I was not able to open the MS Word DOC attached to your post, so I am not exactly clear what your dataset looks like. When you say you have an oscillating input that is an impulse, do you mean that the waveform contains discrete jumps? If so how would you like to smooth the waveform?
Can you please post two graphs, or two sets of datapoints which describe your input and output? By looking at exactly how a specific input should be translated to a specific output we should be able to give you a much more specific answer.