Pass band gain of a low pass butterworth filter.

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srutisahoo

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butterworth filter gain

Why the pass band gain of a low pass/High pass butterworth filter is 1.586?
 

pass band gain

Where did you get that value?

Filter gain depends on your circuit. In a passive filter, you'll get a 0dB gain. In an active filter, hain will depend on circuit configuration.
 

Where did you get that value?

I got this value from Ramakanta A. gayak ward book .it is written that in a low pass first order butter worth filter Af=1.586 so Rf=0.586R1. where Rf is the feedback resistor. it is always constant. can u plz help me why this value is always constant???
 

Re: Where did you get that value?

You sre wrong
 

srutisahoo,
I dont have the Ramakanta A. gayak ward book, so I can't answer your specific question without seeing the circuit. However, in general, you can get any gain you want at a given frequency with an active filter, assuming that the open loop gain of the op-amp is considerably higher than the desired closed loop gain.
Regards,
Kral
 

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