| Authors: | Moraga, Claudio Stanković, Radomir Stanković, Milena Stojković, Suzana |
Title: | On Fixed Points of the Reed-Muller-Fourier Transform | Journal: | Proceedings of The International Symposium on Multiple-Valued Logic | First page: | 55 | Last page: | 60 | Conference: | 47th IEEE International Symposium on Multiple-Valued Logic, ISMVL 2017; Novi Sad; Serbia; 22 May 2017 through 24 May 2017 | Issue Date: | 30-Jun-2017 | ISBN: | 978-1-509-05495-4 | ISSN: | 0195-623X | DOI: | 10.1109/ISMVL.2017.36 | Abstract: | The Reed-Muller-Fourier transform combines relevant aspects of the RM transform and the DFT. It constitutes a bijection in the set of p-valued functions. Some properties of the transform matrix are formally analyzed and its eigenvectors with eigenvalue λ = 1, which are its fixed points, are studied. Some methods to generate fixed points from known fixed points are presented and the number of fixed points for some values of p and n are given. |
Keywords: | Eigenvectors | fixed points | Reed-Muller-Fourier transform | Publisher: | IEEE |
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