Four-Dimension Cross Constellations with Gray Mapping

TL;DR

This paper introduces a new 4D cross constellation with Gray mapping that effectively reduces PAPR and improves error performance compared to existing schemes.

Contribution

It proposes a novel bits-to-signal Gray mapping for 4D cross constellations, enhancing PAPR reduction and error performance.

Findings

Effective PAPR reduction demonstrated through simulations

Better error performance than existing 4D modulation schemes

Gray mapping proven for the proposed 4D constellation

Abstract

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