Title :
A Ramanujan spherical code
Author :
De Brunner, V.E. ; Allali, Mohamed H.
Author_Institution :
Sch. of Electr. & Comput. Eng., Oklahoma Univ., Norman, OK, USA
fDate :
Oct. 29 2000-Nov. 1 2000
Abstract :
A method for placing points (code vectors) on the unit sphere is presented. This method is based on a Ramanujan set of rotations, and generates an equidistributed system of points. An upper bound for Ramanujan spherical code is presented. This method is flexible and easy to implement as it needs only few transformations to cover the whole unit sphere with spherical caps.
Keywords :
codes; set theory; Ramanujan set of rotations; Ramanujan spherical code; code vectors; equidistributed points system; spherical caps; unit sphere; upper bound; Chemistry; Computer science; Error correction codes; Euclidean distance; Gaussian channels; Geometry; Mathematics; Physics computing; Spread spectrum communication; Upper bound;
Conference_Titel :
Signals, Systems and Computers, 2000. Conference Record of the Thirty-Fourth Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-7803-6514-3
DOI :
10.1109/ACSSC.2000.911057
