I want to add two "parallel" functions. Each of them describes the frequency response of that individual filter. Put in other words, I want to see what the frequency response looks like when the two parallel filters are summed together.
Filter 1 is f(x) and filter 2 is g(x). So I go f(x)+g(x) must = the frequency response of the filters in parallel. No. Ofcourse not. Instead I get the frequency response of the filters added together like they were in series. Which they are, according to the math. Is there a solution for calculating (and graphing) filters that are in parallel?
I must be looking at the problem in a completely wrong way. The solution feels obvious and simple, yet, I cannot find it.