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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 an n -dimensional lattice, with an equal number of points from each coset of a sublattice '. One part of the input stream drives a generalized convolutional code whose outputs are cosets of ', while the other part selects points from these cosets. Several of the new codes are better than those previously known.
Calderbank et al. (Sun,) studied this question.