Summary

- Plugin name : Hilbert Transform
- Version : 1
- Author : Alison Cellard
- Company : Inria
- Short description : Hilbert transform, Phase and Envelope from discrete-time analytic signal using Hilbert
- Documentation template generation date : Dec 3 2018
Description
Return Hilbert transform, phase and envelope of the input signal using analytic signal computation
This box computes the envelope and the instantaneous phase by performing the Discrete-Time Analytic signal [1] using Hilbert transform (see http://en.wikipedia.org/wiki/Analytic_signal).
The definition of analytic signal :

With x(t) the input signal, H(x) its Hilbert transform and i the imaginary unit.
For more informations on Hilbert transform and EEG see also : http://www.scholarpedia.org/article/Hilbert_transform_for_brain_waves
[1] Marple, S.L., "Computing the discrete-time analytic signal via FFT," IEEE Transactions on Signal Processing, Vol. 47, No.9 (September 1999), pp.2600-2603.
Inputs
1. Input Signal
The input signal
- Type identifier : Signal (0x5ba36127, 0x195feae1)
Outputs
1. Hilbert Transform
Return the Hilbert transform (imaginary part of the analytic signal) of the input
- Type identifier : Signal (0x5ba36127, 0x195feae1)
2. Envelope
Return the envelope signal of the input
- Type identifier : Signal (0x5ba36127, 0x195feae1)
3. Phase
Return instantaneous phase of the input
- Type identifier : Signal (0x5ba36127, 0x195feae1)
Examples
Miscellaneous
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