Probably the most accurate and intuitive explanation I've ever heard. I studied signals theory at the university many years ago and now your videos are a perfect tool for both refreshing my "rusty" memory and learning new details.
Sorry, I'm not too sure what you're asking. Clearly it requires analysis of the Fourier Transform, which in turn requires complex algebra, calculus, etc.
@@iain_explains Sorry let me rephrase it this way : To which branch of mathematics does this gibss phenomenon belong to ? Personally I feel that it is more closer to physic than to math
@@tuongnguyen9391 I'm studying it in my Fourier analysis course :) This video doesn't do an extensive covering of the formal mathematics behind it, but it is a "special" branch of mathematics, which has a lot of applications, which is why it is so close to physics
When you're explaining the gibbs phenomenon on the right, you are convolving the square pulse with the sinc pulse. What is the reason for doing this? It seems as if a pulse is made up of many time shifted sinc pulses. Or is it when you apply the filter -W and W on X(f), you are multiplying which means you are convolving in the time domain?
The video detailed truncation in frequency domain causes ripples in time domain , what if we truncated the time domain , shall we have ripples at the frequency domain ? How is windowing used to remedy the gipps phenomenon ?
Yes, good observation. The Fourier transform and the inverse Fourier transform are almost identical, so the duality will hold. You may be interested to watch: "Fourier Trfm and Inv FT: What's the difference?" ua-cam.com/video/N8RV6WT4sTY/v-deo.html The conventional way to treat the Gibbs phenomenon is either to introduce a transition between the passband and stopband or to apply a window to taper the waveform to zero or near zero at its ends. See the following paper for more details: C. Pan, "Gibbs phenomenon removal and digital filtering directly through the fast Fourier transform," available from: www.researchgate.net/publication/3317921_Gibbs_phenomenon_removal_and_digital_filtering_directly_through_the_fast_Fourier_transform
Hello sir can you explain Spatial Modulation(SM),SSK and QSM. And how are the effect of different fading channels(Rayleigh, Rician fading etc.). Also detection methods like ML and MRC.
Hey! Great video, you managed to explain the matter simply and clearly. It helped me get a better grasp on the topic, thank you :) You say that our sinc peak depends of the bandwidth, 2W. But, I don't really understand why that dependency exists in the first place. I thought that the sinc function is simply that: a sinc function. Could you maybe clear that up, or point me to another resource? I'd really appreciate it!
The Fourier Transform playlist. Although maybe I should think about dividing that one up a bit. It's got 18 videos in the list, which might be too many for one topic.
Probably the most accurate and intuitive explanation I've ever heard. I studied signals theory at the university many years ago and now your videos are a perfect tool for both refreshing my "rusty" memory and learning new details.
That's great to hear. I'm glad you like the videos.
Brilliant, not just explaining what the Gibb's phenomenon is, but also how it affects a signal. Thank you!
Glad it was helpful.
Really great explanations, thankyou again.
Glad you like them!
you did it sir!! it helps me to understand how windowing also affect the spectrum thank you very much keep it up sir!!!
I'm so glad it helped.
Excellent explanation - thanks.
Glad it was helpful!
really clear , it helps a lot, thanks.
Glad it helped!
How do we get ride of the overshoot?
Your videos are so lovely.
Glad you like them!
Your videos have become painful to watch; they make me realise how much time I wasted trying to learn the same things from other resources :)
I'm glad they're helping you to save time.
what would be the appropriate mathmatical tools for study and modeling of gibbs phenomenon ?
Sorry, I'm not too sure what you're asking. Clearly it requires analysis of the Fourier Transform, which in turn requires complex algebra, calculus, etc.
@@iain_explains Sorry let me rephrase it this way : To which branch of mathematics does this gibss phenomenon belong to ? Personally I feel that it is more closer to physic than to math
@@tuongnguyen9391 I'm studying it in my Fourier analysis course :) This video doesn't do an extensive covering of the formal mathematics behind it, but it is a "special" branch of mathematics, which has a lot of applications, which is why it is so close to physics
@@littlehuman7028 Thank you little human
@@tuongnguyen9391 Welcome! ^-^
When you're explaining the gibbs phenomenon on the right, you are convolving the square pulse with the sinc pulse. What is the reason for doing this? It seems as if a pulse is made up of many time shifted sinc pulses.
Or is it when you apply the filter -W and W on X(f), you are multiplying which means you are convolving in the time domain?
Ah, I think you explained at 1:23.
Great. I'm glad you found the answer.
The video detailed truncation in frequency domain causes ripples in time domain , what if we truncated the time domain , shall we have ripples at the frequency domain ?
How is windowing used to remedy the gipps phenomenon ?
Yes, good observation. The Fourier transform and the inverse Fourier transform are almost identical, so the duality will hold. You may be interested to watch: "Fourier Trfm and Inv FT: What's the difference?" ua-cam.com/video/N8RV6WT4sTY/v-deo.html
The conventional way to treat the Gibbs phenomenon is either to introduce a transition between the passband and stopband or to apply a window to taper the waveform to zero or near zero at its ends. See the following paper for more details: C. Pan, "Gibbs phenomenon removal and digital filtering directly through the fast Fourier transform," available from: www.researchgate.net/publication/3317921_Gibbs_phenomenon_removal_and_digital_filtering_directly_through_the_fast_Fourier_transform
Could you show the effect of using a Cubed Sinc window function?
Hello sir can you explain Spatial Modulation(SM),SSK and QSM. And how are the effect of different fading channels(Rayleigh, Rician fading etc.). Also detection methods like ML and MRC.
Most of the topics you've asked about are covered in videos that are already on my channel. For a full list of videos, check out: iaincollings.com
@@iain_explains Thank you for your reply sir. Your videos are very helpfull to understand the wireless technology.
Hey! Great video, you managed to explain the matter simply and clearly. It helped me get a better grasp on the topic, thank you :) You say that our sinc peak depends of the bandwidth, 2W. But, I don't really understand why that dependency exists in the first place. I thought that the sinc function is simply that: a sinc function. Could you maybe clear that up, or point me to another resource? I'd really appreciate it!
Oh, they're dependent because of their domains, now I get it
Great, I'm glad it makes sense, and I'm glad you like the video.
thank you 😀😀
You're welcome!
Hi Ian. In which of your playlists is this going to be?
The Fourier Transform playlist. Although maybe I should think about dividing that one up a bit. It's got 18 videos in the list, which might be too many for one topic.
Thanks a lot sir👍
Most welcome