Nonuniform sampling for spectral and related applications

摘要

A method for deriving a spectrum of a substance in such a manner as to enhance a specified characteristic of the spectrum. Irregular intervals are chosen in the signal domain for sampling the signal. The irregular intervals may be randomly spaced. The signal is sampled at the irregular intervals and transformed into the transform domain through application of a transform algorithm, such as a fast orthogonal search, capable of accommodating an irregularly sampled signal. Interferometric spectrometers having parallel optical paths with irregularly spaced phase delays are provided for the practice of the claimed method.