Tuesday, April 24, 2018

fft - How to combine bins of my DFT


I have a time series and apply the FFT to get a spectrum.


Let's assume that my sampling frequency and the length of the time sample are chosen such that I end up with a Δf=0.1 Hz.


As this is still rather noisy, I'd like to change Δf to 0.5 Hz a posteriori.


How do I combine the fourier components of the adjacent bins? Am I right to just sum them? Or do I take the square root of the sum of squares? Is there a term for what I am trying to achieve, so that I can find some references on my own?




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