Hilbert Transform

Summary

Doc_BoxAlgorithm_HilbertTransform.png
  • 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 30 2016
  • WARNING : this box has been marked as UNSTABLE by the developer. It means that its implementation may be incomplete or that the box can only work under well known conditions. It may possibly crash or cause data loss. Use this box at your own risk, you've been warned.

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 :

AnalyticRepresentation.png

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