Figure 2 – NH
3
 Calculation 
1.4.2  Kalman Filter Theory 
The digital Kalman filter provides an ideal compromise between response time and noise reduction 
for the type of signal and noise present in ambient air instruments. 
The Kalman filter enhances measurements by modifying the filter time base variable, depending on 
the change rate of the measured value. If the signal is changing rapidly, the instrument is allowed to 
respond quickly. When the signal is steady, a long integration time is used to reduce noise. The 
system continuously analyses the signal and uses the appropriate filtering time.