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  • Title: Apparatus to measure the step and frequency responses of gas analysis instruments.
    Author: Turner MJ, Culbert S.
    Journal: Physiol Meas; 1993 Aug; 14(3):317-26. PubMed ID: 8401271.
    Abstract:
    The dynamic characteristics of gas analysers are often assessed by measuring the step response. It is difficult to generate a verifiable instantaneous step change in gas composition. We constructed a 0.06 ml measurement chamber connected via high-speed valves (0.5 ms response time) to two 31 reservoirs pressurized to 50 kPa with gases containing different concentrations of CO2. An electronic system opens the valves alternately depending on the polarity of a control voltage Vc. Two walls of the chamber contain narrow-band infra-red filters centered at 4.24 microns (50% transmission points at 4.16 and 4.32 microns) where CO2 absorption is high. A photoconductive infra-red sensor and an infra-red source are positioned on either side of the chamber. The output of the sensor is amplified by an instrumentation amplifier. Signal averaging of the sensor output in either the time or frequency domain was used to overcome the noise of the infra-red sensor. Step changes in Vc yielded exponentially changing outputs with a time constant of 1.1 ms. A quadrupole mass spectrometer's response to step changes in CO2 concentration generated in the measurement chamber fitted single exponential curves well with a maximum time constant of 37.7 ms and transport delay of 194 ms. The frequency response of the infra-red system, from Vc to the sensor output, fell by 0.7 dB with a phase lag of 30 degrees between 1 and 50 Hz. Using the infra-red system to measure the true input to the mass spectrometer, the frequency response of the mass spectrometer was found to fall by 35 dB with a phase lag of over 3000 degrees between 0.2 and 50 Hz. A first-order model with delay fitted to the step response predicted the mass spectrometer frequency response well below 10 Hz but overestimated the response above 10 Hz. A third-order model with delay fitted to the frequency response predicted the step response very well. Our results suggest that low-order models cannot predict the high-frequency performance of a mass spectrometer.
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