Title :
Fat struts: Constructions and a bound
Author :
Sloane, N. J A ; Vaishampayan, Vinay A. ; Costa, Sueli I R
Author_Institution :
AT&T Shannon Labs., Florham Park, NJ, USA
Abstract :
Given a lattice ¿ ¿ Rn, a cylinder anchored at two lattice points is called a strut if its interior does not contain a lattice point. We wish to determine the maximum radius of a strut of given length. Optimal struts are constructed in Z3 and Z4. We also derive, using a nonconstructive but elementary argument, an achievable lower bound on the product l¿n-1, where I and ¿ are the length and radius of a strut in Zn. The motivation for the problem comes from studying nonlinear analog communication systems.
Keywords :
set theory; fat struts; lattice points; n-dimensional cylinder; nonlinear analog communication systems; Communication systems; Conferences; Decoding; Gaussian channels; Image reconstruction; Information theory; Lattices; Random variables; USA Councils; Zinc;
Conference_Titel :
Information Theory Workshop, 2009. ITW 2009. IEEE
Conference_Location :
Taormina
Print_ISBN :
978-1-4244-4982-8
Electronic_ISBN :
978-1-4244-4983-5
DOI :
10.1109/ITW.2009.5351175
