying a scaling factor for an approximate eigenvector for the first directed graph, applying the scaling factor to the approximate eigenvector for the first directed graph to yield a scaled approximate eigenvector, partitioning arcs between each pair of states in the first directed graph, performing a state splitting operation on the first directed graph according to the partitioning of the arcs to yield a second directed graph, and generating the hardware encoder based on the second directed graph.
Abstract:
A storage system includes a storage medium operable to maintain a data set, a read/write head assembly operable to write the data set to the storage medium and to read the data set from the storage medium, a multi-level enumerative encoder operable to encode the data set before it is written to the storage medium as encoded data, wherein the enumerative encoder applies an enumeration using a plurality of level-dependent bases, and a decoder operable to decode the data set after it is read from the storage medium.