For the calibration of an optical tweezer, the PSD of position values are plotted. If it follows a certain behavior having two regions - free diffusion and potential limited regions, then the trap is considered working fine.
I read that PSD=|DFT(X)|2/Tm where X is the signal, Tm is the time over which measurement is made, and DFT means the discrete Fourier transform.,
In the above equation, why do we have time of measurement in the denominator? Does the value of |DFT(X)|2 increase with Tm? If so, to make PSD independent of time variable are we doing the same?
What is the density in PSD? What information do we get from PSD given in V2/Hz?
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