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Optimal shaping properties of the truncated polydisc

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2 Author(s)
F. R. Kschischang ; Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada ; S. Pasupathy

Multidimensional constellation shaping with a family of regions called truncated polydiscs is studied. This family achieves maximum shaping gain for a given two-dimensional peak-to-average energy ratio or a given two-dimensional constellation expansion ratio. An efficient algorithm for mapping data words to constellation points is described that requires O(N log N) arithmetic operations and O(N2) lookup table space. Truncated polydisc shaping can easily be incorporated into standard coded modulation schemes

Published in:

IEEE Transactions on Information Theory  (Volume:40 ,  Issue: 3 )