Open access peer-reviewed Edited Volume

Fourier Transforms

Approach to Scientific Principles

Edited by Goran Nikolic

University of Niš

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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Fourier TransformsApproach to Scientific PrinciplesEdited by Goran Nikolic

Published: April 11th 2011

DOI: 10.5772/650

ISBN: 978-953-307-231-9

eBook (PDF) ISBN: 978-953-51-4502-8

Copyright year: 2011

Books open for chapter submissions

78988 Total Chapter Downloads

15 Crossref Citations

57 Web of Science Citations

55 Dimensions Citations


Open access peer-reviewed

1. Theoretical Description of the Fourier Transform of the Absolute Amplitude Spectra and Its Applications

By Levente Csoka and Vladimir Djokovic


Open access peer-reviewed

2. Gaussian and Fourier Transform (GFT) Method and Screened Hartree-Fock Exchange Potential for First-principles Band Structure Calculations

By Tomomi Shimazaki and Yoshihiro Asai


Open access peer-reviewed

3. Low Complexity Fourier Transforms using Multiple Square Waves

By Khoirul Anwar and Minoru Okada


Open access peer-reviewed

4. Orbital Stability of Periodic Traveling Wave Solutions

By Jaime Angulo Pava and Fábio Natali


Open access peer-reviewed

5. Approach to Fundamental Properties of the Henstock-Fourier Transform

By Fco. Javier Mendoza Torres, J. Alberto Escamilla Reyna and Ma. Guadalupe Raggi Cárdenas


Open access peer-reviewed

6. Three Dimensional Reconstruction Strategies Using a Profilometrical Approach based on Fourier Transform

By Pedraza-Ortega Jesus Carlos, Gorrostieta-Hurtado Efren, Aceves-Fernandez Marco Antonio, Sotomayor-Olmedo Artemio, Ramos-Arreguin Juan Manuel, Tovar-Arriaga Saul and Vargas-Soto Jose Emilio


Open access peer-reviewed

7. Quadratic Discrete Fourier Transform and Mutually Unbiased Bases

By Maurice R. Kibler


Open access peer-reviewed

8. Orthogonal Discrete Fourier and Cosine Matrices for Signal Processing

By Daechul Park and Moon Ho Lee


Open access peer-reviewed

9. Optimized FFT Algorithm and its Application to Fast GPS Signal Acquisition

By Lin Zhao, Shuaihe Gao, Jicheng Ding and Lishu Guo


Open access peer-reviewed

10. Homogenization of Nonlocal Electrostatic Problems by Means of the Two-Scale Fourier Transform

By Niklas Wellander


Open access peer-reviewed

11. Time-resolved Fourier Transform Infrared Emission Spectroscopy: Application to Pulsed Discharges and Laser Ablation

By Svatopluk Civiš and Vladislav Chernov


Open access peer-reviewed

12. Weighting Iterative Fourier Transform Algorithm for Kinoform Implemented with Liquid-Crystal SLM

By Alexander Kuzmenko, Pavlo Iezhov and Jin-Tae Kim


Open access peer-reviewed

13. Two-Dimensional Quaternionic Windowed Fourier Transform

By Mawardi Bahri and Ryuichi Ashino


Open access peer-reviewed

14. High Frame Rate Ultrasonic Imaging through Fourier Transform using an Arbitrary Known Transmission Field

By Hu Peng


Open access peer-reviewed

15. High-Accuracy and High-Security Individual Authentication by the Fingerprint Template Generated Using the Fractional Fourier Transform

By Reiko Iwai and Hiroyuki Yoshimura


Open access peer-reviewed

16. Fourier Transform Mass Spectrometry for the Molecular Level Characterization of Natural Organic Matter: Instrument Capabilities, Applications, and Limitations

By Rachel L. Sleighter and Patrick G. Hatcher


Open access peer-reviewed

17. Enhanced Fourier Transforms for X-Ray Scattering Applications

By Benjamin Poust and Mark Goorsky


Open access peer-reviewed

18. Fourier Transform on Group-Like Structures and Applications

By Massoud Amini, Mehrdad Kalantar, Hassan Myrnouri and Mahmood M. Roozbahani


Open access peer-reviewed

19. Reduced Logic and Low-Power FFT Architectures for Embedded Systems

By Erdal Oruklu, Jafar Saniie and Xin Xiao


Open access peer-reviewed

20. The Effect of Local Field Dispersion on the Spectral Characteristics of Nanosized Particles and their Composites

By T.S. Perova, I.I. Shaganov and K. Berwick


Open access peer-reviewed

21. Fourier Transform Based Hyperspectral Imaging

By Marco Q. Pisani and Massimo E. Zucco


Open access peer-reviewed

22. Application of Fast Fourier Transform for Accuracy Evaluation of Thermal-Hydraulic Code Calculations

By Andrej Prošek and Matjaž Leskovar


Edited Volume and chapters are indexed in

  • Worldcat
  • OpenAIRE
  • Google Scholar
  • AZ ebsco
  • Base
  • CNKI
  • BKCI

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