dude u saved me tons of work going through signal processing textbooks to understand the math and still not being able to apply anything, I was doing my neural signal processing homework, and this has saved me. Keep posting such cool content always :)
You have explained this complex concept (pun intended) to me in the most digestible way. I am have seen other text and videos and still have doubts. Your video suddenly clear all those up! Big Thank you!
This is again an excellent explanation, especially the background on FFT and "negative frequencies" ! I am looking forward to the HHT video. Thank you very much, Esther :-)
the imaginary component of the Schroedinger wave function is the quantum potential. Heisenberg discovered this is due to the negative frequency transitions in the phase - or I mean Professor Basil J. Hiley and Professor Alain Connes realized this noncommutative nonlocal truth. Please do a video on that - thanks for focusing on the negative frequencies. All the best, drew hempel
Just a quick question, when doing the inverse Fourier transform, even if we have eliminated the imaginary part by adding it with its complex conjugate, the Fourier coefficients themselves are still complex number, wouldn’t they still result in complex number back into the time domain ?
Hi, Esther - great video series. I have a question about the Hilbert Spectrum. My understanding is that the Hilbert Transform only results in one frequency at a given time, but the spectrum gives the energy over a range of frequencies. How do we get multiple frequencies/energies from the Hilbert Transform?
@@estherexplains7521 Just to clarify, we're talking about a procedure that can be done even if EMD is not performed first, correct? It makes sense how it could be done in conjunction with EMD (although I would expect the amount of detail to be in line with the number of IMFs - but there seems to be a lot more detail than that in the plot at 3:00), but I don't see much on Google outside of an EMD context. Do you have a code reference you can link?
@@FreeMarketSwine I am sorry, my previous answer wasn't well conceived. For the "plain" Hilbert transform and Hilbert spectrum without invoking the EMD, you really get only a single energy (squared amplitude) value and a single frequency value for each time step once we have transformed back into the physical domain. In the plots, it might appear as if there were several combinations of energy/frequency-values for a single time step but this is only a visual impression due to the high temporal resolution of the data. If you would zoom in, you would see that it is actually only a single value for each time step. And you are also right that when you use the EMD prior to the Hilbert transform, you get (maximum) as many energy/frequency combinations for each time step as you have modes. So three modes = max. three values (could be less if one or multiple modes do not contain significant information at the respective time step). I hope this clarified your questions! I will also try to provide some "hands-on" videos with matlab examples soon and I am planning to upload the code to gitlab, which might additionally help in understanding.
hello, EstherExplains , thanks for your great video and for helping us. I have a request, can you add all the important references in the description box, so if anyone wants to read more about the topic, it will be helpful for those.
Finde deine Videos sehr gut 👍. Deswegen wollte ich dich fragen, ob du deine Videos auch auf deutsch hochladen könntest oder Untertitel auf deutsch einschalten könntest? 🙂
Hey, wenn ich mal etwas mehr Zeit habe, könnte ich mich um die deutschen Videos kümmern... du kannst ja auf jeden Fall die automatisch erzeugten, deutschen Untertitel nehmen. Ist zwar nicht perfekt, aber so schlecht sind sie auch nicht ;)
you saved my final paper and undergraduation, thanks a lot!!
dude u saved me tons of work going through signal processing textbooks to understand the math and still not being able to apply anything, I was doing my neural signal processing homework, and this has saved me. Keep posting such cool content always :)
You have explained this complex concept (pun intended) to me in the most digestible way. I am have seen other text and videos and still have doubts. Your video suddenly clear all those up! Big Thank you!
so happy to hear that! :)
I have a humble request, please keep posting videos; you have great knowledge. Topics like the difference between FT, HT, and LT. VMD
Beautiful beginning ... I think I became your 1000th subscriber ... Godspeed Esther..🥰
Your explanations are amazing, would be really happy to see more content on this channel!
Very clear, concise, & practical explanation. Thank you.
Great series please continue explaining these concepts
Brilliantly explained, thank you.
This is again an excellent explanation, especially the background on FFT and "negative frequencies" !
I am looking forward to the HHT video. Thank you very much, Esther :-)
Are you in Instagram.
Thanks a lot for this video that was a really straightforward, illuminating explanation!
Waiting impatentily for the video on the Hilbert-Huang transform : )
very well explained, thank you very much!!
thanks :)
Very nice video, thanks
the imaginary component of the Schroedinger wave function is the quantum potential. Heisenberg discovered this is due to the negative frequency transitions in the phase - or I mean Professor Basil J. Hiley and Professor Alain Connes realized this noncommutative nonlocal truth. Please do a video on that - thanks for focusing on the negative frequencies. All the best,
drew hempel
Just a quick question, when doing the inverse Fourier transform, even if we have eliminated the imaginary part by adding it with its complex conjugate, the Fourier coefficients themselves are still complex number, wouldn’t they still result in complex number back into the time domain ?
Hi, Esther - great video series. I have a question about the Hilbert Spectrum. My understanding is that the Hilbert Transform only results in one frequency at a given time, but the spectrum gives the energy over a range of frequencies. How do we get multiple frequencies/energies from the Hilbert Transform?
@@estherexplains7521 Just to clarify, we're talking about a procedure that can be done even if EMD is not performed first, correct? It makes sense how it could be done in conjunction with EMD (although I would expect the amount of detail to be in line with the number of IMFs - but there seems to be a lot more detail than that in the plot at 3:00), but I don't see much on Google outside of an EMD context. Do you have a code reference you can link?
@@FreeMarketSwine I am sorry, my previous answer wasn't well conceived. For the "plain" Hilbert transform and Hilbert spectrum without invoking the EMD, you really get only a single energy (squared amplitude) value and a single frequency value for each time step once we have transformed back into the physical domain. In the plots, it might appear as if there were several combinations of energy/frequency-values for a single time step but this is only a visual impression due to the high temporal resolution of the data. If you would zoom in, you would see that it is actually only a single value for each time step. And you are also right that when you use the EMD prior to the Hilbert transform, you get (maximum) as many energy/frequency combinations for each time step as you have modes. So three modes = max. three values (could be less if one or multiple modes do not contain significant information at the respective time step). I hope this clarified your questions! I will also try to provide some "hands-on" videos with matlab examples soon and I am planning to upload the code to gitlab, which might additionally help in understanding.
hello, EstherExplains , thanks for your great video and for helping us. I have a request, can you add all the important references in the description box, so if anyone wants to read more about the topic, it will be helpful for those.
sure, that's a very good idea! I will add some references in the next days :)
Finde deine Videos sehr gut 👍. Deswegen wollte ich dich fragen, ob du deine Videos auch auf deutsch hochladen könntest oder Untertitel auf deutsch einschalten könntest? 🙂
Hey, wenn ich mal etwas mehr Zeit habe, könnte ich mich um die deutschen Videos kümmern... du kannst ja auf jeden Fall die automatisch erzeugten, deutschen Untertitel nehmen. Ist zwar nicht perfekt, aber so schlecht sind sie auch nicht ;)
Excellent.
very well explained.
thank you!
@@estherexplains7521 One doubt I have can you please explain the MatLab code for the Hilbert spectrum.
Very nice 🔥
Very useful
Thank u great video
Fantastic explanation! you are gorgeous!
Thank you so much :)