Decoding methods and apparatus for fractional multidimensional trellis coded modulation systems

摘要

Systems and methods for encoding user information and decoding signal vectors using fractional encoding/decoding and set partitioning. A fractional encoder can select a coset for transmitting or storing user information based on one or more deterministic bits and on encoded user information. The deterministic bits limit the encoder to using only a subset of the available signal vectors in a modulation scheme. A fractional decoder can receive a signal vector, and can find at least two nearest neighbors in each dimension. The fractional decoder can form a set of potential signal vectors using only the at least two nearest neighbors. The decoder may determine which of these potential signal vectors are valid within the fractional signaling scheme, and can decode the received signal vector based on the valid potential signal vectors.