Brownian noise

"Brown noise" redirects here. For the hypothetical sound that affects the human bowel, see Brown note. For other uses, see Brown noise (disambiguation).
Colors of noise
Sample trace of Brownian noise
A two-dimensional Brownian noise image, generated with a computer program
A 3D Brownian noise signal, generated with a computer program, shown here as an animation, where each frame is a 2D slice of the 3D array
Spectrum of Brownian noise, with a slope of –20 dB per decade

In science, Brownian noise, also known as Brown noise or red noise, is the type of signal noise produced by Brownian motion, hence its alternative name of random walk noise. The term "Brown noise" does not come from the color, but after Robert Brown, who documented the erratic motion for multiple types of inanimate particles in water. The term "red noise" comes from the "white noise"/"white light" analogy; red noise is strong in longer wavelengths, similar to the red end of the visible spectrum.