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Basic FAQ for FFT Analyzer

Question number FAQ-0781

What do the dB values on the vertical axis (Y-axis) of the power spectrum represent?

dB (decibel) is defined as ten times the logarithm of the ratio to the reference value of a physical quantity, and is usually a relative value. However, the dB value of the power spectrum is measured in V when the physical quantity does not calibration 2 Therefore, 1 V 2 (RMS squared) as the reference value dBV is displayed as the absolute unit. In other words, the power spectrum of a certain frequency is x2 If so, the dB value is:

 

(1)
is required. Conversely, when the power spectrum value is set to y (dBV), the linear spectrum x is;

(2)

 

Table 1 shows examples of numerical values for the linear spectrum x (V) and power spectrum y (dBV).


Table 1: Specific numerical examples of power spectrum and linear spectrum.

Power spectrum (V 2) Power Spectrum (dBV) Linear Spectrum (V)
0.0001 -40 0.01
0.01 -20 0.1
0.5 -3.01 0.707
10 10 3.16
100 20 10

 

(Note) The power spectrum is the square mean value (RMS), so it is sometimes displayed in a more understandable unit, dBVr.

 

Last updated: November 16, 2009