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How is the calibration formula derived?
 
According to the tri stimulus method, color sensors are calibrated with the following formula:

K=(XYZ*XsYsZs T)*( XsYsZs * XsYsZs T)

variables are:
K : 3x3 correction matrix
XYZ: 3x4 target data
XsYsZs : 3x4 sensor data
T: transponse of matrix-1: Inverse of matrix

see application report →  improved LED systems
 
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