# 4.6 Java1490-2d fourier transforms using java, part 1

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Learn how the space domain and the wavenumber domain in two-dimensional analysis are analogous to the time domain and the frequency domain in one-dimensional analysis. Learn about some practical examples showing how 2D Fourier transforms and wavenumber spectra can be useful in solving engineering problems involving antenna arrays.

Revised: Tue Oct 20 11:48:13 CDT 2015

This page is included in the following book: Digital Signal Processing - DSP

## Preface

This is the first module of a two-part series. In this module, I will:

• Explain the conceptual and computational aspects of 2D Fourier transforms
• Explain the relationship between the space domain and the wavenumber domain
• Provide sufficient background information that you will be able to appreciate the importance of the 2D Fourier transform

## Two separate programs

In Part 2 of this series, I will present and explain two separate programs. One program consists of asingle class named ImgMod30 . The purpose of this class is to satisfy the computational requirements for forward and inverse 2D Fouriertransforms. This class also provides a method for rearranging the spectral data into a more useful format for plotting. The second program named ImgMod31 will be used to test the 2D Fourier transform class, and also to illustrate the use of 2D Fourier transforms for some well known samplesurfaces.

A third class named ImgMod29 will be used to display various 3D surfaces resulting from the application of the 2D Fourier transform. Iexplained this class in an earlier module titled Plotting 3D Surfaces using Java ..

## Digital signal processing (DSP)

This and the following module will cover some technically difficult material in the general area of Digital Signal Processing, or DSP for short. As usual, the betterprepared you are, the more likely you are to understand the material. For example, it would be well for you to already understand the one-dimensionalFourier transform before tackling the 2D Fourier transform. If you don't already have that knowledge, you can learn about one-dimensional Fourier transforms bystudying the following modules :

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scanning tunneling microscope
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what is the actual application of fullerenes nowadays?
Damian
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Tarell
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