基于改进小波阈值的TDLAS系统一次谐波降噪算法研究

First harmonic denoising algorithm of TDLAS system based on improved wavelet threshold

  • 摘要: 煤矿井下环境复杂,光源波动、噪声及环境干扰等因素均会对可调谐半导体激光吸收光谱(TDLAS)系统造成影响,导致其一次谐波光谱信号信噪比降低,严重制约气体检测的精度与稳定性。针对上述问题,提出一种基于改进小波阈值的TDLAS系统一次谐波降噪算法。首先,通过枚举算法确定最优小波基与分解层数,得到适配一次谐波光谱信号的最优参数。然后,构建连续可导的阈值函数,解决硬阈值突变与软阈值细节损失的问题。最后,结合一次谐波光谱信号的局部方差设计自适应阈值,使阈值随信号局部特征动态调整,实现噪声与有效信号的精准分离。仿真实验结果表明:与传统小波阈值算法相比,改进小波阈值降噪算法的信噪比提升19.03 dB,均方误差降低98.75%,波形相似系数提升0.083 3,降噪性能优于传统小波阈值算法。甲烷检测结果表明:降噪信号在频段上的噪声能量大幅度减少,有用信号集中于目标频段,说明改进小波阈值降噪算法能够有效抑制一次谐波信号噪声。

     

    Abstract: The complex underground environment in coal mines, including factors such as light source fluctuation, noise, and environmental interference, can affect the Tunable Diode Laser Absorption Spectroscopy (TDLAS) system. This results in a decreased signal-to-noise ratio of the first-harmonic spectrum signal, which severely compromises the accuracy and stability of gas detection. To address these problems, a first-harmonic denoising algorithm for the TDLAS system based on an improved wavelet threshold was proposed. First, the optimal wavelet basis and decomposition level were determined using an enumeration algorithm to identify the optimal parameters suitable for the first-harmonic spectrum signal. Then, a continuously differentiable threshold function was developed to address the issues of abrupt changes in hard thresholds and detail loss in soft thresholds. Finally, an adaptive threshold based on the local variance of the first-harmonic spectrum signal was designed, enabling the threshold to dynamically adjust according to local signal characteristics, thereby achieving precise separation of noise and effective signals. Simulation results showed that compared with the traditional wavelet threshold algorithm, the improved wavelet threshold denoising algorithm increased the signal-to-noise ratio by 19.03 dB, reduced the mean square error by 98.75%, and improved the waveform similarity coefficient by 0.083 3, demonstrating superior denoising performance. Methane detection results indicated that the noise energy in the frequency band of the denoised signal was significantly reduced, and the useful signal was concentrated in the target frequency band, showing that the improved wavelet threshold denoising algorithm could effectively suppress the noise in the first-harmonic signal.

     

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