Metric calculation for variable code rate decoding

Metric calculation design for variable code rate decoding of broadband trellis, TCM (trellis coded modulated), or TTCM (turbo trellis coded modulation). A single design can accommodate a large number of code rates by multiplexing the appropriate paths within the design. By controlling where to scale for any noise of a received symbol within a received signal, this adaptable design may be implemented in a manner that is much more efficient in terms of performance, processing requirements (such as multipliers and gates), as well as real estate consumption when compared to prior art approaches. In supporting multiple code rates, appropriately selection of the coefficients of the various constellations employed, using the inherent redundancy and symmetry along the I and Q axes, can result in great savings of gates borrowing upon the inherent redundancy contained therein; in addition, no subtraction (but only summing) need be performed when capitalizing on this symmetry.