Hi!!
I have this transfer function, where k,C and R are unknown:

                             (RCk/2)s
T(s)= ---------------------------------------------------
            [(R^2*C^2)/2] s^2 + [RC(5-k)/2] s + 1

I have to get the values of k, C and R in order to get a band-pass filter with:
-Central frecuency: 10kHz
-Quality Factor: Q=10

I know that the normalized transfer function is:

I can use also:
10KHz=1/(2*pi*R*C)

But how can I get the other two equations? I don't know how to denormalize F(s)...

Thanks!!

 

hi Aitor.
Welcome to AAC
Is this a College/Homework assignment.?
E

 

hi Aitor.
Welcome to AAC
Is this a College/Homework assignment.?
E

It is a past exam exercise

 

For example this would work, I think:
F=tf([1/Q 0]/10000,[0.00000001 1/(Q*10000) 1])
where 0.00000001 is 1/f*2 and 10000 is f.
but I got it guessing. I would like to learn how to do it from a mathematical perspective.

 

Let me suggest 4 resources, roughly in the order I would recommend:

1) https://www.academia.edu/15449434/Design_of_Analog_Filters_Rolf_Schaumann_Mac_E_Van_Valkenburg
2) http://www.analog.com/designtools/en/filterwizard/
3) http://www.ti.com/general/docs/litabsmultiplefilelist.tsp?literatureNumber=sloa093
4) http://www.ti.com/analog/docs/litab...yMatch=sbfa001c&tisearch=Search-EN-Everything

Presumably, this is schoolwork and link #1 about is quite valuable.

 

Thanks! The first one has all the information I need