Fractional wavelet transform for the quantitative spectral resolution of the composite signals of the active compounds in a two-component mixture

Authors:
Erdal Dinç;Dumitru Baleanu
Affiliations:
Department of Analytical Chemistry, Faculty of Pharmacy, Ankara University, 0610 Tandoğan, Ankara, Turkey;Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Balgat, Ankara, Turkey and National Institute for Laser, Plasma and Radiation Physics, Insti ...
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 7
Cited 0

Ten lectures on wavelets

Ten lectures on wavelets
Fractional Splines and Wavelets

SIAM Review
On the initial conditions in continuous-time fractional linear systems

Signal Processing - Special issue: Fractional signal processing and applications
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)

Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
The statistics of the fractional moments: is there any chance to "read quantitatively" any randomness?

Signal Processing - Fractional calculus applications in signals and systems
The fractional spline wavelet transform: definition end implementation

ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
Wavelets, fractals, and radial basis functions

IEEE Transactions on Signal Processing

Quantified Score

Hi-index	0.09

Visualization

Abstract

Fractional calculus is a powerful tool that has been applied successfully for the analysis of the complex systems. One interesting example of a complex mixture is given by the multicomponent pharmaceutical samples having constant matrix content. The main aim of this study is to develop a new approach based on the combined use of the fractional wavelet transform (FWT) and the continuous wavelet transform (CWT) in order to quantify atorvastatin (ATO) and amlodipine (AML) in their mixtures without requiring a chemical pretreatment. In the first step, the absorption spectra of the compounds and their samples were processed by the FWT method. In the next step, the CWT approach was applied to the fractional wavelet spectra obtained in the above step. The aim of the application of FWT is data reduction corresponding to the spectra of compounds and their commercial samples. In the following step, the CWT was used for the quantitative resolution of the composite signals of the analyzed compounds. After method validation, the proposed signal processing methods based on the combined use of the FWT and the CWT were successfully applied to the resolution of the composite spectra for the quantitation of atorvastatin (ATO) and amlodipine (AML) in tablets.