Seitz's Changeable Noise

Seitz alternating noise, also known as Fröhlich noise or simply alternating motion, is a type of periodic geometric figure resulting from the displacement of the center of mass of a moving body relative to a fixed coordinate system. This phenomenon, observed in physics, is an oscillatory process in which the amount of displacement of the center of mass changes over time.

The phenomenon was first studied and described by the German physicist Hans Seitz in 1896. He also gave it the name "variable noise" because of its effect on the perception of sound and music. Zintz's discovery turned out to be the most important in the development of sound recording and reproduction technology, and thanks to the mathematical description of the phenomenon, modern technologies for generating and processing signals became possible.

Variable noise has a quadratic intensity function, which can be described by the Abel equation:

I(t) = cos^2(ω0 t + θ) + sin^2(ω0 t + φ).

Here I(t) is the intensity of the alternating noise, ω0 is the oscillation frequency, θ is the initial phase value, φ is the phase detuning angle.

Abel's equation describes the case of absolute directionality of the movement of the center of mass, when the initial moment and direction of movement of the fixed point are equal to zero. However, under initial conditions other than zero (for example, with an initial speed or a slight deviation of the initial moment), the intensity function takes on a more complex form and includes exponential and logarithmic functions, which makes it possible to describe many effects associated with the movement of a body.

Thus, list noise is a useful tool for analyzing various phenomena in many fields of science and technology, from physics to acoustics and electrical engineering. Its application finds its place in the creation of new materials and technologies, image and signal processing, as well as in the study of the mechanisms of behavior and organization of various systems.