I'm repairing some instrumentation equipment and I've come across a filter I do not fully understand. It seems to be a band pass filter and the only documentation that came with this device was an old handwritten note on the filter break frequencies and gain. I have copied this as neatly as I can and attached it below.
As you can see, there is no transfer function derivation, and only a graph showing which components set gains and break frequencies. I have simulated this in Spice and it seems to really obey those equations.
As I have not come across this type of filter before I set out to understand it better by deriving the transfer function and those equations as shown on the graph above myself.
I (believe) I have managed to derive the TF (attached below) but now I'm stuck on how to proceed and derive the equations as shown on the graph above.
My question is how to proceed with deriving the filter gains and break frequencies? Any tool I can use to help me? Does anyone know what topology/kind of filter this would be classified as? I have not found anything on the Internet of this topology but maybe my search terms are wrong.