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DS1923
iButton Hygrochron Temperature/Humidity
Logger with 8KB Data-Log Memory
Step 1: Preparation
For the humidity data in the calibration memory, the lower 4 bits of each low byte are set to 0. This simplifies the con-
version from the binary data format to raw %RH values to a one-line equation.
Hr1 = ((Hr1H x 256 + Hr1L) x 5.02/65536 - 0.958)/0.0307 (convert from binary to %RH)
Hr2 = ((Hr2H x 256 + Hr2L) x 5.02/65536 - 0.958)/0.0307
Hr3 = ((Hr3H x 256 + Hr3L) x 5.02/65536 - 0.958)/0.0307
Hc1 = ((Hc1H x 256 + Hc1L) x 5.02/65536 - 0.958)/0.0307
Hc2 = ((Hc2H x 256 + Hc2L) x 5.02/65536 - 0.958)/0.0307
Hc3 = ((Hc3H x 256 + Hc3L) x 5.02/65536 - 0.958)/0.0307
Err1 = Hc1 - Hr1
Err2 = Hc2 - Hr2
Err3 = Hc3 - Hr3
B = [(Hr2 2 - Hr1 2 ) x (Err3 - Err1) + Hr3 2 x (Err1 - Err2) + Hr1 2 x (Err2 - Err1)]/[(Hr2 2 - Hr1 2 ) x (Hr3 - Hr1) +
(Hr3 2 - Hr1 2 ) x (Hr1 - Hr2)]
A = [Err2 - Err1 + B x (Hr1 - Hr2)]/(Hr2 2 - Hr1 2 )
C = Err1 - A x Hr1 2 - B x Hr1
Step 2: Execution
Hc = ((HcH x 256 + HcL) x 5.02/65536 - 0.958)/0.0307
Hcorr = Hc - (A x Hc 2 + B x Hc + C)
(convert from binary to %RH)
(the actual correction)
Numerical Humidity Correction Example
CONVERTED DATA FROM CALIBRATION MEMORY
Hr1 = 20%RH
Hr2 = 60%RH
Hr3 = 90%RH
Hc1 = 17.65%RH
Hc2 = 56.41%RH
Hc3 = 89.57%RH
RESULTING CORRECTION COEFFICIENTS
B = -0.186810
A = 0.001948%RH
C = 0.607143%RH
ERROR VALUES
Err1 = -2.35%RH
Err2 = -3.59%RH
Err3 = -0.43%RH
APPLICATION OF CORRECTION COEFFICIENTS
TO SAMPLE READING
Hc = 8.9%RH
Hcorr = 9.8%RH
Note: The software correction requires floating point arithmetic (24-bit or better). Suitable math libraries for microcontrollers are
found on various websites and are included in cross-compilers.
52
Maxim Integrated
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