1949
DOI: 10.7551/mitpress/2946.001.0001
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Extrapolation, Interpolation, and Smoothing of Stationary Time Series

Abstract: A book thatbecame the basis for modern communication theory, by a scientist considered one of the founders of the field of artifical intelligence. Some predict that Norbert Wiener will be remembered for his Extrapolation long after Cybernetics is forgotten. Indeed, few computer science students would know today what cybernetics is all about, while every communication student knows what Wiener's filter is. The original work was circulated as a classified memorandum in 1942, because it was connect… Show more

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Cited by 3,645 publications
(1,497 citation statements)
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“…For each syllable production, reaction time, utterance duration, and error rate were calculated following the removal of noise associated with the scanner bore echo and peripheral equipment using a Wiener filter (Wiener, 1949). Raters were blind to the condition (learned or novel) of the illegal syllables.…”
Section: Methodsmentioning
confidence: 99%
“…For each syllable production, reaction time, utterance duration, and error rate were calculated following the removal of noise associated with the scanner bore echo and peripheral equipment using a Wiener filter (Wiener, 1949). Raters were blind to the condition (learned or novel) of the illegal syllables.…”
Section: Methodsmentioning
confidence: 99%
“…The image acquisition software, based on the Intel Integrated Performance Primitives (IPP) library, functions in two discrete steps during the swept-frequency mode: frame-by-frame image background analysis and object motion detection and quantification of the specific agglutination process. Upon initiation of the swept frequency mode, a training sequence of images is obtained and each RGB color image within the sequence is converted to 8-bit grayscale and a restorative Wiener filter is then applied to minimize the effect of noise (Wiener, 1964). A discrete background image is created from the processed image sequence through the use of a weighted running average algorithm (weighting factor=0.5).…”
Section: Methodsmentioning
confidence: 99%
“…From these derivatives the density function w f ( y ) may be directly computed from the random variable f ( t ), [8] which then facilitates calculation of the quantities typically discussed in statistical signal processing, e.g., mean values, variances, covariances. [20–22] However, in typical statistical signal processing computations, the density function is usually assumed to be continuous, infinitely differentiable, and to approach zero at infinity. In our case w f ( y ) is not well-behaved and has integrable singularities.…”
Section: Methodsmentioning
confidence: 99%