Fourier transform and its applications using Microsoft EXCELª /

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"Version: 20181001"--Title page verso."A Morgan & Claypool publication as part of IOP Concise Physics"--Title page verso.Includes bibliographical references.1. The principle of superposition and the Fourier series -- 1.1. The principle of superposition -- 1.2. Wave equations -- 1.3. Fourier series -- 1.4. Orthonormal basis2. 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 transform3. The EXCEL-based Fourier transform -- 3.1. Data acquisition -- 3.2. Fourier transform -- 3.3. The effect of windowing function -- 3.4. Peak peeking -- 3.5. 2N-point FFT from N-point FFTs -- 3.6. Inverse Fourier transform4. The Fourier transform in physics -- 4.1. Examples of acoustic spectra -- 4.2. Electronic circuits -- 4.3. Telecommunication signals -- 4.4. Spectroscopy -- 4.5. Fourier transform in optics -- 4.6. Quantum mechanics5. Beyond the Fourier transform spectroscopy -- 5.1. LP method -- 5.2. ME method -- 5.3. LPC examples -- 5.4. LPC cepstrum.This book demonstrates Microsoft EXCELª-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.Also available in print.Mode of access: World Wide Web.System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.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 for his PhD. He held post-doctoral fellowships at the Ohio State University and University of Florida, and was a visiting professor at University of South Carolina. He has been at La Roche College since 1995, where he is currently an Associate Professor. His current research interest includes quantum computation, biometrics, and physics education.Title from PDF title page (viewed on November 8, 2018).

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: .,

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1 online resource (various pagings) :illustrations (some color).

Language

English

ISBN/ISSN

9781643272863

Classification

515/.723

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Subject(s)

SCIENCE / Applied Sciences.
Applied physics.
Fourier transformations
Transformations (Mathematics)

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Shinil Cho.

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