Computing Fourier transforms with exponentials

  • Thread starter Thread starter js10j2jh
  • Start date Start date
  • Tags Tags
    Computing Fourier
js10j2jh
Messages
2
Reaction score
0

Homework Statement



Compute the Fourier transform of f(x)=exp(-b|x|), b>0

Homework Equations



F(k)=1/2pi(integral[inf,-inf]f(x)exp(ikx)dx)

The Attempt at a Solution



F(k)=1/2pi(integral[inf,-inf]exp(ikx-b|x|)

How do I solve this? I've tried to solve it but can't get to a solution because of the modulus sign.
 
Physics news on Phys.org
write the integral as sum of two integrals and integrate each one of them.
 
Thank you!
 
Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Thread 'Use greedy vertex coloring algorithm to prove the upper bound of χ'

Hi! I am struggling with the exercise I mentioned under "Homework statement". The exercise is about a specific "greedy vertex coloring algorithm". One definition (which matches what my book uses) can be found here: https://people.cs.uchicago.edu/~laci/HANDOUTS/greedycoloring.pdf Here is also a screenshot of the relevant parts of the linked PDF, i.e. the def. of the algorithm: Sadly I don't have much to show as far as a solution attempt goes, as I am stuck on how to proceed. I thought...
View full post »

Similar threads

Fourier Transform - Solutions Error?
Replies
5
Views
2K
Complex Fourier Series for cos(t/2)
Replies
3
Views
2K
Compute the integral of the Gaussian
Replies
3
Views
2K
How Do You Prove the Fourier Transform Definition Using Integral Evaluation?
Replies
5
Views
2K
A few questions to make sure I understand Fourier series
Replies
3
Views
2K
Maximum value of this integral
Replies
7
Views
3K
Fourier transform integration using well-known result
Replies
9
Views
2K
Calculate the Fourier transform of the susceptibility of an Oscillator
Replies
1
Views
2K
Fourier transform of integral e^-a|x|
Replies
6
Views
3K
Fourier transformation (was: Homework title)
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top