Fractional Wavelet Transform-Continuous Wavelet Transform for the quantification of Melatonin and its photodegradation product

In this study a new signal processing approach based on the simultaneous use of fractional and continuous wavelet transforms were suggested for the quantitative estimation of melatonin and its photodegradation products in their samples. The UV spectra of melatonin and its degradation product were recoreded between 200- 455 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-continuos wavelet amplitudes at 432 nm for melatonin and 435 nm for its degradation product. The validity and applicability of the double transforms based on of fractional and continuous wavelets were confirmd by analyzing various synthetic mixtures of malatonin and its degradation product. Successfful results were reported in the application of the improved fractionalcontinuous wavelet transform to the sample analysis.