4th ed. — Pearson Education, 2008. — 795 p.
The basic structure and philosophy of the previous editions of
Signals, Systems, and Transforms are retained in the fourth edition. New examples have been added and some examples have been revised to demonstrate key concepts more clearly. The wording of passages throughout the text has been revised to ease reading and improve clarity. In particular, we have revised the development of convolution and the Discrete Fourier Transform. Biographical information about selected pioneers in the fields of signal and system analysis has been added in the appropriate chapters. References have been removed from the end of each chapter and are collected in Appendix I.
Many end-of-chapter problems have been revised and numerous new problems are provided. Several of these new problems illustrate real-world concepts in digital communications, filtering, and control theory. The end-of-chapter problems have been organized so that multiple similar problems are provided. The answer to at least one of each set of similar problems is provided in Appendix H. The intent is to allow students to develop confidence by gaining immediate feedback about their understanding of new material and concepts. All MatLAB examples have been updated to ensure compatibility with the Student Version Release 14.
A companion web site at http://www.ee.washington.edu/class/SST_textbook/textbook.html contains sample laboratories, lecture notes for Chapters 1-7 and Chapters 9-12, and the MatLAB files listed in the textbook as well as several additional MatLAB files. It also contains a link to a second web site at http://www.ee.washington.edu/class/235dl/, which contains interactive versions of the lecture notes for Chapters 1-7. Here, students and professors can find worked out solutions to all the examples in the lecture notes, as well as animated demonstrations of various concepts including transformations of continuous-time signals, properties of continuous-time systems (including numerous examples on time-invariance), convolution, sampling, and aliasing. Additional examples for discrete- time material will be added as they are developed.
This book is intended to be used primarily as a text for junior-level students in engineering curricula and for self-study by practicing engineers. It is assumed that the reader has had some introduction to signal models, system models, and differential equations (as in, for example, circuits courses and courses in mathematics), and some laboratory work with physical systems.
The authors have attempted to consistently differentiate between signal and system models and physical signals and systems. Although a true understanding of this difference can be acquired only through experience, readers should understand that there are usually significant differences in performance between physical systems and their mathematical models.
We have attempted to relate the mathematical results to physical systems that are familiar to the readers (for example, the simple pendulum) or physical systems that students can visualize (for example, a picture in a picture for television). The descriptions of these physical systems, given in Chapter 1, are not complete in any sense of the word; these systems are introduced simply to illustrate practical applications of the mathematical procedures presented.
Generally, practicing engineers must, in some manner, validate their work. To introduce the topic of validation, the results of examples are verified, using different procedures, where practical. Many homework problems require verification of the results. Hence, students become familiar with the process of validating their own work.
Continuous-Time Signals and Systems
Continuous-Time Linear Time-Invariant Systems
Fourier Series
The Fourier Transform
Applications of the Fourier Transform
The Laplace Transform
State Variables for Continuous-Time Systems
Discrete-Time Signals and Systems
Discrete-Time Linear Time-Invariant Systems
The z-Transform
Fourier Transforms of Discrete-Time Signals
State Variables for Discrete-Time Systems
Appendices:Integrals and Trigonometric Identities
Leibnitz’s and L’Hopital’s Rules
Summation Formulas for Geometric Series
Complex Numbers and Euler’s Relation
Solution of Differential Equations
Partial-Fraction Expansions
Review of Matrices
Answers to Selected Problems
Signals and Systems References