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Fourier Transforms - Approach to Scientific Principles
Edited by Goran Nikolic, ISBN 978-953-307-231-9, Hard cover, 468 pages, Publisher: InTech, Published: April 11, 2011 under CC BY-NC-SA 3.0 license, in subject Mathematics
DOI: 10.5772/650
This book aims to provide information about Fourier transform to those needing to use infrared spectroscopy, by explaining the fundamental aspects of the Fourier transform, and techniques for analyzing infrared data obtained for a wide number of materials. It summarizes the theory, instrumentation, methodology, techniques and application of FTIR spectroscopy, and improves the performance and quality of FTIR spectrophotometers.
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Book contents
- Chapter 1Theoretical Description of the Fourier Transform of the Absolute Amplitude Spectra and Its Applications
- Chapter 2Gaussian and Fourier Transform (GFT) Method and Screened Hartree-Fock Exchange Potential for First-principles Band Structure Calculations
- Chapter 3Low Complexity Fourier Transforms using Multiple Square Waves
- Chapter 4Orbital Stability of Periodic Traveling Wave Solutions
- Chapter 5Approach to Fundamental Properties of the Henstock-Fourier Transform
- Chapter 6Three Dimensional Reconstruction Strategies Using a Profilometrical Approach based on Fourier Transform
- Chapter 7Quadratic Discrete Fourier Transform and Mutually Unbiased Bases
- Chapter 8Orthogonal Discrete Fourier and Cosine Matrices for Signal Processing
- Chapter 9Optimized FFT Algorithm and its Application to Fast GPS Signal Acquisition
- Chapter 10Homogenization of Nonlocal Electrostatic Problems by Means of the Two-Scale Fourier Transform
- Chapter 11Time-resolved Fourier Transform Infrared Emission Spectroscopy: Application to Pulsed Discharges and Laser Ablation
- Chapter 12Weighting Iterative Fourier Transform Algorithm for Kinoform Implemented with Liquid-Crystal SLM
- Chapter 13Two-Dimensional Quaternionic Windowed Fourier Transform
- Chapter 14High Frame Rate Ultrasonic Imaging through Fourier Transform using an Arbitrary Known Transmission Field
- Chapter 15High-Accuracy and High-Security Individual Authentication by the Fingerprint Template Generated Using the Fractional Fourier Transform
- Chapter 16Fourier Transform Mass Spectrometry for the Molecular Level Characterization of Natural Organic Matter: Instrument Capabilities, Applications, and Limitations
- Chapter 17Enhanced Fourier Transforms for X-Ray Scattering Applications
- Chapter 18Fourier Transform on Group-Like Structures and Applications
- Chapter 19Reduced Logic and Low-Power FFT Architectures for Embedded Systems
- Chapter 20The Effect of Local Field Dispersion on the Spectral Characteristics of Nanosized Particles and their Composites
- Chapter 21Fourier Transform Based Hyperspectral Imaging
- Chapter 22Application of Fast Fourier Transform for Accuracy Evaluation of Thermal-Hydraulic Code Calculations
