TY  - BOOK
AU  - Cho,Shinil
ED  - Institute of Physics (Great Britain),
TI  - Fourier transform and Its applications using Microsoft Excel
T2  - [IOP release $release]
SN  - 9780750360449
AV  - QC20.7.F67 C564 2023eb
PY  - 2023///]
CY  - Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK)
PB  - IOP Publishing
KW  - Microsoft Excel (Computer file)
KW  - Fourier transformations
KW  - Data processing
KW  - Transformations (Mathematics)
KW  - Mathematical physics
KW  - bicssc
KW  - SCIENCE / Physics / Mathematical & Computational
KW  - bisacsh
N1  - "Version: 20231101"--Title page verso; Includes bibliographical references; part 1. Foundation and Hands-on experiment of Fourier transform. 1. The principle of superposition and the Fourier series -- 1.1. The principle of superposition -- 1.2. One-dimensional standing wave -- 1.3. Fourier series -- 1.4. Orthonormal basis -- 1.5. Heat and diffusion equations -- 1.6. Two-dimensional standing wave and two-dimensional Fourier series; 2. The Fourier transform -- 2.1. From the Fourier series to the Fourier transform -- 2.2. Practical computational issues of the Fourier transform -- 2.3. Discrete Fourier transform and fast Fourier transform -- 2.4. Linear response theory -- 2.5. Cepstrum; 3. Hands-on Fourier transform using EXCEL� -- 3.1. Data acquisition -- 3.2. Computational steps to perform EXCEL's Fourier transform -- 3.3. The effect of the windowing function -- 3.4. Peak peeking -- 3.5. Demonstration of N-point FFT from two (N/2)-point FFTs -- 3.6. Inverse Fourier transform -- 3.7. Acoustic spectra; part 2. Advanced theories and topics on Fourier transform. 4. Applications of Fourier transform in physics -- 4.1. Electronic circuits -- 4.2. Telecommunication signals -- 4.3. Spectroscopy -- 4.4. Optics -- 4.5. Stochastic processes and Fourier transform -- 4.6. Solving diffusion equation using Fourier transform -- 4.7. Quantum mechanics; 5. Quantum Fourier transforms -- 5.1. Quantum Fourier transform used by Shor's algorithm -- 5.2. Quantum Fourier transform used in quantum walks; 6. Beyond the Fourier transform spectroscopy -- 6.1. LP method -- 6.2. ME method -- 6.3. LPC examples -- 6.4. LPC cepstrum; Professional and scholarly; Also available in print
N2  - 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
UR  - https://iopscience.iop.org/book/mono/978-0-7503-6044-9
ER  -