Calibration of data in the time domain (or how to generate 1800s long SFTs from time domain data) XS, Bruce Allen, Mike Landry, Soumya Mohanty, Malik.

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Presentation transcript:

Calibration of data in the time domain (or how to generate 1800s long SFTs from time domain data) XS, Bruce Allen, Mike Landry, Soumya Mohanty, Malik Rachmanov, Martin Hewitson LIGO-G030628-00-Z

We reconstruct the strain from the residual and control motions: LIGO-G030628-00-Z

Need to construct digital filters for the inverse sensing function , the servo , and the actuation function H1: -Sensing function -Consists of a cavity pole at 84.8 Hz, an anti- aliasing 8th order elliptic filter at 7.5KHz, a pole at 100kHz and an electronics gain. -Inverse of sensing function (a zero) is unstable: to stabilise it a pole is added at 100kHz, and up- sampled AS_Q is filtered through it LIGO-G030628-00-Z

-Inverse of 8th order elliptic filter is tricky … -Inverse of 8th order elliptic filter is tricky … impulse response is no good: Needs some fixing: Magnitude Response Phase Response Hz Hz New impulse response: LIGO-G030628-00-Z

-Consists 11 2nd order digital filters -Servo -Consists 11 2nd order digital filters -Only had problems with the first filter: a double pole at 0Hz which we moved to 1.6Hz LIGO-G030628-00-Z

-Actuation -Consists 13 2nd order digital filters (7 for x-arm, 6 for y- arm), pendulum transfer function, anti-imaging 4th order elliptic filter at 7.5kHz, time delay Pade filter and snubber -The analog part of this filter was digitised using a bilinear transformation at 16384x2Hz (!) Magnitude Response Phase Response m/count rads Hz Hz LIGO-G030628-00-Z

Signal Processing Pipeline LIGO-G030628-00-Z

Conclusions All elements of pipeline are in place but still need extensive testing and validation Would appreciate feedback (HP frequency? Accuracy?… ) LIGO-G030628-00-Z