Fundamentals of Signals and Systems Using the

For a Signals and Systems course in Engineering departments. Developed from Professor Kamen's best-selling text Introduction to Signals and Systems, this forward-looking text presents an accessible yet comprehensive analytical treatment of signals and systems and also incorporates a strong emphasis on solving problems and exploring concepts using MATLAB. A MATLAB tutorial is provided on a disk which is available for student/instructor use, and all examples in the text are developed in terms of the Student Edition of MATLAB ?.

Preface

xi

Fundamental Concepts

1

(56)

Signals and Systems

1

(5)

Continuous-Time Signals

6

(11)

Discrete-Time Signals

17

(8)

Examples of Systems

25

(11)

Basic System Properties

36

(21)

Problems

47

(10)

Systems Defined by Differential or Difference Equations

57

(44)

Linear Input/Output Differential Equations with Constant Coefficients

57

(4)

System Modeling

61

(5)

Linear Input/Output Difference Equations with Constant Coefficients

66

(6)

Discretization in Time of Differential Equations

72

(8)

Systems Defined by Time-Varying or Nonlinear Equations

80

(21)

Problems

88

(13)

Convolution Representation

101

(44)

Convolution Representation of Linear Time-Invariant Discrete-Time Systems

101

(3)

Convolution of Discrete-Time Signals

104

(10)

Convolution Representation of Linear Time-Invariant Continuous-Time Systems

114

(4)

Convolution of Continuous-Time Signals

118

(10)

Numerical Convolution

128

(4)

Linear Time-Varying Systems

132

(13)

Problems

134

(11)

The Fourier Series and Fourier Transform

145

(57)

Representation of Signals in Terms of Frequency Components

146

(7)

Fourier Series Representation of Periodic Signals

153

(8)

Fourier Transform

161

(14)

Properties of the Fourier Transform

175

(15)

Generalized Fourier Transform

190

(12)

Problems

193

(9)

Frequency-Domain Analysis of Systems

202

(49)

Response to a Sinusoidal Input

203

(7)

Response to Periodic Inputs

210

(6)

Response to Aperiodic Inputs

216

(5)

Analysis of Ideal Filters

221

(10)

Sampling

231

(20)

Problems

238

(13)

Application to Communications

251

(46)

Analog Modulation

252

(8)

Demodulation of Analog Signals

260

(4)

Simultaneous Transmission of Signals

264

(4)

Digital Modulation

268

(4)

Baseband PAM

272

(4)

Passband PAM

276

(6)

Digital Communication Simulations

282

(15)

Problems

289

(8)

Fourier Analysis of Discrete-Time Signals and Systems

297

(61)

Discrete-Time Fourier Transform

298

(12)

Discrete Fourier Transform

310

(12)

Properties of the DFT

322

(9)

System Analysis via the DTFT and DFT

331

(8)

FFT Algorithm

339

(2)

Applications of the FFT Algorithm

341

(17)

Problems

349

(9)

The Laplace Transform and the Transfer Function Representation

358

(77)

Laplace Transform of a Signal

359

(4)

Properties of the Laplace Transform

363

(11)

Computation of the Inverse Laplace Transform

374

(20)

Transfer of the Input/Output Differential Equation

394

(7)

Transfer Function Representation

401

(14)

Transform of Block Diagrams

415

(20)

Problems

423

(12)

System Analysis Using the Transfer Function Representation

435

(74)

Stability and the Impulse Response

436

(3)

Routh-Hurwitz Stability Test

439

(4)

Analysis of the Step Response

443

(16)

Response to Sinusoids and Arbitrary Inputs

459

(6)

Frequency Response Function

465

(19)

Causal Filters

484

(25)

Problems

498

(11)

Application to Control

509

(46)

Introduction to Control

509

(7)

Tracking Control

516

(11)

Root Locus

527

(8)

Application to Control System Design

535

(20)

Problems

543

(12)

The z-Transform and Discrete-Time Systems

555

(57)

z-Transform of a Discrete-Time Signal

556

(4)

Properties of the z-Transform

560

(11)

Computation of the Inverse z-Transform

571

(10)

Transfer Function Representation

581

(12)

Stability of Discrete-Time Systems

593

(4)

Frequency Response of Discrete-Time Systems

597

(15)

Problems

601

(11)

Design of Digital Filters and Controllers

612

(43)

Discretization

613

(5)

Design of IIR Filters

618

(5)

Design of IIR Filters Using MATLAB

623

(7)

Design of FIR Filters

630

(13)

Design of Digital Controllers

643

(12)

Problems

649

(6)

State Representation

655

(48)

State Model

656

(3)

Construction of State Models

659

(8)

Solution of State Equations

667

(9)

Discrete-Time Systems

676

(7)

Equivalent State Representations

683

(6)

Discretization of State Model

689

(14)

Problems

692

(11)

Appendix A Brief Review of Complex Variables

703

(5)

Appendix B Brief Review of Matrices

708

(6)

Bibliography

714

(3)

Index

717

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Fundamentals of Signals and Systems Using the Web and MATLAB®

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