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(a) Wavelet decomposition tree: Signal X id decomposed into several sets of approximations and details coefficients, cA and cD respectively. The process is repeated by decomposing the approximate coefficients cA at each level upto the desired level. (b) Extinction spectrum of glucose (blue) with reconstructions based on approximations only (red) and details only (brown).
Iteration scheme: Original data series (blue) with reconstruction based on details only (brown), and modified details (dotted cyan) and input data for next iteration.
(a) Value of V for first four iterations, (b) input data series for first four iterations, (c) convergence condition, and (d) scattering corrected spectrum after optimum number of iterations.
Scattering baseline estimation and reduction—(a) for glucose and PE sample and (b) for lactose and PE sample, with measured spectrum in blue, scattering baseline estimate in red, scattering reduced spectrum in black, scattering free/limited reference for glucose (after Walter et al. 25 scaled to 1/45) and scattering free/limited reference for lactose (scaled to 1/3) in grey.
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