Loved the video, clear explanation and created an easy illustration of the concept, while also relating math to its applications! I wish we had more videos like this
That was one of the best introductory videos on Fourier transforms on You Tube. You should make more videos because you have a talent for explaining difficult concepts. Most Fourier intro videos are made by people who in spite of their intelligence aren't smart enough to inhabit the mindset of novice viewers. They assume that the viewer understands more basic math-physics concepts than they actually do. Your uses of the amplitude-time recording of the violin was relatable to anyone. And the way you drew the "Change of Domain" graph from Amplitude-Time and rotated it to Amplitude- Frequency and made the two domains one 3-D graph was the strongest part of your video. Most other videos just switch between these two domain changes with two 2-D graphs and novice viewers lose the transition when they do this. Thanks and hope to see more from you!
Thank you! You're the first person to make it through the high/low/everywhere pass filters of my thick skull. Now I get it. You're awesome👍. New subscriber here.
What a great explanation supported by visuals and a real-world example. I would recommend that you make more instructional videos in this format if you have an interest in doing so. They would be very popular!
You’re an amazing teacher, this stuff is incredibly hard to explain in mathematical terms. I’ve only taken up to differential equations and remember really finding this topic fascinating when my professor touched on it but was intimidated by the mathematical rigor.
WHERE THE HELL WERE YOU ALL THIS TIME!!!!!!!!!!!!!!!!!!!!!! make more video like these!!! share your knowledge on sound engineering or whatever you know, your explanations are just out of this world! i would love to learn whatever the F you teach
Hi! That sounds cool :) - The program I used to record and get the Fourier analysis is just Audacity (there are tutorials online and links to them maybe at the end of my video on how to do the Fourier analysis on your recordings), and I screen recorded with the windows computer software. Hope that helps!
haiii i wanna ask something : 1. what app or software did you used to record the violin sound 2. after we found the frequency analysis, how can we identify the notes produced ??
Hi! I used the program Audacity for all my recordings and this video (ruclips.net/video/4doQZQwTXoM/видео.html) does a good job at showing what you can do in Audacity to further find out the fundamental frequencies of the notes (autocorrelation). Hope this helps!
Could Fourier transforms be an essential component of radio emissions from an alien intelligence? And would such emissions stand in contra distinction to naturally occurring sources of light emissions?
Hey Amy! I do not know what choards are! But I guess they are mixtures of pure notes. Perhaps it would be nice to on-the-spot decompose your violin choard into its pure notes so we can see! I understand your video looks as if it has to be 3min or less, but if you wanted its quite complicated but useful in one's toolbox to do so! I like to use Python. On it Numpy has the ability to do a numerical version of FFT which is the big bad equation you just showed! Once you get those blue peaks you have to delete all except one note (aka. filtering all else out). Repeat for each note then convert each little peak back to a pure note using an iFFT (the inverse process). In fact, the more notes you have, the more complicated it becomes for now a peak does no more represent a frequency, but a _linear combination_ of frequencies! Like αƒ₁ + βƒ₂, so you'd have to solve simultaneously and all that.. oh my god ..now that I think about it it would have been quite a mess haha! Good video!
I am having trouble understanding and knowing the methods in interpreting x(t) as the input to an integrable function. How do you get a function for the x(t) if you have messy input like signals from voices? This is the only step i need to know before i can really understand the process.
Good question! If you look at the left graph at 2:29 of our input x(t), you’ll see that the x axis measures time and the y axis measures amplitude. This is the same graph as our sound wave from the beginning of the video (0:00), which measures time on the x axis as you’re recording and the amplitude of your voice on the y axis (sound is being recorded as a function)! So x(t) is really just equal to whatever sound signal you want to input and find the frequencies of. I hope this helps and feel free to ask more questions of course!
Ah I think the confusion might be from the misunderstanding that signals are different from functions when signals themselves are a type of function. In the field of signals and systems, a signal is a description of how one parameter changes with respect to another parameter (hence a function) just like how the sound wave (aka signal) itself is a function of amplitude over time. Therefore, we can just plug in our signal directly because our signal is a function (and x(t) is just an arbitrary naming convention for input signals). As for the whether the signal is integrable, that should just follow math rules for what makes a function integrable (aka well defined, continuous, etc.). A fun thing you could look more into is Fourier Series, similar to Fourier Transforms, but they can only take in periodic signals (periodic functions repeat at regular intervals).
@@zeetox7694 if you take the leap to look at the finite number of samples in a time-series of audio-amplitudes as a discrete approximation of the "function" you get the discrete Fourier-transform. Then the question of integrable vanishes, what remains are the information about the signal below the Nyquist-frequency - half the sample-frequency.
Nice video, but I think you need to warn the viewers about the loud audio beforehand, I'm wearing an headphone so it's really hurt my ears at the beginning.
Apparently I can’t be clear enough for people to get it! I do have a degree in hardware and software development, control and regulation technology, and measurement technology from a university. I also know how to fly an aircraft… I was just reminding myself about the frequencies used by the ILS, yesterday as I tend not to keep thing in my head if they are easily available and non critical in my every day life. I also know a sht load of other things… I absolutely love the young gorgeous Israeli Jewish woman שלומית מלכה בתל אביב ישראל. I stand with Israel 🇮🇱 and their rights to defend themselves against terrorism. No I haven’t turned gay, nor do I fancy older women. A RUclips clip will not change anything of the above, nor do all the interactions in Paris France. At least if they don’t involve שלומית מלכה turning up in Paris and tell me a thing or two! So my next travel plan includes תל אביב ישראל שבת שלום
Loved the video, clear explanation and created an easy illustration of the concept, while also relating math to its applications! I wish we had more videos like this
That was one of the best introductory videos on Fourier transforms on You Tube. You should make more videos because you have a talent for explaining difficult concepts. Most Fourier intro videos are made by people who in spite of their intelligence aren't smart enough to inhabit the mindset of novice viewers. They assume that the viewer understands more basic math-physics concepts than they actually do. Your uses of the amplitude-time recording of the violin was relatable to anyone. And the way you drew the "Change of Domain" graph from Amplitude-Time and rotated it to Amplitude- Frequency and made the two domains one 3-D graph was the strongest part of your video. Most other videos just switch between these two domain changes with two 2-D graphs and novice viewers lose the transition when they do this. Thanks and hope to see more from you!
That was a brilliant description of the Fourier Transform in just 3 minutes!
Loved this video! Short and to the point but still clearly a lot of effort and care behind it. Excited to see more!
Thank you! You're the first person to make it through the high/low/everywhere pass filters of my thick skull. Now I get it. You're awesome👍. New subscriber here.
Beautiful explanation of the Fourier Transform and its application! Well done! Thank you!
Very clear and concise explanations, thank you!
I would be happy to see more from you. Your video is informative but also very concise. Keep up the good work.
SUPERB! Using Audacity to clearly illustrate the Fourier Transform! More videos please. Many thanks!
wow what a creative way to explain mathematics. U got yourself a new subscriber . Keep making such videos. :)
What a great explanation supported by visuals and a real-world example. I would recommend that you make more instructional videos in this format if you have an interest in doing so. They would be very popular!
You’re an amazing teacher, this stuff is incredibly hard to explain in mathematical terms. I’ve only taken up to differential equations and remember really finding this topic fascinating when my professor touched on it but was intimidated by the mathematical rigor.
Epic better than the last 50 videos i have watched to comprehend it function
Wow so cool. Relating Fourier to a very relevant application ,the music. Amazing
I almost heard my brain click, when you explained the transform from time to frequency domain. Thanks.
This feels like a really well done school project
Wow! Textbooks should begin with this as an example to establish the Fourier Transform importance. Nice!
This was cool, my dude. I find integral transforms to be like one of the tightest categories of math. Jijiji
When you wanna be a musician but your parents force you to become a mathematician
Awesome! Keep make videos with these topics!
WHERE THE HELL WERE YOU ALL THIS TIME!!!!!!!!!!!!!!!!!!!!!!
make more video like these!!! share your knowledge on sound engineering or whatever you know, your explanations are just out of this world! i would love to learn whatever the F you teach
Excellent video, but quick question, why do physics students fear tbe fourier transform so much ??
Great work! Super creative to use audacity as an oscilloscope.
nice explanation, thank you
Great video explanation. 👏
Such a cool explanation!
Great explanation keep up the good work
Amazing video!
Very well done dear
Hey I want to do an expiriment on this topic! How did u record you playing the sound, like what software did u use to get and extract the data?
Hi! That sounds cool :) - The program I used to record and get the Fourier analysis is just Audacity (there are tutorials online and links to them maybe at the end of my video on how to do the Fourier analysis on your recordings), and I screen recorded with the windows computer software. Hope that helps!
Cool video! Learned a lot in 5 min!! 😊
was this for a school project? good job!
haiii i wanna ask something :
1. what app or software did you used to record the violin sound
2. after we found the frequency analysis, how can we identify the notes produced ??
Hi! I used the program Audacity for all my recordings and this video (ruclips.net/video/4doQZQwTXoM/видео.html) does a good job at showing what you can do in Audacity to further find out the fundamental frequencies of the notes (autocorrelation). Hope this helps!
Could Fourier transforms be an essential component of radio emissions from an alien intelligence? And would such emissions stand in contra distinction to naturally occurring sources of light emissions?
Make a video on wavelet transform
Hi what is the application you used to record your audio
Audacity, it's free
Great information
Hey Amy! I do not know what choards are! But I guess they are mixtures of pure notes. Perhaps it would be nice to on-the-spot decompose your violin choard into its pure notes so we can see!
I understand your video looks as if it has to be 3min or less, but if you wanted its quite complicated but useful in one's toolbox to do so!
I like to use Python. On it Numpy has the ability to do a numerical version of FFT which is the big bad equation you just showed! Once you get those blue peaks you have to delete all except one note (aka. filtering all else out). Repeat for each note then convert each little peak back to a pure note using an iFFT (the inverse process).
In fact, the more notes you have, the more complicated it becomes for now a peak does no more represent a frequency, but a _linear combination_ of frequencies! Like αƒ₁ + βƒ₂, so you'd have to solve simultaneously and all that.. oh my god
..now that I think about it it would have been quite a mess haha! Good video!
Yup! Chords are just multiple notes played at once. I didn’t know Numpy had FFY, but I’ll have to check it out!
Recommendations brought me here.
awesome!
I am having trouble understanding and knowing the methods in interpreting x(t) as the input to an integrable function. How do you get a function for the x(t) if you have messy input like signals from voices? This is the only step i need to know before i can really understand the process.
Good question! If you look at the left graph at 2:29 of our input x(t), you’ll see that the x axis measures time and the y axis measures amplitude. This is the same graph as our sound wave from the beginning of the video (0:00), which measures time on the x axis as you’re recording and the amplitude of your voice on the y axis (sound is being recorded as a function)! So x(t) is really just equal to whatever sound signal you want to input and find the frequencies of. I hope this helps and feel free to ask more questions of course!
@@amyzliu how do we make sure we can use the fourier transform on a signal. In other words. How we change the signal to an integrable function?🙂
Ah I think the confusion might be from the misunderstanding that signals are different from functions when signals themselves are a type of function. In the field of signals and systems, a signal is a description of how one parameter changes with respect to another parameter (hence a function) just like how the sound wave (aka signal) itself is a function of amplitude over time. Therefore, we can just plug in our signal directly because our signal is a function (and x(t) is just an arbitrary naming convention for input signals). As for the whether the signal is integrable, that should just follow math rules for what makes a function integrable (aka well defined, continuous, etc.). A fun thing you could look more into is Fourier Series, similar to Fourier Transforms, but they can only take in periodic signals (periodic functions repeat at regular intervals).
@@zeetox7694 if you take the leap to look at the finite number of samples in a time-series of audio-amplitudes as a discrete approximation of the "function" you get the discrete Fourier-transform. Then the question of integrable vanishes, what remains are the information about the signal below the Nyquist-frequency - half the sample-frequency.
✨Thank you 🙏✨
(0:53) "See and therefore know"
great
thanks,
If you’re only a high schooler, you’re going to Harvard. Nice work.
Whenever I see fourier... I click
Love it subbed!
Nice video, but I think you need to warn the viewers about the loud audio beforehand, I'm wearing an headphone so it's really hurt my ears at the beginning.
Thanks for the feedback!
Nice
why you say about species?
Some endangered species of birds make sounds at a certain frequency that can be detected and tracked using signal processing :)
Apparently I can’t be clear enough for people to get it!
I do have a degree in hardware and software development, control and regulation technology, and measurement technology from a university.
I also know how to fly an aircraft… I was just reminding myself about the frequencies used by the ILS, yesterday as I tend not to keep thing in my head if they are easily available and non critical in my every day life.
I also know a sht load of other things…
I absolutely love the young gorgeous Israeli Jewish woman שלומית מלכה בתל אביב ישראל.
I stand with Israel 🇮🇱 and their rights to defend themselves against terrorism.
No I haven’t turned gay, nor do I fancy older women.
A RUclips clip will not change anything of the above, nor do all the interactions in Paris France.
At least if they don’t involve שלומית מלכה turning up in Paris and tell me a thing or two!
So my next travel plan includes תל אביב ישראל
שבת שלום
was good but fast explanation
Noiceee
There is no math " behind" Fourier transform, it's math
True! What I meant to say is how the Fourier transform mathematically works so perhaps saying math behind it was a bit too confusing.
You're beautiful and you explain Fourier Transform intuitively. please make videos like this we are with you.
Amy W
I like you