I have a large data set that was collected by a 5 GHz oscilloscope, so I basically have an array of voltages with each index being a very small time step apart. I am looking for a specific signal in this data set that would only be present for a very small time frame and so most of the data will not contain this signal. The issue is that the signal I am looking for has an amplitude less than or equal to that of the background noise. The signal should also be a fairly wideband.
My question starts then with how to find this signal? My first thoughts are there must be something I can do to take advantage of the fact that my noise and signal probably follow different distributions, but I am not sure.
I know this is a fairly open-ended question so I am just looking for suggestions into general methodologies that help uncover a signal that is not consistent with background noise, but of the same or lesser amplitude.