A wavelet transform and its application to spectroscopic analysis

作者：Shao LM; Lin XQ; Shao XG^*

来源：Applied Spectroscopy Reviews, 2002, 37(4): 429-450.

DOI：10.1081/ASR-120016391

• wavelet transform
• spectral analysis
• de-noising
• resolution
• derivative
• data compression

An introduction to the wavelet transform and its applications in spectroscopy analysis are presented. Owing to the property of the dual localization both in time and in frequency domains, the wavelet transform exhibits several useful characteristics. With the wavelet transform a signal call be decomposed into series of contributions according to the frequency difference, these contributions are respectively called discrete, approximations and discrete details. By applying certain treatment to the discrete approximations (the low frequency part) or the discrete details (the high frequency part). a part of the original signal within a certain frequency range can be obtained. The wavelet transform has been applied in various fields of the analytical chemistry, including removal of high frequency noise, information extraction, resolution of overlapping signals, and data compression etc, Research concerning application in analytical chemistry are Introduced in respect of photoacoustic spectroscopy. EXAFS spectrum. NMR analysis, and Raman spectrum.

• 出版日期2002
• 单位中国科学技术大学