Parallel demodulation of multidimensional signals

The design of constellations that allow a high degree of parallelism in the staged decoder structure and in addition allow soft decoding of the component algebraic codes based on a systolic algorithm amenable to VLSI implementation is considered. Combination of these multidimensional constellations with trellis-coded modulation (TCM) is also considered. Set partitioning is based on the partition of a linear code into a subcode and its cosets, and the author shows that a highly parallel demodulator structure can also be applied when TCM is used