2. Understanding Fourier Transform, Theory + Derivation.

[@coolwinder]

3:25 Extending the Period 6:45 Approaching Non-Periodicity 10:25 Non-Periodic Signal 14:55 Synthesis 17:38 Inverse Fourier Transform 21:00 Finding signal value for t=0, as the area under the an frequency component curve 25:15 Property of the Laplace Transform

[@Amine-gz7gq]

25:15 it's not laplace, he talks about time delay (shifting the function so we can can have f(t0)). Time delay is used in control systems (hence laplace), I think your confusion came from there.

[@MaxAravind]

Thanks a lot Ahmed! You helped me understand this topic really well. I mean, out of all those lectures out there, none has talked about the motivations behind the concept. Hope you do a similar video on Laplace transform.

[@Amine-gz7gq]

the part starting at 19:00 is gold ! but I would have liked him to talk about the interactions of sine (odd function) and sine+cosine (even/odd mixture) with the f(t) function, as he did in another video.

[@thienphucho6616]

Thank you Ahmed, it is important to understand deeply about the concept and you demonstrated very well

[@gowthamsundarrajan5688]

This is superb! I had no idea a document video could look this good.

[@aniljo7321]

great explanation: can you bless us with more of the concepts in electronics please

[@amine8046]

Ahmed, you are awesome. your explanation is really easy to understand. I wish you produce more videos. Thank you a lot.

[@g.viswateja7685]

hai sir I owe a debt of gratitude for your clear explainations thanks a a a a a a a lot

[@konradmtb]

Thank you for that. Really well explained - just have to pay attention to details

[@MrRawnik]

thanks ahmed, you explained it very well.

[@horselover8495]

wonderful lecture, you explained really well.

[@briancrist9285]

Thanks Ahmed! This video is very, very helpful.

[@huizhang4177]

Well done job, with a lot of inspiration!

[@shobhitkhajuria7464]

wonderful,just explain the scaling thing again! inverse equation is correct but what about the forward equation.is it like compensating? o yes i think it is. amazing lecture.keep the good work up.would love to see videos on taylor analysis too and cauchy criterion for sequences and series.

[@ec4662]

Good explaintition dude hope to you the best

[@comettwhoreallyknows1635]

At 18:30 I understand why there would only be the real component. Can you do an example with an imaginary component as well? How would that work out at all? And how would it work with the inverse fourier transform?

[@bernhardriemann3821]

As far as what I have understood from complex form of fourier series the real part of complex form of fourier series (Cn) gives the frequency component of cosine present in the periodic function and complex part gives the frequency component of sine, but the same is not true for fourier transform but rather the frequency component is found by taking fourier transform's magnitude and also what does the argument of the complex function obtained by taking fourier's transform tell us? if anyone knows this, please tell me, I would really like to know

[@medoadel24]

EXCELLENT!

[@MS-cj8uw]

sir .....I appreciate you ....thank you

[@xiaoyaziy1595]

in the end of this lecture,the Fourier Transform result of f(t-t0) is F(ω)·e^(-jωt0), NOT F(ω)·e^(+jωt0), ω=2πf，from Table of Fourier Transform Pairs

[@coolwinder]

Thanks!

[@MorisThorne]

I think the inverse transform formula at 24:56 should be ended with df not dt. very informative video, though. Big thanks.

[@slmanelfarc]

i was very helpful hope to see la place transform

[@LeeSugu]

great explanation!

[@salvapois]

really good job...

[@sujithrao7974]

Absolutely Amazing! Ahmed is it possible to do a video on the Gauss function , Uniqueness theorem and bessels inequality??

[@saadwasmi8138]

Hi Thank you for this lecture

[@universalmotionYT]

so powerful ...visualization !!!!

[@zahidhasan6990]

Doesn't the total area of F{f(t-to)} gives the value of x(-to)?? though in this case you are right since you are dealing with cos function. Btw it was a great one.

[@muhabah81]

So great and so much thanks

[@aniljo7321]

Ahmed are you there??.... Please do post more videos

[@shaantanukulkarni5668]

very nice

[@ashhadkhan1871]

Dear Sir, I do not understand the scaling. How are you supposing that the Fourier spectrum gives the magnitude of sinusoidal signal? 1) We have negative frequencies and secondly what about the Tp(fundamental period going to infinity) it should be part of the amplitude if use the fourier series ideology. Also the magnitude does not contain any information about the phase? So how can we recover the original message just using the amplitude spectrum? Thankyou, please reply

[@nagendrapadidela4114]

in some text books authors giving 1/root 2 before the FT formulae.can you please tell me why they mentioned?

[@AhmedIsam]

They must be using dw instead of df. In that case, you get a conversion constant of 2*pi as w=2*pi*f. Now it is up to you where to put the constant. You can account for it in the forward transform, or in the inverse. Some people prefer to do it in two stages, 1/root(2) in the forward, and one more in the inverse. So that's like 1/2 in total. It is not a big deal. Hope this helped.

[@coolwinder]

Perfect again.

[@simonetruglia]

You are just wow man!

[@hoopschwitz]

Ahmet thanks a lot, helped me a lot. How about a vide o on DFT, STFT and so on :)

[@AhmedIsam]

I will and I am looking forward to do it and I have TONS of ideas explaining DFT and other FTransforms in new ways never presented before.. but right now situation in Mosul/Iraq is not helping at all.

[@hoopschwitz]

Dear Ahmed, Things that are happenning now in Iraq are very much affecting us in Turkey as well. I hope everything will get soon better in the whole region for everyone. best regards, Inan.

[@universalmotionYT]

extraordinary!!! video

[@alemkelo3240]

maybe a stupid question, but how do you get from f(t) = integral F(f) e^jft2pi df and the reciprocal, to the pair which is often given, F(x) = 1/sqrt(2pi).integral G(k) e^jkx df and the reciprocal?

[@alemkelo3240]

*dk in the last one

[@alemkelo3240]

i guess it's just a variable substitution but I can't do it right

[@alemkelo3240]

it's alright I've done it now

[@narimench1003]

you are the best , thank youuuuuu

[@rashsdawood]

thanks . God bless you .. very informative

[@AhmedHesham]

I don`t know who at 21:11 you said f(0)=Area under curve?!

[@bocckoka]

Ahmed Hesham just insert 0 instead of omega in the def of the Fourier integral and see that it gives you the improprius integral of f(t). so the value of the Fourier transform at 0 is in fact the the area under the curve.

[@worthwatching7720]

hey ahmed .. can you tell me the name of pen that you are using .. i want to buy it

[@robertschumann6977]

Please, what is the name of your pen? Xd you would do us a big favor

[@faisalpervez3429]

Ok

[@esc532]

Sorry, I don't understand nothing..