Data Analysis and Signal Processing in Chromatography

ISBN: 9780444820662 出版年：1998 页码：427 Felinger, A Elsevier Science_RM

Mathematical background. Random variables. Random processes. Fourier analysis. Models of chromatography. Plate models. Mass balance model. General rate model. Statistical model. Asymmetrical peak shapes. Nonlinear chromatography. Extra-column effects. Exponentially modified Gaussian model. Data acquisition. Sampling theorem. Errors of digitalization. Recovery of the analog signal. Practical issues of sampling analytical signals. Quantitation. A/D converters. Peak shape analysis. Empirical peak shape models. Curve fitting to the empirical models. Characterization of peak asymmetry. Comparison of peak shapes. Noise. Noise types and sources. The observed noise. Noise in analytical signals. Noise profile of chromatographic detectors. Signal-to-noise ratio. Computer simulation of noise. Signal enhancement. Digital filters. Filtering in time domain. Ensemble averaging. Correlation techniques. Fourier-domain filtering. Kalman filter. Peak detection. Matched filters. Peak detection by derivatives. Quantitative analysis. Graphical integration of stand-alone peaks. Graphical integration of overlapping peaks. Numerical measurement of peak height and peak area. Accuracy and precision of the measured values. Resolution enhancement. Peak resolution. resolution of overlapping peaks. Peak sharpening. Moment analysis of overlapping peaks. Deconvolution using natural computation. Multivariate signal resolution. Factor analysis. Spectral and chromatographic ratioing. Transform techniques in chromatography. Fourier transform. Other transforms. Information theory. Entropy and information. Entropy of random variables. Information transfer through channels. Information content of quantitative analysis. Maximum entropy method. Quality assurance and validation. Errors associated with analytical measurements. Calibration. Limit of detection. Validation of new analytical methods. Validation of the chromatographic system. Statistical theory of peak overlap. Peak resolution in multicomponent chromatograms. Determination limit. Combinatorial analysis of peak overlap. Random retention pattern. Superposition of retention patterns. Recognition of the retention pattern. Estimating the number of compound families. Multidimensional separations. Order-disorder in multicomponent mixtures. Fourier analysis of multicomponent chromatograms. Power spectrum of multicomponent chromatograms. Power spectrum of a Poissonian chromatogram. Power spectrum for constant peak width. Power spectrum for varying peak width. Autocovariance function of multicomponent chromatograms. Parameter estimation. Determination of the retention pattern by Fourier analysis. Simplified Fourier analysis. Determination of the proper sample size by Fourier analysis.