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MIF (ASC)
takaaki.yokozawa - 11:40 Thursday 12 September 2024 (31065) Print this report
Calculation of the DHARD PIT sensing matrix from AS RF17 QPD1,2 signals
From the Hirose-san's result in klog31056, we tried to maximum the DHARD signal and reducing the other DoF by finding the best alpha value of
DoF[XX] = MAG_QPDA1 * sin(PHASE_QPDA1) + alpha * MAG_QPDA2 * sin(PHASE_QPDA2)

Fig.1. showed the magnitude ratio for the certain alpha value
CHARD / DHARD
DSOFT / DHARD
CSOFT / DHARD

From this result, alpha ~ -4.4 would be the good value to be smaller ratio for upper DoFs.
Fig.2. showed the expanded figure.

If we set the alpha = -4.4 for above calculation, the values (and ratio) of the QPDA1 - QPDA2 in Q signal became
DHARD : 3827.7652846331193
CHARD : -479.2157574801413 (-12.5 %)
DSOFT : 423.07589043198914 (11.1 %)
CSOFT : -156.11136443037958 (-4.1 %)

The script was placed in
/users/yokozawa/script/python/
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