A Visual Introduction to Scattering Parameters
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- Опубліковано 27 вер 2024
- This video covers the fundamental theory surrounding S-Parameters, and their applications to RF networks.
Chapters:
0:00 - Introduction
0:34 - What is a 'Network'?
1:52 - Power Waves
2:30 - Complex Impedance & Phase Angle
3:06 - S-Matrix & S-Parameters
4:19 - Reflection & Transmission Coefficients
6:03 - Standing Waves
7:00 - Example Networks
12:25 - Designating S-Parameters
13:01 - Reciprocity & Losslessness
13:42 - Reflection Coefficient and VSWR
14:28 - Conclusion
(Note: At 4:07, Sij is equal to (Vi-/Vj+) * sqrt(Zj)/sqrt(Zi), but because we've assumed an equal impedance for all ports, it has been simplified to Vi-/Vj+.)
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The source code used to generate this video can be found on the GitHub repository: github.com/0xC...
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Special thanks to Athanasios Kanatas, Dimitrios Rongas, Leonidas Marantis, and Cameron Van Eck for their thorough guidance and consistent support.
Please come back! You are the best!
I can never remember which subscript is input and which is output. Thanks for making this and please make more!
Great explanation, thanks. If you could also show visually what it looks like in a smith diagram that would be awesome.
man just made the best quality high educational video ever and then quit the platform
Ευχαριστούμε πατριώτες, πολύ καλή εξήγηση των παράμετρων σκέδασης!
Love to see a smith chart video. This was a really good video.
This video was absolutely beautiful 😮💨
That is one great explanatory video. Why no more?
Thanks for the awesome work!, I wish if you can talk about balanced/Mixed-mode S-parameters in another video 🙂
Thank you for this video, it's very nice.
amazingly made video.
This video is amazing thank you🙏
I actually really like the background music! Its similar to Grants videos. You are using Grants python library for these simulations, correct?
Yes, called Manim.
Wow damn great videos please make more!! Εξερετική δουλεία παιδιά Μπράβο
An important point to understand about scattering parameters is that the reflection coefficient looking into port n is not equal to Snn unless all other ports are matched. Similarly, the transmission coefficient from port m to port n is not equal to Snm unless all other ports are matched. -- Pozar
I tried to note this assumption in the description.
The best in video parameters s
excellent video
What is a power wave?
Hi, thanks for the video. At 1:57, why is the voltage divided by 2 to give ai?
Apologies for the late reply - for a more detailed derivation of the power wave equations, I'd refer you to: Kurokawa, K., "Power Waves and the Scattering Matrix", IEEE Trans. Micr. Theory & Tech., Mar. 1965, pp. 194-202 (if you haven't got access, please let me know)
As well as the following document: ntrs.nasa.gov/api/citations/20000056853/downloads/20000056853.pdf
@@OpenEngineeringRF Thanks for the info!
Fantastic video, please get rid of the music as it is so distracting.
Will avoid background music next time, thanks!
Nice video, except the music.
The video is good, but the music is unnecessary and annoying.
This was a fantastic breakdown on S-parameters. Thank you for producing it!
Congratulations on a very good instructional video. I will make one comment...
At 13:00 you stated that S11 "corresponds" to Return Loss and VSWR, and you expand on the relationship with VSWR but you leave Return Loss hanging. More specifically, the relationship is with |S11|, and Return Loss = -|S11| where both are expressed in dB. The - sign is often omitted, a common error, very common in ham radio. You might consider adding a 'slide' to expand Return Loss (correctly).
Well done to all involved.
Thanks for your comment! You are correct that, strictly speaking, RL = -|S11| (and you can find lots of datasheets and other resources where return loss is 'misleadingly' provided as a negative value, but unfortunately this has become a bit of a convention to some, so I didn't want to introduce a lot of confusion by giving an algebraic relation between the RL and |S11|). This is why 'corresponds to' was used instead of 'is equal to'. The reason I expanded on the relationship between |S11| and VSWR is because it is less obvious how these two quantities are mathematically related. In any case though, perhaps the "Loss (≤ 0 dB)" note may serve as a reminder that it doesn't make sense for return *loss* to be negative. :)
@@OpenEngineeringRF Much kudos for a "well done" by Owen Duffy, he is a legend.
You opened my eyes. Thank you!
Great video, thank you. Please continue to do more. I notice its been a year and just one video, don't stop, this is great video and great production, continue and you will get many more views and subs.
Thanks. Maybe tone down the music just a wee bit.
bro did the best video ever and stopped theire
Excellent summary on S-parameters. Thanks a million!
PLEASE MAKE MORE AMAZING CONTENT
This video is solid gold nugget
Thank you for this
Very well explained and I'm down with the jazz. My only critique is that you used 'reciprocal' several times before actually defining in terms of the symmetry of the S matrix. It would have been better to make that connection before the example.
Thanks for the feedback, I think you raised a good point. I tried to keep the mentions of reciprocity as minor comments to expand on what we'd expect to see in the plots, but it might indeed have been a better idea to introduce that section first, as the meaning of 'reciprocity' might not have been obvious to newcomers.
fantastic! :D
Awesome