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Related Concept Videos

Convolution: Math, Graphics, and Discrete Signals01:24

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In any LTI (Linear Time-Invariant) system, the convolution of two signals is denoted using a convolution operator, assuming all initial conditions are zero. The convolution integral can be divided into two parts: the zero-input or natural response and the zero-state or forced response, with t0 indicating the initial time.
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Induced Electric Fields: Applications01:27

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An emf is induced when the magnetic field in a coil is changed by pushing a bar magnet into or out of the coil. emfs of opposite signs are produced by motion in opposite directions, and the directions of emfs are also reversed by reversing poles. The same results are produced if the coil is moved rather than the magnet—it is the relative motion that is important. The faster the motion, the greater the emf. Additionally, there is no emf when the magnet is stationary relative to the coil.
A...
Induced Electric Fields01:23

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The fact that emfs are induced in circuits implies that work is being done on the conduction electrons in the wires. What can possibly be the source of this work? We know that it’s neither a battery nor a magnetic field, as a battery does not have to be present in a circuit where current is induced, and magnetic fields never do any work on moving charges. The source of the work is in fact an electric field that is induced in the wires. For example, if a stationary conductor is placed in a...
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Electric fields generated by static charges, often referred to as electrostatic fields, are characteristically different from electric fields created by time-varying magnetic fields. While the former is a conservative field, implying that no net work is done on a test charge if it goes around in a complete loop in the field, the latter is, by definition, not a conservative field; net work is done, and it is proportional to the rate of change of magnetic flux.
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Related Experiment Video

Updated: May 18, 2026

Electric and Magnetic Field Devices for Stimulation of Biological Tissues
13:29

Electric and Magnetic Field Devices for Stimulation of Biological Tissues

Published on: May 15, 2021

Convolution models for induced electromagnetic responses.

Vladimir Litvak1, Ashwani Jha, Guillaume Flandin

  • 1The Wellcome Trust Centre for Neuroimaging, UCL Institute of Neurology, London, WC1N 3BG, UK. v.litvak@ucl.ac.uk

Neuroimage
|September 18, 2012
PubMed
Summary
This summary is machine-generated.

This study introduces a deconvolution method for analyzing electromagnetic brain signals, improving upon traditional averaging techniques for complex, overlapping responses. This approach enhances the localization and understanding of neural activity over time and frequency.

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Area of Science:

  • Electrophysiology
  • Computational Neuroscience
  • Brain Signal Analysis

Background:

  • Traditional analysis of induced brain responses relies on post-hoc averaging, which struggles with overlapping or variably timed neural components.
  • This limitation hinders accurate localization of responses in peristimulus time and frequency.

Purpose of the Study:

  • To present a novel deconvolution approach for analyzing induced electromagnetic brain responses.
  • To overcome the limitations of post-hoc averaging in time-frequency analysis of neural signals.
  • To enable more accurate disambiguation and characterization of stimulus- and response-related neural activity.

Main Methods:

  • Utilizes ordinary least squares deconvolution with convolution models to estimate induced responses.
  • Employs input functions encoding the onset of different response components within trials.
  • Considers optimal forms for convolution models, including impulse response basis functions.

Main Results:

  • The deconvolution method successfully disambiguates induced responses to stimulus onsets and variably timed responses.
  • Allows for testing the modulation of induced responses by parametric factors across peristimulus time and frequency.
  • Effectively handles confounds like slow power drifts by incorporating them into the model.

Conclusions:

  • Deconvolution offers a robust alternative to post-hoc averaging for analyzing complex induced brain responses.
  • This method enhances the precision of time-frequency analysis in electrophysiology.
  • The approach is validated using simulated and real magnetoencephalography (MEG) data.