What the Three Words Mean
June 25, 2019
Each of the three words in power spectral density represents an essential component of the analysis.
- Power refers to the magnitude of the PSD, which is the mean-square value of the signal being analyzed. It does not refer to the physical quantity of “power” (as in watts or horsepower). As power is proportional to the mean-square value of some quantity (such as the square of current or voltage in an electrical circuit), the mean-square value of any quantity has become known as the power of that quantity.
- Spectral refers to the PSD’s function of frequency. Just as a rainbow represents the distribution of light over a spectrum of wavelengths, PSD represents the distribution of a signal over a spectrum of frequencies. The next lesson goes into more detail on how a signal is converted from the time domain into the frequency domain during the PSD calculation.
- Density refers to the magnitude of the PSD normalized to a single hertz bandwidth. For example, if a signal measures acceleration in units G, the PSD has a unit of G2/Hz.
As the name “power spectral density” does not include the quantity being measured, the word “power” is sometimes replaced by the name of the quantity being measured. For example, the PSD of an acceleration signal is sometimes referred to as the acceleration spectral density.