Fundamentals of Signals and Systems Using the Web and MATLAB

by Edward Kamen

Overview

With a strong emphasis on solving problems and exploring concepts, this guidebook delivers an accessible yet comprehensive introduction to continuous-time and discrete-time signals and systems. KEY TOPICS: Discusses how to download signals (time series) from the Web and analyze the data. Includes details on common types of digital filters, such as moving average and exponential moving average filters, with applications to filtering data downloaded from the Web. Addresses signal analysis using the DFT to extract the dominant cyclic components of a signal. Addresses the issue of noise, which often arises in engineering, business, finance, and other fields. For those interested in learning more about signals and systems.

Product Details

ISBN-13:	9780131687370
Publisher:	Pearson Education
Publication date:	07/11/2006
Edition description:	REV
Pages:	672
Product dimensions:	7.30(w) x 9.40(h) x 1.60(d)

Table of Contents

Preface

1 FUNDAMENTAL CONCEPTS

1.1 Continuous-Time Signals

1.2 Discrete-Time Signals

1.3 Systems

1.4 Examples of Systems

1.5 Basic System Properties

1.6 Chapter Summary

Problems

2 TIME-DOMAIN MODELS OF SYSTEMS

2.1 Input/Output Representation of Discrete-Time Systems

2.2 Convolution of Discrete-Time Signals

2.3 Difference Equation Models

2.4 Differential Equation Models

2.5 Solution of Differential Equations

2.6 Convolution Representation of Continuous-Time Systems

2.7 Chapter Summary

Problems

3 THE FOURIER SERIES AND FOURIER TRANSFORM

3.1 Representation of Signals in Terms of Frequency Components

3.2 Trigonometric Fourier Series

3.3 Complex Exponential Series

3.4 Fourier Transform

3.5 Spectral Content of Common Signals

3.6 Properties of the Fourier Transform

3.7 Generalized Fourier Transform

3.8 Application to Signal Modulation and Demodulation

3.9 Chapter Summary

Problems

4 FOURIER ANALYSIS OF DISCRETE-TIME SIGNALS

4.1 Discrete-Time Fourier Transform

4.2 Discrete Fourier Transform

4.3 DFT of Truncated Signals

4.4 FFT Algorithm

4.5 Application to Data Analysis

4.6 Chapter Summary

Problems

5 FOURIER ANALYSIS OF SYSTEMS

5.1 Fourier Analysis of Continuous-Time Systems

5.2 Response to Periodic and Nonperiodic Inputs

5.3 Analysis of Ideal Filters

5.4 Sampling

5.5 Fourier Analysis of Discrete-Time Systems

5.6 Application to Lowpass Digital Filtering

5.7 Chapter Summary

Problems

6 THE LAPLACE TRANSFORM AND THE TRANSFER FUNCTION REPRESENTATION

6.1 Laplace Transform of a Signal

6.2 Properties of the Laplace Transform

6.3 Computation of the Inverse Laplace Transform

6.4 Transform of the Input/Output Differential Equation

6.5 Transform of the Input/Output Convolution Integral

6.6 Direct Construction of the Transfer Function

6.7 Chapter Summary

Problems

7 THE z-TRANSFORM AND DISCRETE-TIME SYSTEMS

7.1 z-Transform of a Discrete-Time Signal

7.2 Properties of the z-Transform

7.3 Computation of the Inverse z-Transform

7.4 Transfer Function Representation

7.5 System Analysis Using the Transfer Function Representation

7.6 Chapter Summary

Problems

8 ANALYSIS OF CONTINUOUS-TIME SYSTEMS USING THE TRANSFER FUNCTION REPRESENTATION

8.1 Stability and the Impulse Response

8.2 Routh—Hurwitz Stability Test

8.3 Analysis of the Step Response

8.4 Response to Sinusoids and Arbitrary Inputs

8.5 Frequency Response Function

8.6 Causal Filters

8.7 Chapter Summary

Problems

9 APPLICATION TO CONTROL

9.1 Introduction to Control

9.2 Tracking Control

9.3 Root Locus

9.4 Application to Control System Design

9.5 Chapter Summary

Problems

10 DESIGN OF DIGITAL FILTERS AND CONTROLLERS

10.1 Discretization

10.2 Design of IIR Filters

10.3 Design of IIR Filters Using MATLAB

10.4 Design of FIR Filters

10.5 Design of Digital Controllers

10.6 Chapter Summary

Problems

11 STATE REPRESENTATION

11.1 State Model

11.2 Construction of State Models

11.3 Solution of State equations

11.4 Discrete-Time Systems

11.5 Equivalent State Representations

11.6 Discretization of State Model

11.7 Chapter Summary

Problems

APPENDIX A BRIEF REVIEW OF COMPLEX VARIABLES

APPENDIX B BRIEF REVIEW OF MATRICES

BIBLIOGRAPHY

INDEX