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Multi-dimensional properties of One-dimensional discrete Fourier transform

Andrew V. Batrac
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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.

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Andrew V. Batrac. 2003-01-03. Multi-dimensional properties of One-dimensional discrete Fourier transform. https://arxiv.org/abs/math/0301017

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