Sparse Eigenvectors of the Discrete Fourier Transform
Information Theory
2009-11-17 v1 math.IT
Authors:
William F. Bradley
Abstract
We construct a basis of sparse eigenvectors for the N-dimensional discrete Fourier transform. The sparsity differs from the optimal by at most a factor of four. When N is a perfect square, the basis is orthogonal.
Cite
@article{arxiv.0911.2922,
title = {Sparse Eigenvectors of the Discrete Fourier Transform},
author = {William F. Bradley},
journal= {arXiv preprint arXiv:0911.2922},
year = {2009}
}
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