Start with the basic low pass filter design with known cutoff frequency
Perform magnitude scaling and frequency scaling to obtain Element values closer to real world values and the desired cutoff frequency
wc = 1/(RfCf)
You can pick values to give you the correct wc, them magnitude scale
Or you can pick values so wc = 1. Then frequency scale and magnitude scale
Start with the basic low pass filter design with known cutoff frequency
Perform magnitude scaling and frequency scaling to obtain Element values closer to real world values and the desired cutoff frequency
wc = 1/(RfCf)
You can pick values to give you the correct wc, them magnitude scale
Or you can pick values so wc = 1. Then frequency scale and magnitude scale
Designing a band-pass filter means putting the correct low-pass filter and high pass filter in series
Design the low-pass filter
Design the high pass filter
Put them in series
The low pass sets the the upper corner frequency w2
The high pass sets the lower corner frequency w1
the inverter provides the gain
Designing a band-pass filter means summing the correct low-pass filter and high-pass filter.
Design the low-pass filter
Design the high pass filter
Sum the outputs together
The low pass sets the the upper corner frequency w1
The high pass sets the lower corner frequency w2
The summing amp can provide gain