Fractional-order differentiation of the Gaussian function for processing overlapped peaks
1College of Information and Control, Nanjing University of Information Science & Technology, Nanjing 210044, P. R. China. yunalu_li@yahoo.com.cn
Abstract:
The resolution method for overlapped peaks based on fractional-order differentiation (FOD) of the Gaussian function is described. Its main idea stems from a variation of the maximum and the zero-crossing of the Gaussian peaks signal at different differential orders. I obtained two kinds of estimators for estimating the characteristic parameters of the Gaussian peak based on the above relationship. The resolution of several kinds of overlapped peaks simulated by computer has been performed and discussed in detail. The proposed method has been used to resolve overlapped voltammetric peaks obtained in the analysis of binary mixtures of Cd(II) and In(III) metal ions. The results indicate that the proposed method can be used to resolve overlapped peaks which can be modeled by the Gaussian peaks both effectively and satisfactorily.
Related Concept Videos
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule
¹H NMR Signal Integration: Overview
Properties of DTFT II
The frequency differentiation property is illustrated by considering a DTFT pair and differentiating both sides with respect to ω. Multiplying by j...
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)
¹H NMR: Complex Splitting
Splitting diagrams or splitting tree diagrams are routinely used to depict such complex couplings. While drawing splitting diagrams, the splitting with the larger coupling constant is usually applied first.

