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 Digital signal processing  dsp
 Fourier analysis
 Java14902d fourier transforms
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
show that the set of all natural number form semi group under the composition of addition
what is the meaning
Dominic
explain and give four Example hyperbolic function
The denominator of a certain fraction is 9 more than the numerator. If 6 is added to both terms of the
fraction, the value of the fraction becomes 2/3. Find the original fraction.
2. The sum of the least and greatest of 3 consecutive integers is 60. What are the valu
1. x + 6 2
 = _
x + 9 + 6 3
x + 6 3
 x  (cross multiply)
x + 15 2
3(x + 6) = 2(x + 15)
3x + 18 = 2x + 30 (2x from both)
x + 18 = 30 (18 from both)
x = 12
Test:
12 + 6 18 2
 =  = 
12 + 9 + 6 27 3
Pawel
2.
(x) + (x + 2) = 60
2x + 2 = 60
2x = 58
x = 29
29, 30, & 31
Pawel
on number 2 question How did you got 2x +2
Ifeanyi
combine like terms. x + x + 2 is same as 2x + 2
Pawel
Q2
x+(x+2)+(x+4)=60
3x+6=60
3x+66=606
3x=54
3x/3=54/3
x=18
:. The numbers are 18,20 and 22
Naagmenkoma
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 3 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 113?
Mark = x,. Don = 3x + 1
x + 3x + 1 = 113
4x = 112, x = 28
Mark = 28, Don = 85, 28 + 85 = 113
Pawel
how do I set up the problem?
what is a solution set?
Harshika
find the subring of gaussian integers?
Rofiqul
hello, I am happy to help!
please can go further on polynomials quadratic
Abdullahi
I need quadratic equation link to Alpa Beta
divide by 2 on each side of the equal sign to solve for x
corri
Want to review on complex number
1.What are complex number
2.How to solve complex number problems.
Beyan
yes i wantt to review
Mark
use the y intercept and slope to sketch the graph of the equation y=6x
how do we prove the quadratic formular
please help me prove quadratic formula
Darius
hello, if you have a question about Algebra 2. I may be able to help. I am an Algebra 2 Teacher
thank you
help me with how to prove the quadratic equation
Seidu
may God blessed u for that.
Please I want u to help me in sets.
Opoku
x2y+3z=3
2xy+z=7
x+3yz=6
can you teacch how to solve that🙏
Mark
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point For:
(6111,4111,−411)(6111,4111,411)
Equation Form:
x=6111,y=4111,z=−411x=6111,y=4111,z=411
Brenna
(61/11,41/11,−4/11)
Brenna
x=61/11
y=41/11
z=−4/11
x=61/11
y=41/11
z=4/11
Brenna
Need help solving this problem (2/7)^2
what is the coefficient of 4×
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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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