Skip to main content

Fourier Transforms in Spectroscopy



Fourier Transforms in Spectroscopy

Jyrki Kauppinen, Jari Partanen

ISBN: 978-3-527-63501-6 February 2011 271 Pages


This modern approach to the subject is clearly and logically structured, and gives readers an understanding of the essence of Fourier transforms and their applications. All important aspects are included with respect to their use with optical spectroscopic data.
Based on popular lectures, the authors provide the mathematical fundamentals and numerical applications which are essential in practical use. The main part of the book is dedicated to applications of FT in signal processing and spectroscopy, with IR and NIR, NMR and mass spectrometry dealt with both from a theoretical and practical point of view. Some aspects, linear prediction for example, are explained here thoroughly for the first time.
Basic definitions
General properties of Fourier transforms
Discrete Fourier transforms
Fast Fourier transforms
Laplace and other integral transforms
Fourier transform spectroscopy
Fourier transform nuclear magnetic resonance (NMR) spectrometry
FT ion cyclotron resonance mass spectrometry
Diffraction and Fourier transform
Uncertainty principle
Signal processing
Fourier self-deconvolution
Linear Prediction