Fourier transforms in spectroscopy

This book covers all topics about Fourier transform and their use in spectral applications. All important aspects are included with respect to their use with optical spectroscopic data. Some aspects of Fourier self-deconvolution and linear prediction are explained thoroughly for the first time. Starting from the mathematical fundamental, this book is suitable for graduate students as well as scientists and engineers working in this field.

MATHEMATICAL FUNDAMENTALS
Basic definitions
General properties of Fourier transforms
Discrete Fourier transforms
Fast Fourier transforms
Laplace and other integral transforms
SPECTRAL APPLICATIONS
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