Fourier Transform Solution

Thread Starter

kaan_45

Joined Apr 8, 2017
5
I can't understand that transition from the solution. Can you help me? How the solution got 1/(B-a) and how is the multiplication removed of the Y(f).

 

MrAl

Joined Jun 17, 2014
6,611
I can't understand that transition from the solution. Can you help me? How the solution got 1/(B-a) and how is the multiplication removed of the Y(f).

Hello there,

That lower result is a partial fraction decomposition of the upper expression.
If you replace j*2*pi*f with just a single variable 's' it makes it a little more clear as then you start with:
[1/(a+s)]*[1/(b+s)]

Try to do a partial fraction decomposition on that and see the result you want pop out :)
Then just replace 's' with the previous j*2*pi*f and you're done.
 
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