Abstract

A detailed analysis of a particular adaptive filter has been carried out and the required extension of the theory to the general case is indicated. The filter measures the spectral densities of the input signal and noise processes and adjusts its band-pass to give optimal filtering in the Wiener sense. The behavior is examined in the linear approximation and a crude treatment of the nonlinear transient response is given. These results compare favorably with an analog simulation.

Keywords

Wiener filterAdaptive filterControl theory (sociology)Filter (signal processing)Linear filterNonlinear filterNoise (video)Kernel adaptive filterComputer scienceNonlinear systemTransient (computer programming)SIGNAL (programming language)Extension (predicate logic)MathematicsAlgorithmDigital filterFilter designArtificial intelligencePhysics

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Publication Info

Year
1962
Type
article
Volume
7
Issue
4
Pages
10-19
Citations
6
Access
Closed

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Cite This

R. Bucy, James W. Follin (1962). Adaptive finite time filtering. IRE Transactions on Automatic Control , 7 (4) , 10-19. https://doi.org/10.1109/tac.1962.1105482

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DOI
10.1109/tac.1962.1105482