Fourier Transforms! Part 1
Vložit
- čas přidán 29. 12. 2019
- Let's add another useful tool to our bag of tricks! Unlike Fourier Series, Fourier Transforms let us represent non-periodic (non-repeating) functions, like a voltage pulse or a sound blip. In this video, we will do a quick review of Fourier Series, and use them to understand where Fourier transforms come from. We will also do a simple example, yay!
CORRECTION: In the formula for cosine, the bottom fraction should just be "2", without the "i" :)
Questions about this or other math topics? Leave a comment and let's tackle it together!
Like these videos? Please support my work by contributing to patreon: / jenfoxbot
Infinite thanks to these Patreon contributors:
Christopher M.
Limor F.
I really enjoy the way you teach stuff, like, a keep a big smile in my face through the whole video. You make it so easy and understandable while irradiating joy . Your channel is a treasure for me.
Wow, thank you! That makes me very happy to hear 🥰
Hahaha loved the bells at 17:40 ! Great content, thank you !
I have been using CZcams for more than 5 years for academic purposes and that is the first time I come across your channel! I don't know how come this happene but I feel like finding a treasure hidden deep on an island! thanks for breaking this subject for us as simple as possible! I am excited to watch the rest of your videos ..
Wow, thank you! Really appreciate your kind words and glad to hear that my videos are helpful 😄
Thank you so much for explaining it in such a clear manner!
Glad it was helpful!
Thank you for this explanation of Fourier transforms. Is a concept that I had difficulty with, but your video and enthusiastic teaching has assisted me in getting a better understanding of them.
Thank you for the kind words! So glad to hear the video is helpful 😄
Thank you for this free Education ❤
Thank you for watching and learning! :D
Math Mondays! Looking good, wonderful human! 😍
Thanks! 😄
Thank you!
16:53 I think there's a small mishap, and odd function times an odd function gives an even function not an odd function. It is somewhat rectified by the next sentence. All in all I LOVE these videos! :)
Whoops! Without checking id guess you're probably right, thanks for catching and flagging, I'll add a lil thing to the description.
And thanks for your support, friend!
Where have u been? This video was much needed during my graduation time.
Thanks a lot . 💐
Right on.
:D
Just one problem, in a similar video by blackpenredpen the Eulers identity for cos does not have a I in the denominator, where as you do? Can you please explain why.
The denominator of cosine should be changed to 2 instead of 2i
lol yes i put a correction in the description a long, long time ago. plz read before you make comments like this, it's frustrating to have to repeat myself.
g(α) is like the radius of the circle used right?,I meant it in terms of circles,my question is why should the radius of the circle depend of frequency ?
Great Video. How the isin(alpha x) is odd function i didnt get it
Fourier Transforms, interesting topic. You seem very energetic when teaching and I guess I should add you look great 😄. #goals.
Thanks! I love math, science, and education! :D LMK if you have any topic requests!
@@JenFoxBot I had a biology topic I am confused about: sexual reproduction in Humans. I am 15 in 10th grade. Help please
6:00 what is g(x) ? Is it F.T. ? I am kind of lost between f(x) and g(x)
Life saving explanation from you. Thank you very much and may Almighty Allah SWT bless you.
Thank you! Glad that it was helpful for you!
The coefficient of sine is used was lamda is that ok to use diffrent coefficients
i didn't use lamda in this video, which coefficient are you referring to? typically, we can use different symbols as long as we're consistent (both within the equations we're working w/ and as long as we're clear about what the symbols mean in different contexts).
@@JenFoxBot thanks 😊 mam
If f(x) is the fourier transform , then g(x) is the inverse. You didn't differentiate between the two. Again, your formular for f(x) representing the fourier transform; please check if it's correct.
I love you 😍
in cos0 will be......2 not 2i
Please read the video description before posting comments like this.
i like your brown hair.
i think there is something wrong with the mic
equation for cos O is wrong. should be over 2 not 2i
Good catch! Added a comment in the description
Sorry I can't concentrate with the teacher so pretty ;)
Lol I hope it ultimately makes learning math more motivating/interesting !
The Mathematical representation for digital to analog??? Digital is only ‘on or off’, 1 or 0, there’s no negative values. So PWM??? Using calculus
Yes, PWM is one way to do digital to analog conversion! There's also serial communication, which sends multiple bits (typically 8 i think?) And I feel like there's another method which I'm blanking on hah
@@JenFoxBot hexadecimal?
I have a ‘bitcoin conspiracy’ on hexadecimal now, thanks!
@@nicholasemmert307 hexadecimal is a common way of representing binary numbers since it's shorter and theoretically easier to read. super useful, but i wouldn't classify it in the category of methods for translating digital to analog.