Fourier Transforms! Example problem part 1
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- čas přidán 29. 12. 2019
- In this video we run through a slightly harder Fourier transform example problem! We'll get more practice doing the integrals and see how far we need to go to get a reasonable solution for our function. Yay, math!
Questions about this or other math topics? Leave a comment and let's tackle it together!
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After like 5 video on this topic, yours is the first one I actually understood, thank you so much
so happy to hear that! glad it helped :)
thanks a lot for this explanation!! you are an excelent professor.
today I could learn and help a friend to solve fourier transform problems thanks to this video
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Thanks for the video, you're a great teacher!
Thanks so much!! Glad you found it useful !
Wow, this was really well explained, thanks! I'm just starting to learn fourier imaging now, and I'm so happy the CZcams Algorithm brought me here lol
very glad to hear it helped!! :D
Keep up the good work.....
Thank you so much!! This really helped me understand Fourier Transforms better and hopefully I can do well on my exam :)
Yayyy so glad to hear !! Trust yourself, you got this !!
Excellent keep it up
Thanks this helped me a lot!
Glad it helped!
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i love Fourier transformation now
So happy to hear!
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Thanks so much, glad you found it helpful!!
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But my knowledge is
F(w) has no 1/2pi in front of integral, the 1/2pi belong to f(t) am i wrong?
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I'm new to the concept of Fouries transformation. You divided by 1/2pie but I usually see the normalization factor as 1/srqt(pie). Is there a difference between the 2 and when to use the normalization factor 1/2pie. Thank you.
Good question! Various references differ on this factor. There are two other common alternatives:
1. Have the factor of 2pi multiply the f(x) integral instead of the g(alpha) integral, or
2. to have a factor of (1/sqrt(2pi) multiple BOTH of the integrals.
In all 3 cases, the result is the same it's just a choice of notation. Hope that helps!
@@JenFoxBot Got it. Thank you!!
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Do you always need to calculate the integral or could you use a table of formulas? (As for Laplace transform for example). I’m asking in a general sense and not for this example specifically ☺️
Great Q! The integrals can be a huge pain so if its a common integral form, or can be rewritten into a common form via u substitution, would highly recommend looking up!
@@JenFoxBot thank you so much for answering! I am stuck at a problem, f(t)=e^-(t^2+2t), should I solve the intergral or try and rewrite it into a “standard” transform that’s in a table of formulas?☺️ the intergral gets really complicated 😅
@@kajsajohansson7724 from first glance, id recommend using u sub on the part in the parentheses (let u= t^2 +2t, do the integral for e^-u du, then sub back in (will need to calculate du). This is also a common form so you should be able to find a similar example in a table, substituting your specific case with the general case. I'll do a quick search and see if I cN find one
cool teacher
Thank you!!
Please salov example s
Plz you have pdf file of forier trasform
unfortunately I do not, I'm working out of a textbook: Mathematical Methods in the Physical Sciences by Mary L. Boas. But, I bet you can find one using your preferred search engine!
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Cos(x) = (e^jx +e^-jx)/2 , you have divided by 2j which is incorrect
Please read video descriptions before posting comments like this.
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Do you privet tutor ?
Mam solve more problems
So glad to hear you wanna see more vids! Just got a dedicated filming space so I'm hoping to come out with more videos very soon!! :)
Find a way to turn off the autofocus in your camera, and your videos will be much better. It is constantly trying to find the right focus.
yup! if you check out later videos, they should be better.
your formula for euler's cos(theta) is incorrect. It should be all over 2, not 2j
I work really hard to make math videos for free and sometimes I make mistakes. Please read video descriptions to see if there is a correction before making comments like this bc it is a waste of time for both of us.
@@JenFoxBot there is nothing in the description and there is NO need for you to defensive. It might be helpful to someone watching the video that saw that and thinks it's true, or you might think it's true but there is no need to get very defensive. Thats the point of the math and science community. We correct and help each other
i cant understand anything
This video does require some background knowledge of calculus and series. I'd recommend watching my videos on mathematical series, like geometric series, to get a more solid foundation. Hope that helps!
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I live in the US ..... we're not having a great time atm but I'm hoping things will get better soon!
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