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TMP007 Multiple Calibrations per environment

Other Parts Discussed in Thread: TMP007, TMP006

Based on another post in the TI TMP forums, here, the TMP006/TMP007 device -

"device is specified for +/-1C typical and +/-3C max in the range"

(referring to a 15˚C range from 25~40).

If this is the case, in order to get better results, should one use multiple calibration coefficient sets (say a set for 0˚C ~ 50˚C , and a different coefficient set for 50˚C ~ 150˚C)?

And update the coefficient registers before using in different temperature extremes