Wavelets and Multiresolution Analysis

This video discusses the wavelet transform. The wavelet transform generalizes the Fourier transform and is better suited to multiscale data.

These lectures follow Chapter 2 from:
"Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brunton and Kutz

This video was produced at the University of Washington

[nayeemshekh]

Dear Steve, Your lectures give very clear and good visual realization of the contents. Thank you very much. it is the best video in this context I have experienced. (y)

[fanfoire]

Your videos saved my internship, thank you

[tylervandermate]

This is possibly the best educational series on any topic I have ever encountered. I just got your book, and I trust it'll be amazing too.

Thank you!

[anniecarlile]

I've watched so many wavelet videos and this is the only one that clicked for me, thank you!!

[ATXMEG]

OMG, feeling yesterday I tried a time-frequency analysis based on a complex mother wavelet. I appreciate the time and effort for these great lectures! :)

[peterhall]

Really good overview. I recommend Ingrid's 10 Wavelets and Stephane's book A Wavelet Tour of Signal Processing. Ron Coifman and Yves Meyer have made massive contributions as well. Someone who has studied Fourier theory and functional analysis will appreciate the technical details of wavelet theory which impacts a lot of techolofy behind the scenes.

[wdobni]

nice orderly lecture with minimal hysteria and stammering and with good english not math inclined so its interesting to see people who are fluent in math and who give the impression that math has flow and continuity and some kind of mental image as a culture are mostly not math oriented and most people find higher math to be quite wish as a 6 or 8 year old in grade school we had immediately commenced with calculus math and began each day with doing an integral followed by 2 derivatives and then fleshing out the algebra and geo-trig around the nucleus of wish entire mornings were devoted to cutting up curves into miniscule paper rectangles and adding them up to find the area

we always leave the hardest subjects to the very should start with the hardest subjects first at age 6 when the brain is most plastic and elastic and absorbing every new idea like a many people would be more mathy.

[pavybez]

Super high quality educational content in all of your videos (from your playlist), with the right balance of math and intuition to learn every topic. Highly recommended. Great exposition that keeps you engaged and good progression of topics using nice short videos.

[NocturnalJin]

Love your lectures. Thank you. Just wanted to point out that JPEG used DCT, but close enough in this situation I suppose. Glad they went to wavelet. It almost seems like magic to me. That and error diffusion.

[Rekns]

Thank you!
I`ve been reading scientific papers on the application of the Wavelet Transform for neural spike sorting, and this video made It all come together.

[georgeimmanuel]

best lecture in the world on wavelet analysis.

[firmrobot]

I guess there is a small error in 6:33. Bigger "a" will actually make psi function wider and smaller in amplitude. The analogy with Gaussian function would be its standard deviation, which is placed in the denominator of negative exponent. Great lectures otherwise. Thanks for your work!

[s.l]

Thank you for this, always wanted to know more about wavelets!

[sheffielddu]

this is a fantasitic lecture. you vividly clearify what is wavelet from perspectives both of math and human sense

[ThatHippyPerson]

A clear and direct approach to make sense of the idea. Thankyou

[arpsami]

very very new to all this wavelet stuff, but I could get a very good basic idea of it. plus your English was very clear and easy to understand for me, a non-English speaking

[hoaxuan]

The intermediate calculations of the Hadamard transform are very wavelet like. You can pick the one with highest magnitude, remove it, and make consistent all the calculations. And repeat. In such a way you can make quite a good compression algorithm. The FFT can be your friend that way too I suppose.

[ahmetkoraysonal]

Steve .You are a legend teacher. ı havent seen before as you.Thank you very very much this expilaniton

[luli]

thank you much. I was so confused about this theory. After your Video I can finally understand well. Thank you

[erickappel]

You have the gift to teach complicated stuff effectively!
Question:
Do you have a good source for the inverse wavelet transformation?