Norbert Wiener the amount of noise present in a signal by comparison with an estimate of the desired noiseless signal. Wiener developed the filter at the Radiation Laboratory at MIT to predict the position of German bombers from radar reflections. It is necessary to predict the future, because by the time the shell reaches the vicinity of the target, the target has moved, and maybe has changed direction slightly. They even modeled the muscle response of the pilot, which led eventually to cybernetics. The unmanned V1's were particularly easy to model, and on a good day, American guns fitted with Wiener filters
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