Power

Averaging power spectrum from multiple signal of different length

Averaging power spectrum from multiple signal of different length
  1. How do you calculate the power spectrum of a signal?
  2. How do you calculate power spectrum from FFT?
  3. How do you compare two power spectral density?
  4. What is the difference between power spectrum and power spectral density?

How do you calculate the power spectrum of a signal?

Power spectrum (PS) of biological time series (of an electroencephalogram recording, for instance) often shows a relationship of decreasing power as a function of frequency (f) according to the general equation: PS(f) = ψ × f-α (Norena et al., 2010).

How do you calculate power spectrum from FFT?

To get the PSD from your FFT values, square each FFT value and divide by 2 times the frequency spacing on your x axis.

How do you compare two power spectral density?

You can test it by summing all the absolutes differences between the two power spectra subtracted bin by bin, or you can compare the differences between the spectral content in suitable bands, or evaluating mean values, or frequency slopes in special ranges of frequencioes, and so on.

What is the difference between power spectrum and power spectral density?

These two terms are used interchangeably throughout the signal processing and mathematics communities; at a conceptual level, there is no difference between these two terms. The two terms both describe how the intensity of a time-varying signal is distributed in the frequency domain.

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