1. The problem statement, all variables and given/known data 2. Relevant equations 3. The attempt at a solution To be perfectly honest I have not attempted a solution thus far, my knowledge of the fourier transform is quite limited at the moment. I understand that I can use the above equation but what I want to know is if I can compute the transform for each step and then add them all together to create the final transform? TLDR: Can i add the transform of each step to form the final transform?