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takahiro.yamamoto - 22:00 Thursday 22 May 2025 (33874) Print this report
consideration about dewhitening compensation for a new 30Hz/3Hz coil driver

Abstract

We are now planning to use a special coil driver for ETMX which has 30Hz:3Hz zero/pole pairs instead of 10Hz:1Hz pairs.
Pre-test of circuit measurement is ongoing and progress is reported in klog#33854.
We noticed that this special coil driver has different response from normal coil driver not only when dewhitening is enabled but also when it's disabled.
We also found that this response with disabling dewhitening makes ~10% bias as maximum by changing a number of dewhitening stages.
This effect may makes a non-negligible calibration errors in the case of parallel execution of observation and working with observation

It's not so difficult to compensate these two effect only for front-end calibration or only for low-latency calibration.
But an additional consideration about the operation is required to make the correction consistent for both front-end and low-latency calibration.
 

Details

Difference between normal and special coil drivers
zero/pole frequency of dewhitening filter is decided by R7 (should be same value as R25), R11, R19, and C22 in Fig.1.
- zero = 1 / [ 2 * pi * (C22 * 2) * (R7 + (R11 || R19) * 0.5) ]
- pole = 1 / [ 2 * pi * (C22 * 2) * (R11 || R19) * 0.5) ]
For changing zero/pole pairs from 10Hz/1Hz to 30Hz/3Hz, C22 was changed from 4.7uF to 1.5(1.6?)uF.

In this circuit, positive and negative paths are connected via R19 and C22 even when dewhitening is turned off. As a result, frequency dependency appears also in the case of disabling dewhitening as
- zero = 1 / [ 2 * pi * (C22 * 2) * (R7 + R19 * 0.5) ]
- pole = 1 / [ 2 * pi * (C22 * 2) * (R19 * 0.5) ]
These values are ~0.03Hz in the normal coil driver and it can be regarded as flat response above 1Hz. On the other hand, they becomes ~0.1Hz in the special coil driver and it cannot be negligible especially for TF phase. (Response of normal and special coil drivers are shown in Fig.2.) If we will decide to use the special coil driver, we need to compensate them with accurate parameters which will be measured after the installation.

Operation for the parallel execution of observation and working with observation
In the case of normal observation, we can fix a number of used dewhitening. So we can take into account a gain above 10Hz of coil driver without dewhitening filter as a part of the actuator efficiency. But in the case of parallel execution of observation and working with observation, we cannot fix a number of use dewhitening and it might be changed. This effect corresponds to 0.8dB (~10%) as shown in Fig.2. The easiest way to compensate this effect and to keep front-end calibration is applying compensation filters in COILOUTF. But this way seems to be some problem on low-latency calibration according to a chat with Hido-kun. We don't have any good idea yet to keep low-cost to manage both front-end and low-latency calibrations. Though there is not so much time to consider it, we need a better solution.

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Comments to this report:
Shingo Hido - 9:36 Thursday 29 May 2025 (33944) Print this report

Abstract

In conjunction with the iHPCD replacement, I updated the some parameters in ETMX_TM_COILOUTF_HP_H{1, 2, 3, 4}. The updates include proper cancellation of dewhitening stage effects and confirmation of consistent actuator efficiency increase. The online reconstruction filter has also been updated accordingly to reflect these changes.

Actuator efficiency of ETMX TM:

H_etmxtm = -3.90899e-14 @ 10 Hz (+2.934 % klog#33609, excluding the effect of this filter update, the impact is approximately -0.38%)

A similar procedure will be required again after replacing the currently tested coil driver ( klog#33854 ) for ETMX_TM_COILOUTF_H{1, 2, 3, 4}.

Additional Notes

The filters ETMX_TM_COILOUTF_HP_H{1, 2, 3, 4} have been updated to reflect the newly measured transfer functions (see DAC wiki).
Instead of incorporating the effect of varying dewhitening stages into the actuator efficiency, I explicitly canceled this effect by adding a low-frequency (~0.03 Hz) zero/pole pair to Sim-DW{1, 2, 3} inside ETMX_TM_COILOUTF_HP_H{1, 2, 3, 4}. After updating the filters, I confirmed that the interferometer successfully reached the "OBSERVATION_WITHOUT_LINES" state.

As shown in Fig.1 and Fig.2, comparing measurements before and after the filter update for both (ETMXTM → DARM) / (XPCAL → DARM), we observed an increase of approximately 3.3% in the actuator efficiency of ETMXTM:

( 0.51923 / 0.50249−1 ) × 100 ≈ 3.331%

This result is consistent with expectations (~3.2%) under the current PRFPMI configuration, in which two dewhitening stages are enabled for the ETMX TM.

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