Title :
Asymptotic Elias bound for Euclidean space codes over uniform signal sets
Author :
Rajan, B. Sundar ; Viswanath, G.
Author_Institution :
Dept. of Electr. Commun. Eng., Indian Inst. of Sci., Bangalore, India
Abstract :
We extend Piret´s (1986) upper bound to codes over uniform signal sets (a signal set is referred to be uniform if the Euclidean distance distribution is same from any point in the signal set) which include as a special case codes over symmetric PSK signal sets and all signal sets matched to groups (Loeliger 1991). The probability distribution that gives optimum bound is obtained for codes over simplex, biorthogonal signal sets and Hamming spaces
Keywords :
codes; modulation coding; phase shift keying; probability; Euclidean distance distribution; Euclidean space codes; Hamming spaces; Piret´s upper bound; asymptotic Elias bound; optimum bound; probability distribution; simplex biorthogonal signal sets; symmetric PSK signal sets; uniform signal sets; Entropy; Euclidean distance; Hamming distance; Information theory; Notice of Violation; Phase shift keying; Probability distribution; Signal analysis; Upper bound;
Conference_Titel :
Information Theory and Communications Workshop, 1999. Proceedings of the 1999 IEEE
Conference_Location :
Kruger National Park
Print_ISBN :
0-7803-5268-8
DOI :
10.1109/ITCOM.1999.781440
