Book description
Fourier Transforms: Principles and Applications explains transform methods and their applications to electrical systems from circuits, antennas, and signal processors—ably guiding readers from vector space concepts through the Discrete Fourier Transform (DFT), Fourier series, and Fourier transform to other related transform methods. Featuring chapter end summaries of key results, over two hundred examples and four hundred homework problems, and a Solutions Manual this book is perfect for graduate students in signal processing and communications as well as practicing engineers. Classtested at Dartmouth
 Provides the same solid background as classic texts in the field, but with an emphasis on digital and other contemporary applications to signal and image processing
 Modular coverage of material allows for topics to be covered by preference
 MATLAB files and Solutions Manual available to instructors
 Over 300 figures, 200 worked examples, and 432 homework problems
Table of contents
 Preface
 Chapter 1: Review of Prerequisite Mathematics
 Chapter 2: Vector Spaces
 Chapter 3: The Discrete Fourier Transform

Chapter 4: The Fourier Series
 4.1 Sinusoids and Physical Systems
 4.2 Definitions and Interpretation
 4.3 Convergence of the Fourier Series
 4.4 Fourier Series Properties and Theorems
 4.5 The Heat Equation
 4.6 The Vibrating String
 4.7 Antenna Arrays
 4.8 Computing the Fourier Series
 4.9 Discrete Time Fourier Transform
 4.10 Summary
 Problems
 Notes

Chapter 5: The Fourier Transform
 5.1 From Fourier Series to Fourier Transform
 5.2 Basic Properties and Some Examples
 5.3 Fourier Transform Theorems
 5.4 Interpreting the Fourier Transform
 5.5 Convolution
 5.6 More About the Fourier Transform
 5.7 Time–Bandwidth Relationships
 5.8 Computing the Fourier Transform
 5.9 ∗ Time–Frequency Transforms
 5.10 Summary
 Problems
 Notes
 Chapter 6: Generalized Functions
 Chapter 7: Complex Function Theory

Chapter 8: Complex Integration
 8.1 Line Integrals in the Plane
 8.2 The Basic Complex Integral:
 8.3 Cauchy's Integral Theorem
 8.4 Cauchy's Integral Formula
 8.5 Laurent Series and Residues
 8.6 Using Contour Integration to Calculate Integrals of Real Functions
 8.7 Complex Integration and the Fourier Transform
 8.8 Summary
 Problems
 Notes
 Chapter 9: Laplace, Z, and Hilbert Transforms
 Chapter 10: Fourier Transforms in Two and Three Dimensions
 Bibliography
 Index
 End User License Agreement
Product information
 Title: Fourier Transforms
 Author(s):
 Release date: September 2014
 Publisher(s): Wiley
 ISBN: 9781118479148
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