Fractional wavelet transform-continous wavelet transform for the quantification of melatonin and its photodegradation product

Abstract

In this study a new signal processing approach based on the simultaneous use of fractional and continuous wavelet transforms was suggested for the quantitative estimation of melatonin and its photodegradation products in their samples. The UV spectra of melatonin and its degradation product were recorded between 200.0 and 455.0 nm and processed by the fractional wavelet algorithm. The obtained fractional wavelet coefficients were treated by biorthogonal and symplets wavelet families in order to quantify melatonic and its photodegradation product, respectively. The calibration graphs for the related main compound and its degradation product were obtained by measuring the fractional-continuous wavelet amplitudes at 432.0 nm for melatonin and 435.0 nm for its degradation product. The validity and applicability of the double transforms based on fractional and continuous wavelets were confirmed by analyzing various synthetic mixtures of melatonin and its degradation product. Successful results were reported in the application of the improved fractional-continuous wavelet transform to the sample analysis.