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- Java1490-2d fourier transforms
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
Table of contents
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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Source:
OpenStax, Digital signal processing - dsp. OpenStax CNX. Jan 06, 2016 Download for free at https://legacy.cnx.org/content/col11642/1.38
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