what is brown noise

Brown noise, also known as Brownian noise or red noise, is a type of signal noise produced by Brownian motion, which is the erratic motion of particles in a fluid. It is named after Robert Brown, who documented this motion. Brown noise has a spectral density that is inversely proportional to (f^2), meaning it has higher intensity at lower frequencies, even more so than pink noise. It decreases in intensity by 6 dB per octave and has a "damped" or "soft" quality compared to white and pink noise. It resembles the roar of a river current or strong wind and is often used for relaxation, improved focus, and sleep improvement