The close-form solution for symmetric Butler matrices

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Abstract

The design of a 2 n×2 n 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 coefficients of symmetric and large Butler matrices.

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Leclerc, C., Aubert, H., Ali, A., Annabi, A., & Romier, M. (2012). The close-form solution for symmetric Butler matrices. Progress In Electromagnetics Research C, 26, 167–179. https://doi.org/10.2528/PIERC11111403

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