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Theory of Operation 
 Model GFC7000TA Carbon Dioxide Analyzer 
 
 
Teledyne Analytical Instruments 
214 
includes, by default, the last 48 samples, approximately 10 seconds of data, to allow the analyzer to more 
quickly respond.  If necessary, these boxcar lengths can be changed between 1 and 1000 samples but 
with corresponding tradeoffs in rise time and signal-to-noise ratio (contact customer service for more 
information).   
Two conditions must be simultaneously met to switch to the short filter.  First the instantaneous 
concentration must exceed the average in the long filter by a fixed amount.  Second the instantaneous 
concentration must exceed the average in the long filter by a portion, or percentage, of the average in the 
long filter.   
9.5.2. Calibration - Slope and Offset 
Calibration of the analyzer is performed exclusively in software.   
During instrument calibration (see Section 7) the user enters expected values for zero and span via the 
front panel touchscreen and commands the instrument to make readings of calibrated sample gases for 
both levels.  The readings taken are adjusted, linearized, and compared to the expected values, With this 
information the software computes values for instrument slope and offset and stores these values in 
memory for use in calculating the CO
2
 concentration of the sample gas.   
The instrument slope and offset values recorded during the last calibration can be viewed by pressing the 
following touchscreen button sequence: 
 
 SAMPLE 
 RANGE = 50.0 MGM         CO2 
=XX.XX 
 
 SAMPLE 
     
TIME =  16:23:34
 
       CO2 
=XX.XX 
 
 SAMPLE 
     OFFSET =  0.000
 
       CO2 
=XX.XX 
 
 SAMPLE 
    
  SLOPE = 1.000
 
       CO2 
=XX.XX 
 
 
 
9.5.3. Measurement Algorithm  
Once the IR photo-detector is signal is demodulated into CO2 MEAS and CO2 REF by the sync/demod 
board and converted to digital data by the motherboard the GFC 7000TA analytical software calculates 
the ratio between CO2 MEAS and CO2 REF.  This value is compared to a look-up table is used, with 
interpolation, to linearize the response of the instrument.  The linearized concentration value is combined 
with calibration slope and offset values, then normalized for changes in sample gas pressure to produce 
the final CO
2
 concentration.  This is the value that is displayed on the instrument front panel display and is 
stored in memory by the analyzer’s DAS system.