I want to dynamically calculate the coefficients and set the frequency of a general filter, in this case Bandpass Filter with a VERY small bandwidth value (0.01). The problem I'm having is that I would like the output at the chosen frequency to be 0 dB. As you can see on the screenshots, the output gain changes with the frequency in periodic way (seemingly).
My idea was that if I could determine a function that takes the frequency and outputs a scale-factor which to multiply the gain parameter that is used to calulate gainLinear = 10 ^ (gain/20). This in order to always have the ouput to be 0 no matter the frequency like in fig 2 & fig 4.
Figure 4 shows an example of a wanted result, where input f0 = 800, a gain value of 4.5 is generated and the output is ~ 0.
I'm using the bandpass equation defined in: https://wiki.analog.com/resources/tools-software/sigmastudio/toolbox/filters/general2ndorder
Any help or ideas is highly appreciated.
f0 = 800, gain = 0
f0 = 804, gain = 0
f0 = 816, gain = 0
f0 = 800, gain = 4.5