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Shaping of multidimensional signal constellations using a lookup table

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2 Author(s)
Khandani, A.K. ; Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada ; Kabal, P.

This paper describes a lookup table for the addressing of an optimally shaped constellation. The method is based on partitioning the subconstellations into shaping macro-shells of integer bit rate and increasing average energy. The macro-shells do not need to have an equal number of points. A lookup table is used to select a subset of the partitions in the cartesian product space. By devising appropriate partitioning/merging rules, we obtain suboptimum schemes of very low addressing complexity and small performance degradation. The performance is computed using the weight distribution of an optimally shaped constellation

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Information Theory, IEEE Transactions on  (Volume:40 ,  Issue: 6 )