Title :
Optimal shaping properties of the truncated polydisc
Author :
Kschischang, Frank R. ; Pasupathy, Subbarayan
Author_Institution :
Dept. of Electr. & Comput. Eng., Toronto Univ., Ont., Canada
fDate :
5/1/1994 12:00:00 AM
Abstract :
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
Keywords :
encoding; modulation; optimisation; trellis codes; arithmetic operations; constellation points; data words; efficient algorithm; family of regions; lookup table space; maximum shaping gain; multidimensional constellation shaping; optimal shaping properties; standard coded modulation schemes; truncated polydisc; two-dimensional constellation expansion ratio; two-dimensional peak-to-average energy ratio; Additive noise; Bandwidth; Entropy; Feedback; Gaussian channels; Information theory; Linear matrix inequalities; Memoryless systems; Peak to average power ratio; Power engineering and energy;
Journal_Title :
Information Theory, IEEE Transactions on
