Title
On Fixed Points of the Reed-Muller-Fourier Transform
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.
Year
DOI
Venue
2017
10.1109/ISMVL.2017.36
2017 IEEE 47th International Symposium on Multiple-Valued Logic (ISMVL)
Keywords
Field
DocType
Eigenvectors,fixed points,Reed-Muller-Fourier transform
Discrete mathematics,Combinatorics,Fixed-point iteration,Discrete Fourier transform (general),Discrete Fourier transform,Fixed point,Hartley transform,Discrete sine transform,S transform,Fractional Fourier transform,Mathematics
Conference
ISBN
Citations 
PageRank 
978-1-5090-5497-8
1
0.40
References 
Authors
5
4
Name
Order
Citations
PageRank
Claudio Moraga1612100.27
Radomir S. Stankovic218847.07
Milena Stanković3354.46
Suzana Stojković485.62