Title :
On the Symbol Error Probability of Regular Polytopes
Author :
Agrell, Erik ; Karlsson, Magnus
Author_Institution :
Dept. of Signals & Syst., Chalmers Univ. of Technol., Goteborg, Sweden
fDate :
6/1/2011 12:00:00 AM
Abstract :
An exact expression is derived for the symbol error probability when the vertices of the four-dimensional 24-cell are used for digital transmission in Gaussian noise. Corresponding expressions for other regular convex polytopes are summarized. Numerically stable versions of these error probabilities are also obtained.
Keywords :
Gaussian noise; error statistics; modulation coding; Gaussian noise; digital transmission; regular polytopes; symbol error probability; Binary phase shift keying; Constellation diagram; Error probability; Optical fibers; Optical polarization; 24-cell; Convex polytopes; Voronoi cell; modulation; symbol error rate;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2011.2134290
