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Bilinear Transform Explained - Signal Processing #14

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The bilinear transform is a method of converting an analog filter into a digital filter. It is often confusing and the reasoning behind it is not understood. This video attempts to explain the bilinear transform simply.
Further readings:
Eulers Formula
betterexplained.com/articles/...
Taylor Series Approximation
en.wikipedia.org/wiki/Taylor_...

Опубликовано:

12 янв 2017

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Комментарии : 20

@CasperBHansen 6 лет назад

This was a really great way to explain the bilinear transform quick and easily understandable!

@TutorialsWithGary 6 лет назад

+Casper B. Hansen I'm glad it has helped.

@mihailoplavsic199 3 года назад

Great job dude! I loved this video, I will be watching your career with grat interest!

@vobulate 7 лет назад

Excellent video, really clear explanation of the bilinear transform.

@TutorialsWithGary 7 лет назад

+Vincent O Brien Thanks! :)

@betting55555 3 года назад

really well explained, thanks!

@ragibqasimi304 6 лет назад

Nice video Luke. Thumps uP!!!

@TutorialsWithGary 6 лет назад

+ragib qasimi Thanks, I'm glad it helped :)

@ragibqasimi304 6 лет назад

+Luke Berry can u plz help me solve this.. How to transform a root at z=a (a

@TutorialsWithGary 6 лет назад

ragib qasimi hey sorry mate, I might make a related example video but won't solve specific requests because they may be homework / part of an assignment :)

@ragibqasimi304 6 лет назад

+Luke Berry i am waiting for the nxt video then... thnk u

@sukursukur3617 4 года назад

Can we draw sinx function on x^2 curve or generally on any curve?

@rishikantamangang 6 лет назад

great

@liamrichardson2352 6 лет назад

thank you for the video ! but i don't understand why in the last part "S=jWa" and not "S=Re(S) + jWa)" :/

@muhammadbilalyounis9133 5 лет назад

Can you please explain warping?I am little bit confused Thank you

@davidbabic6121 3 года назад

Can someone explain minute 3? how is 0 + 2j mappd to the left top corner of unit circle?

@THE7EPIC7PUPPY 3 года назад

From what I understand, the point on the s-plane s = 0+j2 is inserted into the relation z = e^(a+jw)T where a = 0, w = 2, and T = 1. Since that point is only on the imaginary axis of the s-plane, the radius value on the z-plane =1. Therefore z = 1*e^jw where w = 2 in radians which is equal to ~115 deg aka the top left of the unit circle.