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.- Class-tested 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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