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Summary
Summary
This text provides a clear, comprehensive presentation of both the theory and applications in signals, systems, and transforms. The text presents the mathematical background of signals and systems, including the Fourier transform, the Fourier series, the Laplace transform, the discrete-time and the discrete Fourier transforms, and the z-transform. The contents of each chapter are organized into well-defined units that allow instructors great flexibility in course emphasis.*NEW-MATLAB programs given in the examples are available at an Internet site and may be downloaded. Allows students to alter the data statements in these programs for the end-of-chapter problems. *NEW-Symbolic mathematics of MATLAB is used in verifying the calculations of transforms and in other appropriate applications. *NEW-Introduces the MATLAB simulation program SIMULINK to illustrate the simulation of continuous and discrete time systems. *NEW-Features many new problems; a majority of the end-of-chapter problems have either been altered or replaced. More than 50% of problems have been revised overall. *NEW-Contains short MATLAB programs in most examples. *Relates the mathematical theory of systems and signals
Table of Contents
1 Introduction |
2 Continuous-Time Signals and Systems |
3 Continuous-Time Linear Time-Invariant Systems |
4 Fourier Series |
5 The Fourier Transform |
6 Applications of the Fourier Transform |
7 The Laplace Transform |
8 State Variables for Continuous-Time Systems |
9 Discrete-Time Signals and Systems |
10 Discrete-Time Linear Time-Invariant Systems |
11 The z-Transform |
12 Fourier Transforms of Discrete-Time Signals |
13 State Variables for Discrete-Time Systems |
Appendix A Integrals and Trigonometric Identities |
Appendix B Leibnitz's and L'Hospital's Rules |
Appendix C Summation Formulas for Geometric Series |
Appendix D Complex Numbers and Euler's Relation |
Appendix E Solution of Differential Equations |
Appendix F Partial-Fraction Expansions |
Appendix G Review of Matrices |
Index |