This new textbook in signals and systems provides a pedagogically rich approach to what can commonly be a mathematically dry subject. With features like historical notes, highlighted common mistakes, and applications in controls, communications, and signal processing, Chaparro helps students appreciate the usefulness of the techniques described in the book. Each chapter contains a section with MatLab applications.
- Pedagogically rich introduction to signals and systems using historical notes, pointing out "common mistakes", and relating concepts to realistic examples throughout to motivate learning the material
- Introduces both continuous and discrete systems early, then studies each (separately) in more depth later
- Extensive set of worked examples and homework assignments, with applications to controls, communications, and signal processing throughout
- Provides review of all the background math necessary to study the subject
- MatLab applications in every chapter
2nd and 3rd year Electrical/Computer Engineering students in Signals and Systems.
Teaching Using this Text
To the Student
Resources that Accompany This Book
Part 1: Introduction
Chapter 0. From the Ground Up!
0.1 Signals and Systems and Digital Technologies
0.2 Examples of Signal Processing Applications
0.3 Analog or Discrete?
0.4 Complex or Real?
0.5 Soft Introduction to MATLAB
Part 2: Theory and Application of Continuous-Time Signals and Systems
Chapter 1. Continuous-Time Signals
1.2 Classification of Time-Dependent Signals
1.3 Continuous-Time Signals
1.4 Representation Using Basic Signals
1.5 What Have We Accomplished? Where Do We Go from Here?
Chapter 2. Continuous-Time Systems
2.2 System Concept
2.3 LTI Continuous-Time Systems
2.4 What Have We Accomplished? Where Do We Go from Here?
Chapter 3. The Laplace Transform
3.2 The Two-Sided Laplace Transform
3.3 The One-Sided Laplace Transform
3.4 Inverse Laplace Transform
3.5 Analysis of LTI Systems
3.6 What have We Accomplished? Where Do We Go from Here?
Chapter 4. Frequency Analysis: The Fourier Series
4.2 Eigenfunctions Revisited
4.3 Complex Exponential Fourier Series
4.4 Line Spectra
4.5 Trigonometric Fourier Series
4.6 Fourier Coefficients from Laplace
4.7 Convergence of the Fourier Series
4.8 Time and Frequency Shifting
4.9 Response of LTI Systems to Periodic Signals
4.10 Other Properties of the Fourier Series
4.11 What Have We Accomplished? Where Do We Go from Here?
Chapter 5. Frequency Analysis: The Fourier Transform
5.2 From the Fourier Series to the Fourier Transform
5.3 Existence of the Fourier Transform
5.4 Fourier Transforms from the Laplace Transform
5.5 Linearity, Inverse Proportionality, and Duality
5.6 Spectral Representation
5.7 Convolution and Filtering
5.8 Additional Properties
5.9 What have we Accomplished? What is Next?
Chapter 6. Application to Control and Communications
6.2 System Connections and Block Diagrams
6.3 Application to Classic Control
6.4 Application to Communications
6.5 Analog Filtering
6.6 What have we accomplished? What is next?
Part 3: Theory and Application of Discrete-Time Signals and Systems
Chapter 7. Sampling Theory
7.2 Uniform Sampling
7.3 The Nyquist-Shannon Sampling Theorem
7.4 Practical Aspects of Sampling
7.5 What Have We Accomplished? Where Do We Go from Here?
Chapter 8. Discrete-Time Signals and Systems
8.2 Discrete-Time Signals
8.3 Discrete-Time Systems
8.4 What have we accomplished? Where do we go from here?
Chapter 9. The Z-Transform
9.2 Laplace Transform of Sampled Signals
9.3 Two-Sided Z-Transform
9.4 One-Sided Z-Transform
9.5 One-Sided Z-Transform Inverse
9.6 What Have We Accomplished? Where Do We Go from Here?
Chapter 10. Fourier Analysis of Discrete-Time Signals and Systems
10.2 Discrete-Time Fourier Transform
10.3 Fourier Series of Discrete-Time Periodic Signals
10.4 Discrete Fourier Transform
10.5 What Have We Accomplished? Where Do We Go from Here?
Chapter 11. Introduction to the Design of Discrete Filters
11.2 Frequency-Selective Discrete Filters
11.3 Filter Specifications
11.4 IIR Filter Design
11.5 FIR Filter Design
11.6 Realization of Discrete Filters
11.7 What have we Accomplished? Where do we go from here?
Chapter 12. Applications of Discrete-Time Signals and Systems
12.2 Application to Digital Signal Processing
12.3 Application to Sampled-Data and Digital Control Systems
12.4 Application to Digital Communications
12.5 What Have We Accomplished? Where Do We Go from Here?
Appendix. Useful Formulas
- No. of pages:
- © Academic Press 2011
- 30th September 2010
- Academic Press
- eBook ISBN:
- Hardcover ISBN:
Dr. Chaparro's research interests include statistical signal processing, time-frequency analysis, nonlinear image processing and multidimensional system theory. He is a senior Member of IEEE, Associate Editor of the Journal of the Franklin Institute, past Associate Editor of the IEEE Transaction on Signal Processing and member of the IEEE Technical Committee on Statistical Signal and Array Processing
Emeritus Associate Professor, Department of Electrical and Computer Engineering, University of Pittsburgh, PA, USA