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In view of the above situation, this paper designs a digital lock-in amplifier (DLIA) with high-frequency, long-bit-wide signal acquisition, signal modulation, and harmonic demodulation functions based on FPGA, and applies it to the carbon dioxide (CO2) concentration detection system of WM-TDLAS technology. For the concentration detection system, the hardware parameters of the lock-in amplifier and the key data processing algorithms were optimized. 1) The high-low-pass cooperation scheme is used to filter out the low-frequency clutter signal in the input data to improve the signal-to-noise ratio of the system. To reduce resource consumption and optimize system performance, a Cascaded Integeator-Comb Filter (CIC) filter is designed to perform downsampling of signals with a high sampling rate and reduce the required order of low-pass filter to achieve a lower cut-off frequency. 2) Direct Digital Frequency Synthesis (DDS) technology based on external input clocks is introduced to generate high-frequency synchronous clock reference signals, which can reduce the distortion and harmonic peak jitter caused by clock offset jitter in non-homologous digital systems. 3) The FPGA generates the laser scan signal required for wavelength modulation and the high-frequency clock required for the analog signal acquisition circuit, simplifying the peripheral circuit. This paper designs a digital quadrature lock-in amplifier based on programmable logic gate array (FPGA) programmable features. Harmonic signal demodulation is realized, and the frequency of the high-frequency laser modulation signal can be tuned. The quadrature lock-in amplifier can effectively extract the weak signal in the background noise, through the different signal-to-noise ratio of the signal to be measured under the harmonic extraction and Q value experiments. The signal-to-noise ratio of the signal under test is 43 dB with a maximum error of only 0.91%, and the Q value is 45, indicating that the lock-in amplifier has good frequency response and noise immunity. To test the performance of the designed digital quadrature phase locker in the WM-TDLAS detection, build based on the WM-TDLAS carbon dioxide experimental system to carry out the concentration detection, stability, and response time test, the amplitude of the harmonic signal extracted by the lock-in amplifier and the CO2 concentration has a good linear relationship (R2 = 0.99982), the system acquires the concentration value of the time of 0.1 s, Allen's square indicates that the detection limit is 1.86 ppm. The experimental results show that the WM-TDLAS detection system based on FPGA digital lock-in amplifier has the advantages of digital signal modulatability, high detection sensitivity, and strong noise immunity, and can be used for real-time monitoring of concentration in practical applications.
Quadrature phase lock-in principle block diagram
Structure of the FPGA-based WM-TDLAS CO2 concentration detection system
Block diagram of FPGA internal logic structure
Detection system linearity experiment. (a) Amplitude extraction result of sinusoidal signal; (b) Linear fitting of extracted amplitude with actual value
Anti-noise and Q-value experiment. (a) Harmonic extraction results with different signal-to-noise ratio; (b) Frequency amplitude response of DLIA
Experimental platform for CO2 concentration detection
Experimental results of carbon dioxide concentration detection. (a) Second harmonic waveforms; (b) Carbon dioxide concentration inversion curve
Response time test of carbon dioxide detection system
System stability experiment. (a) Carbon dioxide concentration fluctuates; (b) Allan variance