I have a series of pulses (pulse train). I measure the time units between these pulses and log it.
Now I'm doing FFT over these time units (series of numbers: 3000,3050,3020...)
Is there a difference between the fft over these series of numbers and fft over the pulse train? (like in all educational books - FFT over pulse train)
I think the FFT will be different, but I can't figure out why.
It will take me forever to explain.
It really doesn't matter, so forgive me.... For my system it does has a meaning.
These are 2 approaches to the problem and I'm wondering if the result will be the same.
One is vector of the differences between the pulses - FFT over it.
The other - FFT over the pulse train.
If data set is random or non constant distributed set , one is not same . Much algorithm be appplied to extract some feature before the decision concluded. Ex. Geometrics method , High level supervise then scan data set and so on.