Wow! You just covered close to a whole semester's overview of Fourier Analysis in under 20 minutes. I took a class on it last year and it was by far the most intense mathematics I have had to do so far in my degree. There was so much more towards the end of my semester that I just gave up on understanding in order to hopefully salvage my grades by focusing on less, so if you know more on this topic, I would absolutely love to see more!
Hey @Filup, thank you for the kind words. Yeah, Fourier analysis and transform is really a broad topic, so there's much more to cover than what was shown in this video. Maybe, I will do another video tackling Fourier transform in the future ;)
@@splience I am looking forward to it! The topic got so advanced and honestly, there isn't enough high quality advanced mathematics content creators on UA-cam since it's hard to hold the audience. I found your video a good balance between the advanced and also just simple enough for a less educated mathematics enthusiast grasp. There are so many things I want to dive into, but I haven't the time! Algebraic number theory, knot theory, cellular automata. I have a hobby project combining category theory and group theory, and its something I look forward to having more time to focus on. I am excited to see what else you make to help keep me procrastinating!
Just a reminder: SoME4 will, presumably, take place in 2025. This is "only" SoMEπ. It is community-driven and there will be no price money and no 3Blue1Brown top 5 video this year.
This could have been a wonderful introduction to an undergraduate course in Speech Processing, but I did not research enough before opting for one such course being offered by the ECE dept at my uni, and we ended up brushing up Signals and Systems (DTFS, DTFT, DCT, FFT) for like 10weeks, jumping into the 'sound' component for only 5-6weeks... The course instructor followed a book from the 1990's, the only enjoyable part we learnt was about Hidden Markov Models, which is a probabilistic model to predict the next word (or what I understood of it)
As mentioned in the video, you can checkout the jupyter notebook here: github.com/Splines/fourier-analysis-basics
Here from Another Roof!
Another Roof sent me here. Awesome video.
Wow! You just covered close to a whole semester's overview of Fourier Analysis in under 20 minutes. I took a class on it last year and it was by far the most intense mathematics I have had to do so far in my degree. There was so much more towards the end of my semester that I just gave up on understanding in order to hopefully salvage my grades by focusing on less, so if you know more on this topic, I would absolutely love to see more!
Hey @Filup, thank you for the kind words. Yeah, Fourier analysis and transform is really a broad topic, so there's much more to cover than what was shown in this video. Maybe, I will do another video tackling Fourier transform in the future ;)
@@splience I am looking forward to it! The topic got so advanced and honestly, there isn't enough high quality advanced mathematics content creators on UA-cam since it's hard to hold the audience. I found your video a good balance between the advanced and also just simple enough for a less educated mathematics enthusiast grasp.
There are so many things I want to dive into, but I haven't the time! Algebraic number theory, knot theory, cellular automata. I have a hobby project combining category theory and group theory, and its something I look forward to having more time to focus on. I am excited to see what else you make to help keep me procrastinating!
Really great video. Also touches on the probability and real analysis 11:14 gem
Here from anotherroof's video!!
This channel really deserves 1 million subscribers ❤❤❤❤
Thanks, working on it 😅 And got some new videos upcoming in the next year, stay tuned...
You explained it very well, I understood most of the video although I don't even know one thing about Fourier stuff
Great video. I had no idea that old telephone sounds were made by the summation of two sine wats.
Just a reminder: SoME4 will, presumably, take place in 2025. This is "only" SoMEπ. It is community-driven and there will be no price money and no 3Blue1Brown top 5 video this year.
Thanks for this great explanation.
This could have been a wonderful introduction to an undergraduate course in Speech Processing, but I did not research enough before opting for one such course being offered by the ECE dept at my uni, and we ended up brushing up Signals and Systems (DTFS, DTFT, DCT, FFT) for like 10weeks, jumping into the 'sound' component for only 5-6weeks...
The course instructor followed a book from the 1990's, the only enjoyable part we learnt was about Hidden Markov Models, which is a probabilistic model to predict the next word (or what I understood of it)
That is awesome❤
Great video❤
I here before 100 subs)
well made!
Nice lecture
Here fron Another roof !