Fourier-, Hilbert- and wavelet-based signal analysis: are they really different approaches?
@article{Bruns2004FourierHA,
title={Fourier-, Hilbert- and wavelet-based signal analysis: are they really different approaches?},
author={Andreas Bruns},
journal={Journal of Neuroscience Methods},
year={2004},
volume={137},
pages={321-332},
url={https://api.semanticscholar.org/CorpusID:21880274}
}482 Citations
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21 References
Comparison of Hilbert transform and wavelet methods for the analysis of neuronal synchrony
- 2001
Physics
The Fourier analysis of biological transients
- 1998
Biology, Computer Science
Measuring phase synchrony in brain signals
- 1999
Biology
It is argued that whereas long‐scale effects do reflect cognitive processing, short‐scale synchronies are likely to be due to volume conduction, and ways to separate such conduction effects from true signal synchrony are discussed.
Fine temporal resolution of analytic phase reveals episodic synchronization by state transitions in gamma EEGs.
- 2002
Medicine
The results provide support for the hypothesis that neurons in mesoscopic neighborhoods in sensory cortices self-organize their activity by synaptic interactions into wave packets that have spatial patterns of amplitude and phase modulation of their spatially coherent carrier waves in the gamma range and that form and dissolve aperiodically at rates in and below the theta range.
COGNITIVE NEUROSCIENCE: Amplitude envelope correlation detects coupling among incoherent brain signals
Physics, Biology
Amplitude envelope correlation (AEC) is applied to subdural recordings from humans performing a visual delayed match‐to‐sample task and shows that coherence and AEC are adapted to different cortical mechanisms of short‐ and long‐range interactions, respectively.
Perception's shadow: long-distance synchronization of human brain activity
- 1999
Psychology, Biology
It is shown for the first time, to the knowledge, that only face perception induces a long-distance pattern of synchronization, corresponding to the moment of perception itself and to the ensuing motor response.
A new method for quantifying EEG event-related desynchronization:amplitude envelope analysis.
- 1996
Medicine
On the use of windows for harmonic analysis with the discrete Fourier transform
- 1978
Physics, Engineering
A comprehensive catalog of data windows along with their significant performance parameters from which the different windows can be compared is included, and an example demonstrates the use and value of windows to resolve closely spaced harmonic signals characterized by large differences in amplitude.