Signals and Systems using MATLAB

Signals and Systems using MATLAB

2nd Edition - February 10, 2014

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  • Author: Luis Chaparro
  • eBook ISBN: 9780123948434

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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.

Key Features

  • 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.

Table of Contents

  • Dedication



    1: Introduction

    0: From the Ground Up!

    0.1 Introduction

    0.2 Examples of Signal Processing Applications

    0.3 Continuous or Discrete?

    0.4 Complex or Real?

    0.5 Soft Introduction to MATLAB

    0.6 Problems

    2: Theory and Application of Continuous-Time Signals and Systems

    1: Continuous-time Signals

    1.1 Introduction

    1.2 Classification of Time-Dependent Signals

    1.3 Continuous-Time Signals

    1.4 Representation of Continuous-Time Signals Using Basic Signals

    1.5 Special Signals—the Sampling and the Sinc Signals

    1.6 Basic Signal Operations—Time Scaling, Frequency Shifting, and Windowing

    1.7 What Have We Accomplished? Where Do We Go from Here?

    1.8 Problems

    2: Continuous-time Systems

    2.1 Introduction

    2.2 System Concept and Classification

    2.3 Linear Time-invariant (LTI) Continuous-time Systems

    2.4 Causality

    2.5 Bounded-input Bounded-output (BIBO) Stability

    2.6 What Have We Accomplished? Where Do We Go From Here?

    2.7 Problems

    3: The Laplace Transform

    3.1 Introduction

    3.2 The Two-sided Laplace Transform

    3.3 The One-sided Laplace Transform

    3.4 Properties of the One-sided Laplace Transform

    3.5 Inverse Laplace Transform

    3.6 Analysis of LTI Systems

    3.7 What Have We Accomplished? Where Do We Go from Here?

    3.8 Problems

    4: Frequency Analysis: The Fourier Series

    4.1 Introduction

    4.2 Eigenfunctions Revisited

    4.3 Complex Exponential Fourier Series

    4.4 Response of LTI Systems to Periodic Signals

    4.5 Operations using Fourier Series

    4.6 What have We Accomplished? Where Do We Go from here?

    4.7 Problems

    5: Frequency Analysis: The Fourier Transform

    5.1 Introduction

    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?

    5.10 Problems

    6: Application of Laplace Analysis to Control

    6.1 Introduction

    6.2 System Connections and Block Diagrams

    6.3 Application to Classical Control

    6.4 State-variable Representation of LTI Systems

    6.5 What Have we Accomplished? What is Next?

    6.6 Problems

    7: Fourier Analysis in Communications and Filtering

    7.1 Introduction

    7.2 Application to Communications

    7.3 Analog Filtering

    7.4 What have We Accomplished? What is Next?

    7.5 Problems

    3: Theory and Application of Discrete-Time Signals and Systems

    8: Sampling Theory

    8.1 Introduction

    8.2 Uniform Sampling

    8.3 Practical Aspects of Sampling

    8.4 Application to Digital Communications

    8.5 What Have We Accomplished? Where Do We Go from Here?

    8.6 Problems

    9: Discrete-time Signals and Systems

    9.1 Introduction

    9.2 Discrete-Time Signals

    9.3 Discrete-Time Systems

    9.4 What Have We Accomplished? Where Do We Go From Here?

    9.5 Problems

    10: The Z-transform

    10.1 Introduction

    10.2 Laplace Transform of Sampled Signals

    10.3 Two-sided Z-transform

    10.4 One-sided Z-transform

    10.5 One-sided Z-transform Inverse

    10.6 State-Variable Representation

    10.7 What have we accomplished? Where do we go from here?

    10.8 Problems

    11: Fourier Analysis of Discrete-time Signals and Systems

    11.1 Introduction

    11.2 The Discrete-Time Fourier Transform (DTFT)

    11.3 Fourier Series of Discrete-Time Periodic Signals

    11.4 The Discrete Fourier Transform (DFT)

    11.5 What have we accomplished? Where do we go from here?

    11.6 Problems

    12: Introduction to the Design of Discrete Filters

    12.1 Introduction

    12.2 Frequency Selective Discrete Filters

    12.3 Filter Specifications

    12.4 IIR Filter Design

    12.5 FIR Filter Design

    12.6 Realization of Discrete Filters

    12.7 What Have We Accomplished? Where Do We Go From Here?

    12.8 Problems

    Appendix: Useful Formulas



Product details

  • No. of pages: 880
  • Language: English
  • Copyright: © Academic Press 2014
  • Published: February 10, 2014
  • Imprint: Academic Press
  • eBook ISBN: 9780123948434

About the Author

Luis Chaparro

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.

Affiliations and Expertise

Emeritus Associate Professor, Department of Electrical and Computer Engineering, University of Pittsburgh, PA, USA

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