Publication

Properties of Smoothing with Time Gating

Marten Sjöström
2000
Conference Papers

Abstract

Estimates of transfer functions from measurements contain undesired information -- noise -- whose effect can partly be taken away by applying different smoothing techniques. One such smoothing technique suggests to remove the noise by gating the impulse response in the time domain, hence the name time-gating. This paper shows that time-gating is a special case of a more general smoothing technique. The paper further contains a discussion concerning a preferable choice of time-gating window. An example applied to longitudinal beam transfer functions reflects the necessary trade-off between bias and variance.

Official source

https://infoscience.epfl.ch/entities/publication/c7b3187c-1962-4dd0-8738-6fc1d9b6aaab

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Marten Sjöström
2000
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/c7b3187c-1962-4dd0-8738-6fc1d9b6aaab

About this result

Related concepts (26)

Smoothing

In statistics and , to smooth a data set is to create an approximating function that attempts to capture important patterns in the data, while leaving out noise or other fine-scale structures/rapid phenomena. In smoothing, the data points of a signal are modified so individual points higher than the adjacent points (presumably because of noise) are reduced, and points that are lower than the adjacent points are increased leading to a smoother signal.

Edge-preserving smoothing

Edge-preserving smoothing or edge-preserving filtering is an technique that smooths away noise or textures while retaining sharp edges. Examples are the median, bilateral, guided, anisotropic diffusion, and Kuwahara filters. In many applications, e.g., medical or satellite imaging, the edges are key features and thus must be preserved sharp and undistorted in smoothing/denoising. Edge-preserving filters are designed to automatically limit the smoothing at “edges” in images measured, e.g., by high gradient magnitudes.

Impulse response

In signal processing and control theory, the impulse response, or impulse response function (IRF), of a dynamic system is its output when presented with a brief input signal, called an impulse (δ(t)). More generally, an impulse response is the reaction of any dynamic system in response to some external change. In both cases, the impulse response describes the reaction of the system as a function of time (or possibly as a function of some other independent variable that parameterizes the dynamic behavior of the system).

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