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Physics - Theoretical, Mathematical & Computational Physics | Digital Fourier Analysis: Advanced Techniques

Digital Fourier Analysis: Advanced Techniques

Kido, Ken'iti

2015, XIII, 178 p. 100 illus. in color.

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  • Presents advanced subjects in Fourier analysis -- including cross-correlation, cepstrum analysis and the Hilbert transform -- in a clearly illustrated, accessible manner
  • Interactive animated applets, freely available online, richly illustrate the book and allow the reader to explore the subject dynamically
  • Practice problems are included at the end of each chapter
  • A large number of Appendices provide more detailed derivations and explanations for the interested reader
This textbook is a thorough, accessible introduction to advanced digital Fourier analysis for advanced undergraduate and graduate students. Assuming knowledge of the Fast Fourier Transform, this book covers advanced topics including the Hilbert transform, cepstrum analysis, and the two-dimensional Fourier transform.

Saturated with clear, coherent illustrations, "Digital Fourier Analysis - Advanced Techniques" includes practice problems and thorough Appendices. As a central feature, the book includes interactive applets (available online) that mirror the illustrations. These user-friendly applets animate concepts interactively, allowing the user to experiment with the underlying mathematics. The applet source code in Visual Basic is provided online, enabling advanced students to tweak and change the programs for more sophisticated results.

A complete, intuitive guide, "Digital Fourier Analysis - Advanced Techniques" is an essential reference for students in science and engineering.

Content Level » Upper undergraduate

Keywords » Correlation Functions - Discrete Fourier Transform - Discrete Hilbert Transform - Fast Fourier Transform - Fourier Transform Learning Tools - Fourier Transform in Visual Basic - Numerical Methods in Visual Basic - Sine and Cosine Components - Spectrum Analysis

Related subjects » Analysis - Computational Intelligence and Complexity - Theoretical, Mathematical & Computational Physics - Theoretical Computer Science

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