Citation: Yuan Zhen ZHOU, Jian Bin ZHENG. Fourier Self-deconvolution Using Approximation Obtained from Frequency Domain Wavelet Transform as a Linear Function[J]. Chinese Chemical Letters, ;2006, 17(3): 380-382. shu

Fourier Self-deconvolution Using Approximation Obtained from Frequency Domain Wavelet Transform as a Linear Function

Institute of Analytical Science/Shaanxi Provincial Key Lab of Electroanalytical Chemistry, Northwest University, Xi'an 710069

Received Date: 22 August 2005

Fund Project: This work was supported by the National Natural Science Foundation of China (No. 20275030) and the Natural Science Foundation of Shaanxi Province in China (No. 2004B20).

A new method of resolving overlapped peak, Fourier self-deconvolution (FSD) using approximation C_N obtained from frequency domain wavelet transform of F(ω) yielded by Fourier transform of overlapped peak signals f(t) as the linear function, was presented in this paper.Compared with classical FSD, the new method exhibits excellent resolution for different overlapped peak signals such as HPLC signals, and have some characteristics such as an extensive applicability for any overlapped peak shape signals and a simple operation because of no selection procedure of the linear function. Its excellent resolution for those different overlapped peak signals is mainly because F(ω) obtained from Fourier transform of f(t) and C_N obtained from wavelet transform of F(ω) have the similar linearity and peak width. The effect of those fake peaks can be eliminated by the algorithm proposed by authors. This method has good potential in the process of different overlapped peak signals.
- Fourier deconvolution,
- wavelet transform,
- signal processing,
- HPLC signal
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