A novel method to calculate the approximate derivative photoacoustic spectrum using continuous wavelet transform
A novel method to calculate the approximate derivative photoacoustic spectrum using continuous wavelet transform
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DOI：
10.1007/s002160000404
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发表时间：
2000-07-01
期刊：
影响因子：
--
通讯作者：
Su, QD
中科院分区：
文献类型：
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作者：
Shao, XG;Pang, CY;Su, QD
提出了一种基于Haar小波函数的连续小波变换(CWT)分析信号近似导数计算的新方法，并成功地应用于光声信号的处理。通过对信号进行n次小波变换，可以得到解析信号的近似n阶导数。将传统的数值微分法、傅立叶变换方法、Savitzky-Golay方法和离散小波变换(DWT)方法的结果与CWT方法进行了比较，结果表明，对于无噪声信号，CWT方法的结果基本相同，但对于有噪声信号，CWT方法优于前四种方法。Pr(Gly)(3)Cl-3的光声光谱的近似一阶和二阶导数。3H2O和PrCl3。用所提出的连续波变换方法得到了6H2O，结果令人满意。
A novel method based on continuous wavelet transform (CWT) using Haar wavelet function for approximate derivative calculation of analytical signals is proposed and successfully used in processing the photoacoustic signal. An approximate nth derivative of an analytical signal can be obtained by applying n times of the wavelet transform to the signal. The results obtained from four other different methods - the conventional numerical differentiation, the Fourier transform method, the Savitzky-Golay method, and the discrete wavelet transform (DWT) method - were compared with the proposed CWT method; it was demonstrated that all the results are almost the same for signals without noise, but the proposed CWT method is superior to the former four methods for noisy signals. The approximate first and second derivative of the photoacoustic spectrum of Pr(Gly)(3)Cl-3. 3 H2O and PrCl3. 6 H2O were obtained using the proposed CWT method; the results are satisfactory.