At 8:55 I mention the low frequency components of the signal are resolved with bad time resolution. This is TRUE, however this therefore means they are resolved much better in frequency space. The point is that good frequency resolution is important for resolving low frequencies.

@Matter743

3 жыл бұрын

where is the future video?????????

@aaratidhungel4240

Жыл бұрын

Where is the future vedio I could not find it too.

@WholeLottaLau

Жыл бұрын

whatever happened to your research? why havent you posted part 2?

best explanation on wavelets i have found till now...Thanks

Part 2? 😢 This was such a great video, couldn't have asked for a better explanation.

I studied Wavelets to apply for my Graduate Thesis before youtube was even a concept. Thank You for using it for good!

YES! THANK YOU SO MUCH. This doesn't feel like black magic anymore.

Marvellous! I've been somewhat using an almost-wavelet transform for years without even knowing it lol. Thats because I've always been working on financial econometrics without any engineering background. When I first started, my friends who were working as QC engineers for a propellor manufacturer introduced to me a concept where I could model the cyclic components of the data not just by using variance and correlations, but more importantly, accurately modelling the durations of the periodic cycles. They explained how they can identify defects of enclosed, rotating parts without ever opening them up, and they would be correct every single time. Though, I wasn't really interested in the engineering part because I was too affixed on the concept. So I've been using a complex series of functions in python to do recursive FFT and Laplace transforms at different sliding intervals to capture time-frequency and time-resonance information for time series forecasting. I've always overlooked topics about wavelets without actually knowing how significantly they relate to me. Today, it was totally worth it to look into this subject as this will make my work so much easier. Thanks, whoever you are, keep it up!

This is a fantastic explanation. I am trying to wrap my head around wavelet analysis for my PhD (I am a Psychology student, this sort of applied mathematics is so foreign to me). But this has been really useful. Thanks so much!

this is literally the shortest yet the best explanation I've seen for these methods. Thanks a lot for the great quality of information and amazing explanation.

I have an exam in 2 hours… i think you safed my bachelor…

You did a great job saving many people's life.

I'm only halfway through, but this is already the best explanation of a wavelet transform (for image processing) that I've ever gotten. Thank you for a wonderful video.

Mr Andrew Nicoll, im very thankful to you because of this great explanation. I have been trying to understand it since a very long time and finally you have helped me. I need to know this concepts for my thesis, so thank you again!

It was a great tutorial of Wavelet Transform. Thank you so much

Magnificent! Please continue posting these videos. Thank you.

What a great visual explanation! Thanks so much.

Lovely stuff Mr Nicoll, very easy to follow. Thanks for the free education!

Best Wavelet explanation ever. Looking forward to your future videos

A very well explained video. Thanks Andrew.

That was one of the most easiest explaination on wavelets.. Thanks very much. Please continue your work.

Boy this is some explanation! You are a GOAT Andrew! Cheers.

This lecture is the best one for beginners! Its animation helps me to understand wavelets a lot. Thanks

I hated in the beginning, like Fourier again, I'm here for wavelets, but it is actually great, it all now fits in for me, and now I understand STFT despite it sounded exotic. The video is not flashy, even worse black letters on white screen, but it does great job, explanation is just great!

It's very intuitive, that helps a lot. Thank you for your work!

Awesome explanations!

You smart cookie 🍪☺️ I can’t wait for the future videos! ☺️

Thanks a lot! Very helpful. Waiting for your next video on denoising with DWT!

One of the best explanation for this topic love it totally ❤️

I didn't hear the sound of this video but I know this video is very useful for beginners like me! Thanks for your uploading!!

Superb explanation, it helped a lot - thank you!

Hey, it was the best explanation for beginner to have a concept of wavelet transform. Thanks.

Great content and explanation! Finally understood the wavelets via the stft! Only had to set the speed to 1.5x and if you added 3b1b-style visualization it’d gonna be a bomb!

Thank You . This video cleared my concepts .

Wonderfully explained! thanks

Great tutorial, well explained!

Amazing explanation! Thank you

Many thanks ....the best explanation I have ever seen ...

Thanks for the great video! Very helpful/friendly to layman🙂

Hi Andrew, many thanks for this amazing informative video on the "Wavelet transform". As you mentioned at the end of this video, within the Future Videos, you would cover topics like "Discrete Wavelet Transform, and Multilevel Decomposition". I searched through your page but unfortunately, I wasn't able to find them. Have you prepared those videos yet? If yes, could you please give an access link to them? I need more insight on this topic! I can not thank you enough for providing this information in public.

Great job in explaining the concept! This helped me a lot for my project :)

Thanks for great explanation......

Best explanation so far. 谢谢

Such a good explanation I want remaining videos..

Thanks a lot, waiting for the next video.

Nice explanation and great production value! Its really nice to see people putting there hearts into educational videos. At 8:03 you show the formula for the wavelet transform where the wavelet is complex conjugated. That would mean, that you calculate the cross correlation of the signal and the wavelet. This makes sens since you want to find out at which time the wavelet is present in the signal. However at 12:06 when you show the discreet wavelet transform there is no complex conjugate. Did you forget about it or did i get my math wrong?

great explanation

Very clear and helpful, thanks a lot

Great video, helped me get a way better perspective and understanding of the Wavelet Transform! Looking forward to future videos.

@AndrewNicoll

3 жыл бұрын

Michelle Gutiérrez That’s great to hear!

The best explanation for a beginner! Thank you so much for making this video Andrew❤️

@AndrewNicoll

3 жыл бұрын

It was my pleasure, I'm glad you liked it!

@leif1075

Жыл бұрын

@@AndrewNicoll how is shrunken better for low frewuency..isn't that counterintuitive..if you stretch it or zoom un you can better see high frequency shorter time components..but I guess I this case. Youndknt mean zoom in by stretched and shrinking doesn't clump or blur components together like one might validly think it would...see what i mean?

The finest and explicit explanation that I have seen! Thank you much, it helped me a lot ❤️❤️ Can you make a video on wavelet packet transform (WPT)? Thanks in advance!

very clear explaination.

Can't wait to see your next video on this. This is very useful for my research

@AndrewNicoll

3 жыл бұрын

I’m glad it helped! New video will be coming soon

Thanks, it's a helpful explanation

thank u so much for this informative video

very good video, make my brain rotation. like from China

Looking forward to your next video!

The video helps me a lot. I need wavelet transform for processing EEG signals. Looking forward to the coming videos!!!!

@eduardovega3591

3 жыл бұрын

Hey, have you already used it for processing EEG signals? Im making my research about wavelet transform, and I had like to solve a problem where processing EEG signals are involved, so I was wondering if you could perhaps share your mathematical develope with me. My mail is: eduvegah13@gmail.com. If you could and want to help, please email me with any type of information you got there. Thanks!

Oh, please follow up with details on the DWT and multilevel decomposition! I am subscribed now

So concise and clear! Plus very good presentation. Thank you!

@AndrewNicoll

Жыл бұрын

Glad you enjoyed it!

Thank you a lot for your video. :)

very goood explanason , i bhery muchh appre c ate this thanku

Love from IIT Guwahati

Nice Video

Yes, I need find out more about the use of Wavelet transform, for analog video signal processing, but I need to find a simple cut down way of doing this.

Good video

Excellent explanation. Would you have a worked example in a spreadsheet to understand the steps?

It is really useful, when Does the next video go out?

Thanks for this great tutorial ... at the 12:00 mark, in converting from a continuous to a discrete WT, we've lost the complex conjugate of the wavelet function, psi, during the conversion. why is this the case? Also, isn't a CWT/DWT similar to a cross-correlation function between two dissimilar signals, whose maximum represents the peak wavelet coefficient values?

Finally got it.🎉

Thank you :) I hope more videos please :)

@AndrewNicoll

3 жыл бұрын

Yes hopefully very soon! :)

Im the 1.5kth like! YAY! Great explanation! Keep up the great work!

@AndrewNicoll

2 жыл бұрын

Thank you! 😊

@neniscarlet3880

2 жыл бұрын

@@AndrewNicoll Dont mention!

Thanks. So, will you be making the next video about DWT?

Great video, thanks. What about the other parts?

Great work, are there more videos ?

Thank you

This is the best into to wavelets I've been able to find. Very clear and concise, and helpful. Could you please do the follow-up on denoising using wavelets?

@AndrewNicoll

Жыл бұрын

Hi Dan, that’s great to hear thank you! I’m really hoping to get that video up this summer

@DiegoMedina-zq6oo

Жыл бұрын

@@AndrewNicoll Excellent and valuable information. I am a computer engineering student that are working with wavelets and your explanation solved a lot of my doubts. A second part would be fantastic, thank you for all.

Looking for your video on Denoising.. is it available some where..

Thanks for the great video, clear explanations for someone like me with a relatively basic background in mathematics. Looking forward to your future videos on this topic. Would you have any recommendations for further reading regarding the background and application of wavelet transforms?

@AndrewNicoll

3 жыл бұрын

Hi David, I'm glad my video was helpful! When I first started to learn about the wavelet transform (2 months ago) I found The Wavelet Tutorial (linked below) by Robi Polikar. This offers clear and concise explanations of the WT as well as the STFT and goes into more mathematical detail than I did. In terms of WT applications, I only have experience in signal processing which is mainly what the WT is used for anyway :). A Fantastic thesis by Madhur Srivastava entitled "Improving Signal Resolution and Reducing Experiment Time in Electron Spin Resonance Spectroscopy via Data Processing" is where I started to learn about its applications in signal processing. If you can get access to his thesis, I would definitely recommend. The Wavelet Tutorial: web.iitd.ac.in/~sumeet/WaveletTutorial.pdf Good Luck!

@davidz4ao

3 жыл бұрын

@@AndrewNicoll I'll definitely check those out, appreciate the links!

@priyatm2881

2 жыл бұрын

@@AndrewNicoll Thank you so much for sharing this document, it is gold! Also thanks for the great video in the first place

@lautarorojasortiz4763

2 жыл бұрын

@@AndrewNicoll That text and your video helped me to understand why this type of transform is so useful! I really appreciate what you have shared! Thank you!

very good explanation. Do you have any paper or article published by you so that I reference it

Very nice explanation. Why do we take the complex conjugate of the wavelet? What happened with this?

I would like to know when the video on discrete wavelet transform will come..This video helped me understand what exactly wavelet transform is.

@AndrewNicoll

Жыл бұрын

It will be coming in September.

this is great, thank you for making it available. will you upload more videos on wavelet analysis?

@AndrewNicoll

3 жыл бұрын

Yes, definitely! Planning to do so this summer

you explained very well. I am Mathematics student want to do research in this topic. for this I have to make research proposal on wavelet and its applications in maths. can you help with this? I dont have any idea about this topic?

great video. where is the net video on ecg processing

What is empirical wavelet transform? please explain

Why was it necessary to introduce the wavelet function instead of just continuing with complex exponent as the basis? Great video!

Sir,could you please explain what is frequency resolution and time resolution?

waiting for the next videos........

Thank you so much for sharing knowledge. Finaly I've undestood the wavelet transform thanks to you. I would like to apply it on my signal and calculate the new analytic signal for wavelet. I tried to do it on matlab but I have some difficulty. I've used wden function but I got I don't know if it's working well. I don't know how to use parameters. Do you have any suggestions please ? Thank you again !

@AndrewNicoll

3 жыл бұрын

Thanks so much! Unfortunately my knowledge of Matlab isn't very good so I can't help you with that one. Ive only done signal processing in Python. Sorry about that.

@a.megzari

3 жыл бұрын

@@AndrewNicoll Thank you so much for your answer. Please do you know, in general : 1- how can we get the analytic signal after wavelet tranform. 2 - How do we have to choose the parameter of the wavelett trransform.

@AndrewNicoll

3 жыл бұрын

@@a.megzari I can only help you with question 2. One of the main parameters of the WT is the wavelet. Depending on what you want from your signal, you should choose a specific wavelet family (see link). Generally, I would suggest choosing a wavelet with similar morphology to your signal. In MATLAB you can use a discrete/continuous WT which is a function you can import. This will output your coefficients. The scale and time translation parameters are taken care of in the function itself. So really, your main parameter is your wavelet. Also remember you have different wavelet transforms: Decimated/Undecimated discrete WT's and continuous WT's. Wavelet families MATLAB: www.mathworks.com/help/wavelet/gs/introduction-to-the-wavelet-families.html Hope that helps!

@a.megzari

3 жыл бұрын

Andrew Nicoll Thank you so much 😊

Hello Andrew, I am working on a similar project on Electroencephalograph (EEG) Signals, would love to be able to contact you and talk to you. Good work with the content.

can I see your research about ECG

Is there any python library for doing wavelet transform on uneven sampled data

Hey. Dont you have any acces to information about EEG signalsm. Where a problem had been defined and solvdd using wavelet transform?

@AndrewNicoll

3 жыл бұрын

Hi! Sorry unfortunately I do not, my area of knowledge is entirly specific to ECG and MCG only.

Hello Andrew, I really like your Video. You are really helping me with my work. Do you mind if I use screenshots of your video (e.g. of the boxes) for my work? Of course I would add the source to it. Kind regards from Germany, André

@AndrewNicoll

Жыл бұрын

Hi André, of course go ahead! I’m glad it was helpful for you.

How to calculate and extract A and D coefficients? Is it A=F-D??

Hi thanks for the wonderful video! Really helps to understand, I was hoping to include some of these details in a report - would it be possible to provide references for the formulas?

@AndrewNicoll

2 жыл бұрын

Hi, have a look at this PhD thesis by Madhur Srivastava: "Improving Signal Resolution and Reducing Experiment Time in Electron Spin Resonance Spectroscopy via Data Processing" Thank you!

@sushmapallapothu9663

2 жыл бұрын

@@AndrewNicoll Fantastic! Thank you so much!

Where is your next video?

Part 2 plss

What is time localisation?

why are high pass portions not iteratively filtered? why only low pass portions are iteratively filtered?

where are the future vedios :'( i really need them .... like NOW

@AndrewNicoll

3 жыл бұрын

They’ll come out as soon as I’m free :). It’s busy being a physics undergrad. So stay tuned!

@hindbelkharchiche1654

3 жыл бұрын

@@AndrewNicoll I am working on labwork report and it is about wavelet .... Hope you'll get free very soon and thanks for your reply

@rezamaharlooei2400

Жыл бұрын

@@AndrewNicoll Hello and thank you for your great explanation on wavelet transform for beginners. I was wondering if you uploaded the future videos as you mentioned in the end of this video.