Complex Fourier Series

[ktan]

You Sir, explain in minutes what my professor would do in hours

[enersha]

very impressive handwriting, most professors lack this basic skill, 12/10

[kyrinky]

What a beautiful and simple explanation to this concept. I feel so lucky to be able to watch this as I am taking a Signals and Systems class, and we were just given the formula with no derivation. I am amazed. Thank you!

[TuneCX]

I think that gathering together c_n and c_-n under one sum was not explained. If I remember correctly, its due to cos & sine being even and odd functions, resulting in a_-n = a_n and b_-n = -b_n, so they can be also gathered with exp.

[zacharycardenas]

You did it. You finally broke it through to me how intuitive complex fourier series and transform is. Thank you so much

[Arkantosi]

Not only are you a great mathematican, but your way of explaining and your pedagogical skills are truely remarkable. Not many good mathematicans possess these qualities.

[alexsinek]

Finally a concise way that explains the transition from the trigonometric to the exponential depiction of FS. Thanks, in particular for the clear explaination of how to connect the two sums together!

[mohamedselim]

this is letterally a golden 15 mins thank you

[volkerblock]

you are a sales rep for complex Fourier series! I wish to use it.

[SalvatoreIndelicato]

As physics that studies applications starting from quantum mechanics, they are enthusiastic about this clear and convincing explanation

[ahmetbaspnar]

We define Cn=(An-iBn)/2 and C-n=(An+iBn)/2 that's Okey we suppose n=0 C0=(A0-iBn)/2 and C0=(A0+iBn)/2 so C0= A0/2 but you define C0=A0 how can is it possible

[gabip]

Great explanation! It's nice to see a prof that's passionate about what he is doing!

[jaimelima]

Another big advantage is that they look just polynomials. Just let x=exp(i*alpha)… Power series as the professor said but stressing the fact that now we have complex polynomials.

[강승현-qs]

thank you for deep learning from south korea

[AkamiChannel]

Sounds like they used two microphones and combined them, so u get a chorus/echo effect. Slightly distracting.

[AZskies]

you are verbose, beauty you tied to simplicity and then again listed simplicity. Choose one they are not mutually exclusive per your explanation...

[abdinasirmohammed]

Unclear, unreadable only English is perfectly 🥰 💞 that is better than hindian teachers

[adarshkishore]

Thank you sir! This is the first time I've seen the Fourier Series explained so intuitively.

[neloyghosh]

Most beautiful explanation love from India❤️

[zacharycardenas]

Wow this is impressive. I could only wish that the professors at my school could get the point across this well.