%0 Journal Article
%T The Close-Form Solution for Symmetric Butler Matrices
%A C¨¦line Leclerc
%A Herve Aubert
%A Ahmed Ali
%A Ayoub Annabi
%A Maxime Romier
%J PIER    C
%D 2012
%I EMW Publishing
%R 10.2528/PIERC11111403
%X The design of a 2¡Á2 Butler matrix is usually based on an iterative process. In this paper, recurrence relations behind this process are found, and the close-form solutions, i.e., non-recursive functions of , are reported. These solutions allow the direct derivation of the scattering matrix coecients of symmetric and large Butler matrices.
%U http://www.jpier.org/pierc/pier.php?paper=11111403