Wavelet Transform

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Elzanfaly, E. S., S. A. Hassan, M. Y. Salem, and B. A. El-Zeany, "Continuous Wavelet Transform, a powerful alternative to Derivative Spectrophotometry in analysis of binary and ternary mixtures: A comparative study", Spectrochimica Acta Part A: Molecular and Biomolecular Spectroscopy, vol. 151: Elsevier, pp. 945-955, 2015. AbstractAbstract.pdfWebsite

A comparative study was established between two signal processing techniques showing the theoretical
algorithm for each method and making a comparison between them to indicate the advantages and
limitations. The methods under study are Numerical Differentiation (ND) and Continuous Wavelet
Transform (CWT). These methods were studied as spectrophotometric resolution tools for simultaneous
analysis of binary and ternary mixtures. To present the comparison, the two methods were applied for
the resolution of Bisoprolol (BIS) and Hydrochlorothiazide (HCT) in their binary mixture and for the
analysis of Amlodipine (AML), Aliskiren (ALI) and Hydrochlorothiazide (HCT) as an example for ternary
mixtures. By comparing the results in laboratory prepared mixtures, it was proven that CWT technique
is more efficient and advantageous in analysis of mixtures with severe overlapped spectra than ND.
The CWT was applied for quantitative determination of the drugs in their pharmaceutical formulations
and validated according to the ICH guidelines where accuracy, precision, repeatability and robustness
were found to be within the acceptable limit.