Title :
On the number of points on shells for shifted Z4n lattices
Author_Institution :
Dept. of Electr. Eng., Laval Univ., Que., Canada
fDate :
3/1/1991 12:00:00 AM
Abstract :
A conjecture is proven on the number of points on shells for the shifted Z4 and the shifted Z8 lattices. Furthermore, the results are extended to any shifted Z4n lattice (n=0, 1, . . .). These results provide an easy way to compute the number of points on shells for the type of lattices used in the design of multidimensional signal sets or in vector coding
Keywords :
encoding; information theory; multidimensional signal sets; number of points; shells; shifted Z4n lattices; vector coding; Jacobian matrices; Lagrangian functions; Lattices; Multidimensional systems; Signal design;
Journal_Title :
Information Theory, IEEE Transactions on
