Abstract
Using a wavelet function as the filter function of Fourier self-deconvolution, a new method of resolving overlapped peaks, wavelet-Fourier self-deconvolution, is founded. The properties of different wavelet deconvolution functions are studied. In addition, a cutoff value coefficient method of eliminating artificial peaks and wavelet method of removing shoulder peaks using the ratio of maximum peak to minimum peak is established. As a result, some problems in classical Fourier self-deconvolution are solved, such as the bad result of denoising, complicated processing, as well as usual appearance of artificial and shoulder peaks. Wavelet-Fourier self-deconvolution is applied to determination of multi-components in oscillographic chronopotentiometry. Experimental results show that the method has characteristics of simpler process and better effect of processing.
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Refernece
Jyrki, K. K., Douglas, J. M., Henry, H. M. et al., Fourier self-deconvolution: A method for resolving intrinsically over- lapped bands, Applied Spectroscopy, 1981, 35(3): 271.
Jyrki, K. K., Douglas, J. M., David, G. C. et al., Noise in Fourier self-deconvolution, Applied Optics, 1981, 20(10): 1865.
Kalkandjev, T. K., Petrov, V. P., Nickolov, J. B., Deconvolution versus derivative spectroscopy, Applied Spectroscopy, 1989, 43(1): 44.
Xu Xiaofeng, Zhao Mingsheng, Hu Xinyao, Comparison of wavelet transform and Fourier transform deconvolution in re- solving spectra peaks, Computers and Applied Chemistry, 1998, 15(3): 153.
Yan Li, Mo Jinyuan, A study on application of a new real time extend wavelet filter to process electroanalytical signal, Chinese Science Bulletin, 1995, 40(17): 1567.
Zheng Jianbin, Zhong Hongbo, Zhang Hongquan. et al., Application of wavelet transform to recover useful information from 2nd order differential oscillographic chronopotentiometric-signal, Chinese J. Anal. Chem. (in Chinese), 1998, 26(1): 25.
Zheng Jianbin, Zhang Hongquan, Zhang Xiuqi et al., Investigation on application wavelet transform in processing of oscillographic chronopotentiometric signal, J. Jilin Teachers College (in Chinese), 1998, 19(5): 61.
Zhong Hongbo, Zheng, Jianbin; Pan Zhongxiao et al., Investigation on application of wavelet tansform to recover useful information from oscillographic chronopotentiometric signal, Chemical Journal of Chinese Universities (in Chinese), 1998 19(4) 547.
Zheng Jianbin, Zhang Shuling, Gu Wenliang et al., A differential method based on spline wavelet transform, Chemical Journal of Chinese Universities (in Chinese), 1999, 20(Supplement): 447.
Xong Xiaoyun, Wavelet transform—a new method of processing signal, Applied Technique of Electronics (in Chinese), 1998, (1): 4.
Zheng Jianbin, Fu Yewei, Li Yuan et al., Investigation on 3.5 order differential oscillographic chronopotentiometry, Chemical Journal of Chinese Universities (in Chinese), 1998, 19(3): 368.
Zheng Jianbin, Gao Hong, Investigation on multi-function oscillographic chronopotentiometric instrument, Journal of Northwest University (in Chinese), 1997, 27(5): 389.
Zheng Jianbin, Gao Hong, Adjustment of oscillogram in oscillographic determination, J. Northwest University (in Chinese), 1995, 25(4): 209.
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Jianbin, Z., Hongquan, Z. & Hong, G. Wavelet-Fourier self-deconvolution. Sc. China Ser. B-Chem. 43, 1–9 (2000). https://doi.org/10.1007/BF03028843
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DOI: https://doi.org/10.1007/BF03028843