Norbert Wiener the development of the digital theory. Wiener originated cybernetics, a formalization of the notion of feedback, with many implications for engineering, systems control, computer science, biology, philosophy, and the organization of society. Wiener's work with cybernetics influenced Gregory Bateson and Margaret Mead, and through them, anthropology, sociology, and education. A simple mathematical representation of Brownian motion, the Wiener equation, named after Wiener, assumes the current velocity of a fluid particle fluctuates randomly. For signal processing, the Wiener filter is a filter proposed by Wiener during the 1940s and published in 1942 as a classified document. Its purpose is to reduce
Wiener series by Norbert Wiener used in signal processing. Given a system with an input/output pair formula_1 where the input is white noise with zero mean value and power A, we can write the output of the system as sum of a series of Wiener G-functionals formula_2 In the following the expressions of the G-functionals up to the fifth order will be given: formula_3 formula_4 formula_5 formula_6 formula_7 formula_8 formula_9 formula_10 formula_11 Wiener series In mathematics, the Wiener series (or "Wiener G-functional expansion") originates from the 1958 book of Norbert Wiener. It is an orthogonal expansion for nonlinear functionals closely related to