New trellis codes based on lattices and cosets
A.R. Calderbank, Neil J.A. Sloane · IEEE Transactions on Information Theory · 1987
A new technique is proposed for constructing trellis codes. which provides an alternative to Ungerboeck's method of "set partitioning." The new codes use a signal constellation consisting of points from ann-dimensional lattice\Lambda, with an equal number of points from each coset of a sublattice\Lambda '. One part of the input stream drives a generalized convolutional code whose outputs are cosets of\Lambda ', while the other part selects points from these cosets. Several of the new codes are better than those previously known.