Jinyi Li, Xue Yang, Chenge Zhang, Fuzhen Xue, Xiaotao Yang. Kalman Filtering with Optimized Parameters for Gas Measurement Using Laser Absorption Spectroscopy[J]. Acta Optica Sinica, 2022, 42(18): 1830001
- Acta Optica Sinica
- Vol. 42, Issue 18, 1830001 (2022)
Fig. 1. Filtering effect evaluation of Kalman filter under different g values. (a) Output results after filtering under different g values; (b) standard deviation of output result of filter varying with g value
Fig. 2. Time response evaluation of Kalman filtering under different g values. (a) Response of filter to step signal under different g values; (b) t90 response time varying with g value
Fig. 3. Normalized standard deviation and t90 varying with g value and corresponding exponential function fitting
Fig. 4. Relationship between R value and g value under different Gaussian white noise amplitudes
Fig. 5. Relationship between R value and g value under different weights
Fig. 6. Filtering effect evaluation of Kalman filter on outliers. (a) Response of Kalman filtering to outliers under different g values; (b) comparison of 10-point and 20-point moving average filtering with Kalman filtering
Fig. 7. Comparison of response of Kalman filter and extended state filter to concentration step signal
Fig. 8. Schematic diagram of ammonia slip laser detection system
Fig. 9. Flow chart for inversion of gas temperature, concentration of H2O and concentration of NH3
Fig. 10. Comparison of measured results of ammonia slip laser detection system with and without Kalman filtering. (a)
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Table 1. Evaluation of output results of ammonia slip TDLAS system with and without Kalman filtering
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