Regression coefficients, Fourier

Like the scores in PCA, the Fourier coefficients can be used as a new compressed representation of the data, and thus can be directly used with regression techniques to provide quantitative prediction models.30... [Pg.248]

The WA plot is shown in Figure 13.8 for the stabilized-zirconia powder of Figure 13.7 In(Ai) is plotted as a function of for three reflections of the (0//) family, (Oil), (022) and (033). According to Equation (18), from the intercept and slope of the regression lines, respectively, size Fourier coefficients and microstrain can be obtained for different Fourier lengths, L. [Pg.390]

M higher harmonics. Ifcm, m = 0, 1, 2... denote the complex coefficients of the Fast Fourier Transformation, then the inverse transformation gives us the regression map... [Pg.1640]

The Onsager regression hypothesis(20, 21) proposes that the relaxation of a macroscopically imposed concentration gradient and the relaxation of a transient concentration fluctuation should be governed by the same transport coefficient D. The application of this hypothesis to light scattering is straightforward. QELSS observes fluctuations in the th spatial Fourier component a (t) of the scat-terer concentration, which as a macroscopically nonuniform concentration can be written... [Pg.77]

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