Fourier Domain Processing of General Data Arrays

Abstract

In previous chapters, the Fourier transformation has been discussed from the vantage point of three types of multiplex spectrometers. The reader should be aware, however, that infrared, NMR, and ICR are not the only techniques that utilize Fourier transforms to advantage. X-ray crystallography and holography depend in a fundamental way upon Fourier analysis. Engineers also commonly employ Fourier transforms in the solution of electrical circuit response functions. These nonspectroscopic uses of Fourier transforms have been discussed extensively elsewhere,^(1–3) and it would be impossible to discuss the ramifications of Fourier transforms to even these three areas within the confines of this chapter. These other major uses of Fourier transforms are mentioned at the outset only so the reader is aware that Fourier transforms are applicable to many disciplines besides spectroscopy.