Multi-dimensional properties of One-dimensional discrete Fourier transform
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
A mathematical relation between elements of one- and multi-dimensional discrete Fourier transforms (DFT) is found. A method of analysing the multi-dimensional data by their single one-dimensional (1-D) DFT is offered. An experiment of filtering a two-dimensional image using the single 1-D DFT is carried out.
Cite
@article{arxiv.math/0301017,
title = {Multi-dimensional properties of One-dimensional discrete Fourier transform},
author = {Andrew V. Batrac},
journal= {arXiv preprint arXiv:math/0301017},
year = {2025}
}
Comments
10 pages, 2 figures, PDF size 300 KB