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A method of approximate fractional order differentiation with noise immunity.
- Source :
-
Chemometrics & Intelligent Laboratory Systems . May2015, Vol. 144, p31-38. 8p. - Publication Year :
- 2015
-
Abstract
- In order to successfully apply differentiation to quantitative analytical applications, it is important to develop a method of differentiation with noise immunity to optimize the signal-to-noise ratio. Therefore, a direct method for the approximate fractional order differentiation (FOD) of a noised signal is proposed. Using the proposed method, arbitrary order differentiation of a signal can be realized by the convolution between the fractional order differentiation of the Gaussian function and the noised signal, and the integer order differentiation is just a special case of the FOD. The proposed method is verified by comparing the FOD of the noise and noise-free peak-signals. Moreover, the proposed method is used to enhance a mass spectrum signal and locate the position of each peak. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01697439
- Volume :
- 144
- Database :
- Academic Search Index
- Journal :
- Chemometrics & Intelligent Laboratory Systems
- Publication Type :
- Academic Journal
- Accession number :
- 102455349
- Full Text :
- https://doi.org/10.1016/j.chemolab.2015.03.009