Spectral centroid

The center wavelength is to characterize a measure to a frequency spectrum and is used in digital signal processing applications. It indicates where to find the "center " of the spectrum. In acoustics, the center wavelength is connected to the tone.

Figuratively speaking, the center wavelength by the weighted arithmetic mean of the frequency components, weighted by their amplitude, calculated ..

For the general case

This is the distribution function at the respective wavelength.

Alternative use

Sometimes the centroid wavelength of the median of the spectrum is formed. However, this usually leads to different results when the signal is not nomalverteilt.

Application

The center wavelength is used in digital audio technology to determine the sound color.

In radiometry, the center wavelength is used to light sources, for example, to characterize LEDs.