Geometrically Shaped 2D Constellations for a Low Complexity Partially-Coherent AWGN Detection

2D geometrically shaped constellations that are simultaneously robust to both residual phase noise (RPN) and AWGN (named as xx(x)M-RPN, where xx(x) is the receiver type) for 8 to 256-ary PCAWGN reception. The presented formats are optimised at the indicative bit-wise achievable information rate (AIR) threshold of 0.9m bit/symbol, where m is the number of bits per constellation point. Additionally, we added AWGN-only constellations (xx(x)M-AWGN) to serve as a reference.Note: This is a supplementary dataset for journal submission. The uploaded constellations are optimised for a low-complexity PCAWGN demapper, although may also work well with the exact channel model and other PCAWGN approximations. Each of the constellations comes with linewidth symbol time product, SNR (i.e. signal to noise ratio) and RPN variance.