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Noise Projections for GEO 600. Joshua Smith GEO Meeting 11.10.06. Detector output decomposed. transfer function. detector output. noise source. detector output:. noise channels:. Noise channels. noise channel. transfer function. detector output. noise source. detector output:.

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noise projections for geo 600

Noise Projections for GEO600

Joshua Smith GEO Meeting 11.10.06

detector output decomposed
Detector output decomposed

transfer function

detector output

noise source

detector output:

noise channels

noise channels:

Noise channels

noise channel

transfer function

detector output

noise source

detector output:

noise projections

noise channels:

Noise projections

noise channel

transfer function

detector output

noise source

detector output:

noise projections:

noise budget:

simplified procedure i
Simplified procedure I

Causality key

  • Notes:
  • Causality key
  • Simultaneous DFTs allow comparison
  • Other variants exist, eg open-loop which requires CLTF
simplified procedure ii
Simplified procedure II

Causality key

Normal operation

simplified procedure iii
Simplified procedure III

Causality key

Normal operation

noise projection alignment fb
Noise projection: alignment FB

 feedback

noise projection

transfer function

s5 np reconstruction
S5 NP Reconstruction

Goal: Noise projections (full budget) at any time.

Coming soon: ProjMon

  • Transfer functions:
    • Measure accurately about once per month
    • Track using calibration lines
  • 2. Fourier transforms of Nj and H:
    • Signals recorded continuously anyway…
tracking transfer functions
Tracking transfer functions
  • At calibration line, projection and H should have same amplitude, phase.
  • Ratio and difference indicate TF accuracy.
  • For 10 day test, about 10% 10o
vetoes of false gravitational waves
Vetoes of false gravitational waves
  • Noise channels contain almost no GW info
  • Coincident (within windows) events are not GWs !
  • See Ajith and Martin’s talks !

Example: injected burst-like waveform

noise subtraction alignment fb
Noise subtraction: alignment FB

Error at a given freq. vs. filter accuracy

H

H’

Results of a time-domain subtraction

noise removal eg frequency noise
Noise removal, eg., frequency noise

Most important role of NPs in commissioning: Identify limiting noise sources – team removes them

noise projection laser frequency noise
Noise projection: laser frequency noise

 Transfer function calculation would require very sophisticated model

Noise projections well-suited for very complicated systems

limitations loop gain
Limitations: loop gain

Single-path loop

Simulated results

Workarounds exist:

eg., for high loop gain

limitations ii
Limitations II

Single-path loop

Split-path loop

Workarounds exist: eg., for high loop gain

detector output i
Detector output I

transfer function

detector output

noise source

detector output:

detector output ii
Detector output II

transfer function

detector output

noise source

detector output: