Spurious principal components in the set of spectra subjected to disturbances: I. Presentation of the problem

摘要: Abstract It has been shown that a kind of imperfections which can be met in spectrometers, or small shifts the recorded lines, influence properties spectra sets such way number principal components (PCs) necessary to describe non-noisy part total variance set increases compared when disturbances are absent. The additional (spurious) PCs depends on magnitude and signal-to-noise ratio (SNR). mechanism generates spurious is discussed, criterion enabling an evaluation effect becomes important, given. Numerical simulations enabled inference empirical relationship between PCs, imperfections, SNR. Finally, procedure proposed check if spectrometer free discussed.