A chromatogram decomposition method and its associated calibration for quantitative analysis

We present a new chromatogram decomposition method for Gas Chromatography (GC) which represents a chromatogram as a sum of template functions inspired by the analytic solution of mass balance equation. The proposed method starts by approximating GC response of a single gas by these template functions. Consequently, it utilizes the temporal translation and dilation of this approximate response to approximate GC responses of other gases of interest. The results are demonstrated on lab data using calibration bottles containing mixtures of C₁-C₅. Correlation of the amplitudes of the decomposed responses and injected concentrations indicates linear calibration curves are sufficient to estimate C₁-C₅ concentrations. The performance of the method is demonstrated by a ratio test where a calibration bottle with C₁ concentration 300 times larger than C₂ and C₃ concentrations is injected into GC.