Figure: An enumerative shaping trellis.
The enumerative shaping project started long ago in 1991 as an internal trainee-project done by Jos J. Wuijts at Eindhoven University of Technology (TU/e). The project was continued as a master-graduation project by Jos and was finished early 1993. The research resulted in a conference paper “Pragmatic Approach to Shaped Coded Modulation”, that was presented at the 1st IEEE Symposium on Communications and Vehicular Technology in the Benelux, in Delft, October 1993. Research in this area slowed down in TU/e since we found out in 1993 that it was overlapping with the shaping approach of Laroia, Farvardin and Tretter, that was published in the IEEE Transactions on Information Theory paper “On Optimal Shaping of Multidimensional Constellations” in 1994.
Our current activities employing enumerative shaping are related to wireless communications and optical communications:
Old Results and Publications
J.J. Wuijts, “De constructie van een energiebegrensde kanaalcode met behulp van enumeratieve technieken.”, Stageverslag, 14 Oct. 1991.
J.J. Wuijts, “Shaping and coding bij n-dimensionale Puls Amplitude Modulatie”, Afstudeerverslag, 21 Feb. 1993.
F.M.J. Willems and J.J. Wuijts, “A Pragmatic Approach to Shaped Coded Modulation”, in Proceedings of the IEEE 1st Symposium on Communications and Vehicular Technology in the Benelux, Delft, The Netherlands, pp. 4.3.1 - 4.3.6, October 27-28, 1993.