Fourier transform and its applications using Microsoft EXCEL® /

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 un...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cho, Shinil (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2018]
Colección:IOP (Series). Release 5.
IOP concise physics.
Temas:
Microsoft Excel (Computer file)
Fourier transformations > Data processing.
Transformations (Mathematics) > Data processing.
Applied physics.
SCIENCE / Applied Sciences.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 basis
  • 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
  • 3. 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 transform
  • 4. 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 mechanics
  • 5. Beyond the Fourier transform spectroscopy
  • 5.1. LP method
  • 5.2. ME method
  • 5.3. LPC examples
  • 5.4. LPC cepstrum.

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