Hilbert Transform

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 : Oct 29 2020

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