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hirose.chiaki - 22:04 Wednesday 29 July 2026 (37289) Print this report
Design of the 3f sensing matrix for the DRMI3f lock configuration

[Tanaka, Hirose]

This is continued from klog37279.

While locked at DRMI 1f, we measured the sensing matrix for the 3f sensors. 

The sensing matrix is as follows in Table 1. (Values marked with an asterisk (*) have a coherence below 0.85.) We excited the PRM, BS, and SRM of the PRCL, SRCL, and MICH actuators, respectively, at 150.125 Hz. (Figures 1, 2, and 3)

Table1: Sensing matrix /(PRCL1_IN1) /(SRCL1_IN1) /(MICH1_IN1)
RF135I -2.294 -0.254 -2.74275
RF135Q 0.063 0.053 0.1170
RF51I -0.4016 -0.3244 -0.06095*
RF51Q -0.4177 -0.012* -0.2417

We normalized the results in the table below so that the reference value for the degree of freedom is 1 for each sensor. (Table 2)

Table 2 PRCL SRCL MICH
RF135I 1.000 0.111 1.196
RF135Q 0.5385 0.4530 1.000
RF51I 1.237 1.000 0.188*
RF51Q 1.727 0.050* 1.000

Based on the measurement results above(Table 2), we considered the sensor coefficients(Table 4) to achieve the signal response shown in the table below(Table 3).
Table 3 is based on the equations in Fig. 4. 

Table 3 PRCL SRCL MICH
PRCL ERROR 1 0 0.5
SRCL ERROR 0 1 0.5
MICH ERROR 0 0 1

Table 4 shows the sensor coefficients. The error signal for each degree of freedom is obtained by multiplying each sensor signal by its coefficient and summing the results. These coefficients will be used in the Input Matrix on the MEDM screen.

Table 4: Input matrix RF135I RF135Q RF51I RF51Q  
  1   -0.111 -4.421 PRCL ERR
  2.1663   1 -1.9706 SRCL ERR
  -2.0019   0.2222 1 MICH ERR

Table 5 summarizes the calculated coupling of each degree of freedom in the error signals obtained using the sensor coefficients in Table 4. The calculated coupling ratios are close to the ideal values shown in Table 3. 

Table 5 : Signal Response PRCL  SRCL  MICH 
PRCL ERR −6.773 0.000 −3.225
SRCL ERR 0.000074 1.24046 0.62029
MICH ERR 0.000 0.000 -1.394

Next time, we'll insert in this coefficient and try 3f lock.

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