
Fourier Transform and Its Applications Using Microsoft EXCEL (R) (Second Edition)
Description
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The Fourier transform (FT) converts a waveform into a representation characterized by sinusoidal function. It is one of the most powerful and useful mathematical tools and it has applications to numerous physics and engineering applications. There are many textbooks on FT focusing on its mathematical theory, however, in order to acquire the knowledge and skill to conduct FT analysis, students of science and engineering need to practice realistic examples through which they can confirm and understand FT theories.
This book demonstrates Microsoft EXCEL®-based Fourier transform of selected physics examples, as well as describing spectral density of the auto-regression process in relation to Fourier transform. Rather than offering rigorous mathematics, the book provides readers with an opportunity to gain an understanding of Fourier transform through the examples. They will acquire and analyze their own data following the step-by-step procedure outlined, and a hands-on acoustic spectral analysis is suggested as the ideal long-term student project.
This new edition updates and greatly expands upon the first, with additional examples and exercises in various application domains as well as a new chapter on Quantum random walks and Fourier analysis.
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Shinil Cho attended Rikkyo University in Tokyo, Japan, for his BS degree; Seoul National University in Seoul, Korea, for his MS; and the Ohio State University in Ohio, USA, for his PhD. He held post-doctoral fellowships at the Ohio State University and University of Florida, and he was also a visiting professor at University of South Carolina. He has been at La Roche University since 1995. Currently he is a professor at La Roche. He has conducted research in cryogenic magnetic resonance spectroscopy below 1 K and biometric fingerprint authentication. His current research interest includes quantum computation, biometrics, and physics education. Other than physics, he has many publications and has done many presentations on biometrics in London, Gothenburg, Tokyo, Hongkong, Singapore, and several cities in the United States.
Content
Preface
Acknowledgments
Author biography
1 The principle of superposition and the Fourier series
2 The Fourier transform
3 Hands-on Fourier transform using EXCEL®
4 Applications of Fourier transforms
5 Quantum Fourier transform
6 Beyond the Fourier transform spectroscopy
Appendix A
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