SNR for Coherent and Non-Coherent Filtering

A number of rules of thumb exist for the advantages of non-coherent averaging, I wanted to see, in a fairly practical way, what the advantage really was. This turned out to be more complex than I thought, because you have to identify and implement separate parts to the equations for the output noise. This file generates the input SNR, the Output SNR with no filtering, with coherent filtering, and with non-coherent filtering. I have added extensive notes to document my ignorance.