Applied Fourier Analysis : From Signal Processing to Medical Imaging. 1st ed. 2017

種類:

電子ブック

責任表示:

by Tim Olson

出版情報:

New York, NY : Springer New York : Imprint: Birkhäuser, 2017

著者名:

• Olson, Tim.
• SpringerLink (Online service)

ISBN:

9781493973934 [1493973932]    

注記:

Introduction: From Linear Algebra to Linear Analysis -- Basic Fourier Series -- The Discrete Fourier Transform -- The Fourier Transform -- Sampling and Interpolation -- Digital Communications -- Radar Processing -- Image Processing -- Medical Imaging -- Partial Differential Equations.
The first of its kind, this focused textbook serves as a self-contained resource for teaching from scratch the fundamental mathematics of Fourier analysis and illustrating some of its most current, interesting applications, including medical imaging and radar processing. Developed by the author from extensive classroom teaching experience, it provides a breadth of theory that allows students to appreciate the utility of the subject, but at as accessible a depth as possible. With myriad applications included, this book can be adapted to a one or two semester course in Fourier Analysis or serve as the basis for independent study. Applied Fourier Analysis assumes no prior knowledge of analysis from its readers, and begins by making the transition from linear algebra to functional analysis. It goes on to cover basic Fourier series and Fourier transforms before delving into applications in sampling and interpolation theory, digital communications, radar processing, medical i maging, and heat and wave equations. Fo

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