Abstract: A combined frame mapping technique that uses aspects of Minimum Modulus Conversion (MMC) and Shell Mapping (SM) to map data bits to a sequence of data symbols, or points. The apparatus includes a shell mapper to generate ring indices from K data bits and a modulus converter to select the signal points from within the ring based on B data bits. The apparatus and method permits the use of constellations having any integer number of points per ring. Variations in the constellations from time-slot to time-slot within a frame are also accommodated. The number of rings in each constellation remains constant, but the moduli vary. MMSM produces d.sub.min equal to the best of MMC and SM, and in some cases d.sub.min, may be better than that for either MMC or SM.