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
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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