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Edge-pairing isometries and counting Dirichlet domains on the densest tessellation {12g-6, 3} for signal set design

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Author(s):
de Souza, Mario Jose ; Faria, Mercio Botelho ; Palazzo, Reginaldo, Jr. ; Firer, Marcelo
Total Authors: 4
Document type: Journal article
Source: JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS; v. 349, n. 3, p. 14-pg., 2012-04-01.
Abstract

In this paper we present a systematic procedure for the establishment of edge-pairing isometrics in order to achieve the largest possible number (2g+1) of transformations pairing diametrically opposite edges and the angle between any two adjacent edges being equal to 2 pi/3 as well as a procedure for counting the number of Dirichlet domains on the densest tessellation {12g-6, 3} for signal set design with applications in space-time block codes [1]. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved. (AU)