6 problems

Optimality conjecture. The new obtained modulation formats are optimal for their size and optimization criteria over uncoded single-subcarrier IM/DD channels.

A signal constellation has minimum squared Euclidean distance $d^2$ and let $n_d$ denote the number of pairs of constellation points separated by that distance. Alvarado–Guenzi–Agr…

Let a constellation be a set of signal points used for transmission over a nonlinear satellite channel, and consider the optimization of such constellations under an imposed symmet…

Let constellation (d) be the constellation from the comparison under discussion, and let $\operatorname{SEP}$ denote its symbol error probability at input powers of…

Peak-optical-power conjecture. For any $Omega\thissubset Upsilon$,

Let a constellation be used on a Gaussian channel, and let $d_{\textrm{min}}$ denote its minimal Euclidean distance. Minimum-distance conjecture. For high instantaneous SNR, maximi…