HHT based Instrumental Glitch Trigger Generation

Project Description and Goal

Introduction: Hilbert-Huang Transform (HHT)

emds.png

https://upload.wikimedia.org/math/1/8/a/18aba9375519cd1b75a761363eea55b7.png,

which should be small. The stoppage criterion of this process is determined by comparing between the NSD and the predetermined value - if NSD is smaller than a predetermined value, the process is stopped.

Fourier

Wavelet

Hilbert-Huang

Basis

a priori

a priori

Adaptive

Frequency

Integral transform: Global

Integral transform: Regional

Differentiation: Local

Presentation

Energy-Frequency

Energy-Time-Frequency

Energy-Time-Frequency

Nonlinearity

No

No

Yes

Non-stationarity

No

Yes

Yes

Uncertainty

Yes

Yes

No

Harmonics

Yes

Yes

No

Trigger Generation Method

Preliminary Analysis of HHT

Here, we show some preliminary results done so far using HHT with S6 LIGO data and KAGRA data. First we ran HHT code written in python - mainly consists of EMD and HSA parts with auxiliary channel data in LIGO S6, for example, L1_SUS_ITMX_OPLEV_Y and L1_LSC_DARM_ERR. We ran the code for so many data sets but here some of them are presented to explain our motivation.

Simulation Results

Comparison to Klein-Welle and Other Methods