Measuring Power Spectral Analysis in dBvolts vs Frequency: Tips and Techniques

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To measure the area under the curve in a power spectral analysis of dBvolts versus frequency, one can utilize the width at half height (FWHM) of the spectral peak. By representing the peak with a functional form such as Gaussian or Lorentzian, the relationship between FWHM and the area can be derived through analytical or semi-numerical methods. This approach assumes that the curve's shape is determined solely by the FWHM parameter. However, accuracy may be limited unless the spectrum closely aligns with the chosen analytical model. A more straightforward method is to numerically integrate the actual spectrum for precise results.
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when looking at a power spectral analysis dBvolts vs frequency (Hz), how can you measure the area under the curve of a specific frequency range using the width at half height? any ideas?
 
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If you represent the spectral peak as some functional form (Gaussian, Loretnz, etc.), you could probably analytically (or semi-numerically) work out a connection between FWHM and area under curve for a specified frequency range. This wold be true if the parameterization fixed the shape of the curve given just the parameter FWHM. Then, the area is obtained by integrating this curve over desired frequency range. Of course, this will not be very accurate in general (unless your spectrum is well modeled by the analytical form). Else, you could use a sum of Gaussians, and do a fit. Easier to just numerically integrate your actual spectrum.
 
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