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Recently a four-dimension (4D) cross constellation has been proposed, where a4D-vector is drawn from two $(3\times 4^m)$-ary QAM constellations, in aneffort to reduce the peak-to-average-power ratio (PAPR). We construct abits-to-signal mapping and prove that it is a Gray mapping. Simulation resultsshow that the proposed modulation scheme is effective in reducing the PAPRwhile providing better error performance than existing 4D modulation schemes.

Four-Dimension Cross Constellations with Gray Mapping