volume | PIER Journals

Abstract

The design of a 2ⁿ×2ⁿ 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 n, are reported. These solutions allow the direct derivation of the scattering matrix coecients of symmetric and large Butler matrices.

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Dr. Céline Leclerc

Prof. Herve Aubert

Dr. Ahmed A. M. Ali

Dr. Ayoub Annabi

Dr. Maxime Romier