Abstract
In research and development laboratories, chemical or pharmaceutical analysis has been carried out by evaluating sample signals obtained from instruments. However, the qualitative and quantitative determination based on raw signals may not be always possible due to sample complexity. In such cases, there is a need for powerful signal processing methodologies that can effectively process raw signals to get correct results. Wavelet transform is one of the most indispensable and popular signal processing methods currently used for noise removal, background correction, differentiation, data smoothing and filtering, data compression and separation of overlapping signals etc. This review article describes the theoretical aspects of wavelet transform (i.e., discrete, continuous and fractional) and its characteristic applications in UV spectroscopic analysis of pharmaceuticals.
Highlights
In experimental studies, instruments or devices can provide signals in different formats e.g., spectrum, chromatogram, voltammogram, and electroferogram etc
With reference to the above-mentioned review, the aim of this paper is to describe the fundamentals of wavelet transform (WT) methodologies and its typical implementations for UV spectroscopic analysis of pharmaceuticals
The application of continuous wavelet transform (CWT)-ZC approach to UV spectroscopic signals was first proposed by Dinç and Baleanu (2003a)
Summary
Instruments or devices can provide signals (or graphs) in different formats e.g., spectrum, chromatogram, voltammogram, and electroferogram etc. For a given mother wavelet (Daubechies, 1992) ψ (x) by the scaling parameter and shifting parameter o fψ (x), a set of functions expressed by ψa,b (x) is obtained from the following equation. The application of CWT-ZC approach to UV spectroscopic signals was first proposed by Dinç and Baleanu (2003a).
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