安庆师范大学学报（自然科学版）2026，Vol.32Issue(2)：39-46,8.DOI:10.13757/j.cnki.cn34-1328/n.2026.02.006
基于分数阶无理低通滤波的光谱信号降噪方法研究
Research on Spectral Signal Denoising Method Based on Fractional-Order Irrational Low-Pass Filter
摘要
Abstract
Accurate spectral signal analysis serves as an essential foundation for qualitative identification and quantitative detection of trace gases.Nevertheless,spectral acquisition is susceptible to various noise interferences,which degrades the de-tection precision of trace gases.This paper proposes a spectral signal denoising method based on a fractional-order irrational low-pass filter.This method introduces four key indicators commonly used in the engineering field that passband deviation,stopband deviation,passband cut-off frequency,and stopband cut-off frequency-to construct the mathematical model of the fil-tering algorithm.The parameters of the filtering model are optimized by employing the multi-objective optimization function in MATLAB.The transfer function of the fractional-order irrational filter with optimal parameters is given.Furthermore,the hardware implementation circuit of the fractional-order irrational low pass filtering model is built with Multisim to verify the engineering feasibility.Meanwhile,the designed filtering method is applied to the denoising of spectral signals and compara-tive experiments are conducted with the Savitzky-Golay(S-G)filtering method,Kalman filtering method,and wavelet trans-form method.The experimental results indicate that the signal-to-noise ratio of the spectral data processed by our algorithm ex-hibits an 8.44 times improvement compared to the unprocessed data,verifying the effectiveness and superiority of the pro-posed method in spectral signal denoising.关键词
光谱信号/分数阶算子/截止频率/电路/MATLABKey words
spectral signal/fractional-order operator/cut-off frequency/circuit/MATLAB分类
信息技术与安全科学引用本文复制引用
张雨停,郭玉祥,袁鹏,马宏亮,查申龙..基于分数阶无理低通滤波的光谱信号降噪方法研究[J].安庆师范大学学报（自然科学版）,2026,32(2):39-46,8.基金项目
国家自然科学基金项目(62205005)和安徽省高校科研计划重点项目(2024AH051112) （62205005）
