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Updated: Jun 18, 2026

Chromatographic Fingerprinting by Template Matching for Data Collected by Comprehensive Two-Dimensional Gas Chromatography
Published on: September 2, 2020
Fast frequency template matching using higher order statistics
Fedwa Essannouni1, Driss Aboutajdine
1Faculty of Sciences, Mohamed V Agdal University LRIT, laboratoire associé au CNRST, France. essannouni@hotmail.fr
Abstract:
This correspondence proposes a novel template matching technique using a fourth central moment. The fourth central moment is an established estimator which uses higher order statistics theory, important in the presence of an additive Gaussian noise. By use of some substitutions and complex arithmetic, computation of the fourth central moment is derived from correlation functions of substituting functions. The fourth central moment can be computed using the fast Fourier transform (FFT) approach. Simulation results show that the proposed algorithm performs better than the classical estimators in terms of robustness, while the extra computational cost is negligible.
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