Linear Dynamic Systems and Signals

by Gajic, Zoran

• ISBN13: 9780201618549
• ISBN10: 0201618540
• Edition: 1st
• Format: Paperback
• Copyright: 2002-08-07
• Publisher: Prentice Hall
• More Book Details
• Purchase Benefits

Summary

This book, intended for the sophomore junior level, presents both continuous- and discrete-time linear systems and signals. Divided into three major parts: Frequency-domain approach to linear dynamic systems and signals Time-domain approach to linear dynamic systems Linear systems and signals approach to electrical engineering (digital signal processing, communications, electrical circuits, and control systems) Key Features: Flexible organization All linear system concepts are introduced in the frequency domain and then interpreted in the time domain Requires only elementary knowledge of linear algebra and differential equations Detailed coverage of the frequency domain transforms Detailed coverage of the convolution concept Detailed coverage of the state-space technique Self-study guide on linear dynamics systems and signals provides the foundation for other junior-senior courses in engineering (electrical, computer, biomedical, mechanical, and aerospace) MATLAB laboratory experiments after each chapter Numerous real-world examples from diverse areas of engineering: electrical, mechanical, biomedical, aerospace, industrial, computer networks and economics Companion Web site contains all MATLAB programs and numerical data for examples, problems, and MATLAB-oriented laboratory experiments

Author Biography

Zoran Gajic. Professor Zoran Gajic has been teaching linear systems, controls, and networking courses in the Electrical and Computer Engineering Department at Rutgers University, New Jersey since 1984. He is the author or coauthor of more than fifty journal papers, primarily published in IEEE Transactions on Automatic Control and IFAC Automatica journals, and seven books in the fields of linear and bilinear control systems published by Academic Press, Prentice Hall International, Marcel Dekker, and Springer Verlag. Professor Gajic has delivered two plenary lectures at international conferences and presented almost 100 conference papers. He serves on the editorial board of the journal Dynamics of Continuous, Discrete, and Impulsive Systems, and has been a guest editor of a special issue of that journal, on control systems technology. Professor Gajic received the B.S. and M.S. degrees in Electrical Engineering from the University of Belgrade, and the M.S. degree in Applied Mathematics and the Ph.D. degree in Systems Science Engineering from Michigan State University. He is a life master of the U.S. Chess Federation and a master of the World Chess Federation.

Table of Contents

Preface
About the Author
Introduction to Linear Systems	p. 1
Introduction to Signals	p. 33
Frequency Domain Techniques	p. 71
Fourier Series and Fourier Transform	p. 73
Laplace Transform	p. 143
Z-Transform	p. 208
Time Domain Techniques	p. 277
Convolution	p. 279
System Response in the Time Domain	p. 318
State Space Approach	p. 388
Linear Systems In Electrical Engineering	p. 457
Signals in Digital Signal Processing	p. 459
Signals in Communication Systems	p. 507
Linear Electrical Circuits	p. 538
Linear Control Systems	p. 569
Linear Algebra	p. 611
Some Results from Calculus	p. 619
Introduction to MATLAB	p. 622
Introduction to Simulink	p. 633
Index	p. 637
Table of Contents provided by Blackwell. All Rights Reserved.

Excerpts

This textbook is intended for college sophomores and juniors whose electrical engineering programs include linear systems and signals courses. It can be also used by other engineering students interested in linear dynamic systems and signals--especially biomedical, aerospace, mechanical, and industrial engineering students. The text is based on the author's sixteen years of teaching linear systems and signals to undergraduate and graduate students in the Department of Electrical and Computer Engineering, Rutgers University.In the electrical engineering curriculum, a course in linear dynamic systems and signals is a prerequisite for courses in control systems, communication systems, and digital signal processing. In addition, many problems in wireless communications, networking, signal processing, electronics, photonics, and robotics are now studied from the dynamic system point of view. The book presents both continuous- and discrete-time linear systems and signals. Historically, teachers and students have first studied continuous-time phenomena, and then applied the results to the discrete-time domain. However, with the development of modern computers, discrete-time analysis is increasingly dominant, especially from the application and computation points of view. Furthermore, some phenomena are much easier to explain and understand in the discrete-time domain than in the continuous-time domain, since discrete-time linear systems are represented by simple recursive formulas.It should be emphasized that this textbook reflects the most recent changes in electrical and computer engineering curricula at U.S. universities. Due to the increased number of computer engineering courses over the last 15 years, and due to newly introduced senior level courses in wireless communications, networking, photonics, and signal processing, some courses in classical electrical engineering areas have had to be modified, condensed, combined, or even eliminated. These changes primarily affected courses in the principles of electrical engineering, electrical circuits, systems and signals, control systems, electromagnetic fields, communication systems, electronics, power systems, and related courses. The modification of linear systems and signals courses has gone in two directions: (a) teaching it at the sophomore level, as the course on signals and time-frequency transforms, with little emphasis on system dynamics (in general, sophomore students do not have sufficient knowledge of differential equations); (b) teaching it as a junior (or even senior) level course with emphasis on system dynamics, and including some topics from electrical circuits, feedback systems, communications, and signal processing. This textbook has taken a twofold approach: Chapters 2-6 and 9-10 have been written in the direction of (a), and Chapters 1, 7-8, and 11-12 have been written in the direction of (b).The book is divided into three major parts: 1) the frequency domain approach to linear dynamic systems; 2) the time domain approach to linear dynamic systems; and 3) the linear system approach to electrical engineering. An introduction to continuous- and discrete-time signals is presented in Chapter 2. Signal transforms (Fourier, Laplace, and Z-transform) are presented in Chapters 3-5. The Fourier series and Fourier transform are presented in Chapter 3 in the continuous-time domain. Chapter 9 gives a full coverage of the discrete-time Fourier transform and its variants. The time domain approach to linear systems presents continuous- and discrete-time convolution (Chapter 6), methods for solving differential and difference equations (Chapter 7), and continuous- and discrete-time state space approaches (Chapter 8). Additional topics on signals in digital signal processing and communication systems are presented in Chapters 9 and 10. Instructors intending to teach a lineardynamicsystems course should be able to cover most of Chapters 1-8