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Entry  Tue May 25 17:42:11 2021, Anchal, Paco, Summary, ALS, ALS Single Arm Noise Budget ALS_IR_b.svgALS_Single_Arm_IR.pdf
    Reply  Thu May 27 11:03:15 2021, Anchal, Paco, Summary, ALS, ALS Single Arm Noise Budget ALS_Single_X_Arm_IR.pdfALS_OOL_with_Ref.pdf
       Reply  Fri May 28 17:32:48 2021, Anchal, Summary, ALS, Single Arm Actuation Calibration with IR ALS Beat SingleArmActCalwithIRALSBeat.pdfstateSpaceModel.zip
          Reply  Tue Jun 1 16:55:32 2021, Anchal, Paco, Summary, ALS, Single Arm Actuation Calibration with IR ALS Beat SingleArmActCalwithIRALSBeat-1306624785.pdf
             Reply  Tue Jun 8 11:40:53 2021, Anchal, Paco, Summary, ALS, Single Arm Actuation Calibration with IR ALS Beat ITMX_Cal_Noise_Spectrum_1307143423.pdf
                Reply  Wed Jun 9 18:29:13 2021, Anchal, Paco, Summary, ALS, Check for saturation in ITMX SOS Driver 
                Reply  Fri Jul 9 15:39:08 2021, Anchal, Summary, ALS, Single Arm Actuation Calibration with IR ALS Beat [Correction] ITMX_calibration_With_ALS_Beat.pdf
Message ID: 16242     Entry time: Fri Jul 9 15:39:08 2021     In reply to: 16192
Author: Anchal 
Type: Summary 
Category: ALS 
Subject: Single Arm Actuation Calibration with IR ALS Beat [Correction] 

I did this analysis again by just doing demodulation go 5s time segments of the 60s excitation signal. The major difference is that I was not summing up the sine-cosine multiplied signals, so the error associated was a lot more. If I simply multpy the whole beatnote signal with digital LO created at excitation frequency, divide it up in 12 segments of 5 s each, sum them up individually, then take the mean and standard deviation, I get the answer as:
\frac{6.88 \pm 0.05}{f^2} nm/ctsas opposed to \frac{7.32 \pm 0.03}{f^2} nm/ctsthat was calculated using MICH signal earlier by gautum in 13984.

Attachment 1 shows the scatter plot for the complex calibration factors found for the 12 segments.

My aim in the previous post was however to get a time series of the complex calibration factor from which I can take a noise spectral density measurement of the calibration. I'll still look into how I can do that. I'll have to add a low pass filter to integrate the signal. Then the noise spectrum up to the low pass pole frequency would be available. But what would this noise spectrum really mean? I still have to think a bit about it. I'll put another post soon.


We attempted to simulate "oscillator based realtime calibration noise monitoring" in offline analysis with python. This helped us in finding about a factor of sqrt(2) that we were missing earlier in 16171. we measured C1:ALS-BEATX_FINE_PHASE_OUT_HZ_DQ when X-ARM was locked to main laser and Xend green laser was locked to XARM. An excitation signal of amplitude 600 was setn at 619 hz at C1:ITMX_LSC_EXC.

Signal analysis flow:

  • The C1:ALS-BEATX_FINE_PHASE_OUT_HZ_DQ is calibrated to give value of beatntoe frequency in Hz. But we are interested in the fluctuations of this value at the excitation frequency. So the beatnote signal is first high passed with 50 hz cut-off. This value can be reduced a lot more in realtime system. We only took 60s of data and had to remove first 2 seconds for removing transients so we didn't reduce this cut-off further.
  • The I and Q demodulated beatntoe signal is combined to get a complex beatnote signal amplitude at excitation frequency.
  • This signal is divided by cts amplitude of excitation and multiplied by square of excitation frequency to get calibration factor for ITMX in units of nm/cts/Hz^2.
  • The noise spectrum of absolute value of  the calibration factor is plotted in attachment 1, along with its RMS. The calibration factor was detrended linearly so the the DC value was removed before taking the spectrum.
  • So Attachment 1 is the spectrum of noise in calibration factor when measured with this method. The shaded region is 15.865% - 84.135% percentile region around the solid median curves.

We got a value of \frac{7.3 \pm 3.9}{f^2}\, \frac{nm}{cts}.  The calibration factor in use is from \frac{7.32}{f^2} nm/cts from 13984.

Next steps could be to budget this noise while we setup some way of having this calibration factor generated in realitime using oscillators on a FE model. Calibrating actuation of a single optic in a single arm is easy, so this is a good test setup for getting a noise budget of this calibration method.


Attachment 1: ITMX_calibration_With_ALS_Beat.pdf  24 kB  Uploaded Fri Jul 9 16:51:31 2021  | Hide | Hide all
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