From a patient we received a periodic wave representing the blood flow (measured in kg/h) over time. The data containing respectively the time in seconds and the corresponding blood flow values in kg/h per time point is found below:
The plot of this data looks as follows:
The problem is the next:
We need a fourier transform performed on the wave shown in the graph. So that signal has to be decomposed into a superposition of sine waves. This way we can really closely mimic the data and it makes it more repeatable. So I need the function containing the superposition of sine waves with each its own amplitude and fase shift. I need a clear scientific answer containing all the in between steps so we can use it in the research. I need it up till the 4th order if that is possible.
So when I receive the superposition and let it run over time it gives me the exact representation of the file provided above. If anything is not clear let me know.