



Learn how the space domain and the wavenumber domain in twodimensional analysis are analogous to the time domain and the frequency domain in onedimensional 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 twopart 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 onedimensionalFourier transform before tackling the 2D Fourier transform. If you don't already
have that knowledge, you can learn about onedimensional Fourier transforms bystudying the following
modules :
Questions & Answers
nano basically means 10^(9). nanometer is a unit to measure length.
Bharti
do you think it's worthwhile in the long term to study the effects and possibilities of nanotechnology on viral treatment?
how to know photocatalytic properties of tio2 nanoparticles...what to do now
it is a goid question and i want to know the answer as well
Maciej
characteristics of micro business
Abigail
for teaching engĺish at school how nano technology help us
Anassong
Do somebody tell me a best nano engineering book for beginners?
what is fullerene does it is used to make bukky balls
are you nano engineer ?
s.
fullerene is a bucky ball aka Carbon 60 molecule. It was name by the architect Fuller. He design the geodesic dome. it resembles a soccer ball.
Tarell
what is the actual application of fullerenes nowadays?
Damian
That is a great question Damian. best way to answer that question is to Google it. there are hundreds of applications for buck minister fullerenes, from medical to aerospace. you can also find plenty of research papers that will give you great detail on the potential applications of fullerenes.
Tarell
what is the Synthesis, properties,and applications of carbon nano chemistry
Mostly, they use nano carbon for electronics and for materials to be strengthened.
Virgil
is Bucky paper clear?
CYNTHIA
so some one know about replacing silicon atom with phosphorous in semiconductors device?
Yeah, it is a pain to say the least. You basically have to heat the substarte up to around 1000 degrees celcius then pass phosphene gas over top of it, which is explosive and toxic by the way, under very low pressure.
Harper
Do you know which machine is used to that process?
s.
how to fabricate graphene ink ?
for screen printed electrodes ?
SUYASH
What is lattice structure?
of graphene you mean?
Ebrahim
Graphene has a hexagonal structure
tahir
On having this app for quite a bit time, Haven't realised there's a chat room in it.
Cied
what is biological synthesis of nanoparticles
what's the easiest and fastest way to the synthesize AgNP?
I start with an easy one. carbon nanotubes woven into a long filament like a string
Porter
many many of nanotubes
Porter
what is the k.e before it land
Yasmin
what is the function of carbon nanotubes?
Cesar
I'm interested in nanotube
Uday
what is nanomaterials and their applications of sensors.
what is system testing?
AMJAD
preparation of nanomaterial
how to synthesize TiO2 nanoparticles by chemical methods
Zubear
what's the program
Jordan
how did you get the value of 2000N.What calculations are needed to arrive at it
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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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