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Signals and Systems using MATLAB

Book Description

This new textbook in Signals and Systems provides a pedagogically-rich approach to what can oftentimes be a mathematically 'dry' subject. Chaparro introduces both continuous and discrete time systems, then covers each separately in depth. Careful explanations of each concept are paired with a large number of step by step worked examples. 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

Table of Contents

  1. Cover image
  2. Table of Contents
  3. Front Matter
  4. Copyright
  5. Dedication
  6. Preface
  7. Acknowledgements
  8. Chapter 0. From the Ground Up!
    1. 0.1. Signals and Systems and Digital Technologies
    2. 0.2. Examples of Signal Processing Applications
    3. 0.3. Analog or Discrete?
    4. 0.4. Complex or Real?
    5. 0.5. Soft Introduction to MATLAB
  9. Chapter 1. Continuous-Time Signals
    1. 1.1. Introduction
    2. 1.2. Classification of Time-Dependent Signals
    3. 1.3. Continuous-Time Signals
    4. 1.4. Representation Using Basic Signals
    5. 1.5. What Have We Accomplished? Where Do We Go from Here?
  10. Chapter 2. Continuous-Time Systems
    1. 2.1. Introduction
    2. 2.2. System Concept
    3. 2.3. LTI Continuous-Time Systems
    4. 2.4. What Have We Accomplished? Where Do We Go from Here?
  11. Chapter 3. The Laplace Transform
    1. 3.1. Introduction
    2. 3.2. The Two-Sided Laplace Transform
    3. 3.3. The One-Sided Laplace Transform
    4. 3.4. Inverse Laplace Transform
    5. 3.5. Analysis of LTI Systems
    6. 3.6. What have We Accomplished? Where Do We Go from Here?
  12. Chapter 4. Frequency Analysis
    1. 4.1. Introduction
    2. 4.2. Eigenfunctions Revisited
    3. 4.3. Complex Exponential Fourier Series
    4. 4.4. Line Spectra
    5. 4.5. Trigonometric Fourier Series
    6. 4.6. Fourier Coefficients from Laplace
    7. 4.7. Convergence of the Fourier Series
    8. 4.8. Time and Frequency Shifting
    9. 4.9. Response of LTI Systems to Periodic Signals
    10. 4.10. Other Properties of the Fourier Series
    11. 4.11. What Have We Accomplished? Where Do We Go from Here?
  13. Chapter 5. Frequency Analysis
    1. 5.1. Introduction
    2. 5.2. From the Fourier Series to the Fourier Transform
    3. 5.3. Existence of the Fourier Transform
    4. 5.4. Fourier Transforms from the Laplace Transform
    5. 5.5. Linearity, Inverse Proportionality, and Duality
    6. 5.6. Spectral Representation
    7. 5.7. Convolution and Filtering
    8. 5.8. Additional Properties
    9. 5.9. What have we Accomplished? What is Next?
  14. Chapter 6. Application to Control and Communications
    1. 6.1. Introduction
    2. 6.2. System Connections and Block Diagrams
    3. 6.3. Application to Classic Control
    4. 6.4. Application to Communications
    5. 6.5. Analog Filtering
    6. 6.6. What have we accomplished? What is next?
  15. Chapter 7. Sampling Theory
    1. 7.1. Introduction
    2. 7.2. Uniform Sampling
    3. 7.3. The Nyquist-Shannon Sampling Theorem
    4. 7.4. Practical Aspects of Sampling
    5. 7.5. What Have We Accomplished? Where Do We Go from Here?
  16. Chapter 8. Discrete-Time Signals and Systems
    1. 8.1. Introduction
    2. 8.2. Discrete-Time Signals
    3. 8.3. Discrete-Time Systems
    4. 8.4. What have we accomplished? Where do we go from here?
  17. Chapter 9. The Z-Transform
    1. 9.1. Introduction
    2. 9.2. Laplace Transform of Sampled Signals
    3. 9.3. Two-Sided Z-Transform
    4. 9.4. One-Sided Z-Transform
    5. 9.5. One-Sided Z-Transform Inverse
    6. 9.6. What Have We Accomplished? Where Do We Go from Here?
  18. Chapter 10. Fourier Analysis of Discrete-Time Signals and Systems
    1. 10.1. Introduction
    2. 10.2. Discrete-Time Fourier Transform
    3. 10.3. Fourier Series of Discrete-Time Periodic Signals
    4. 10.4. Discrete Fourier Transform
    5. 10.5. What Have We Accomplished? Where Do We Go from Here?
  19. Chapter 11. Introduction to the Design of Discrete Filters
    1. 11.1. Introduction
    2. 11.2. Frequency-Selective Discrete Filters
    3. 11.3. Filter Specifications
    4. 11.4. IIR Filter Design
    5. 11.5. FIR Filter Design
    6. 11.6. Realization of Discrete Filters
    7. 11.7. What have we Accomplished? Where do we go from here?
  20. Chapter 12. Applications of Discrete-Time Signals and Systems
    1. 12.1. Introduction
    2. 12.2. Application to Digital Signal Processing
    3. 12.3. Application to Sampled-Data and Digital Control Systems
    4. 12.4. Application to Digital Communications
    5. 12.5. What Have We Accomplished? Where Do We Go from Here?
  21. Appendix. Useful Formulas
  22. References
  23. Index