Table Of Content1 Introduction 2 Mathematical Description of Signals 3 Description and Analysis of Systems 4 The Fourier Series 5 The Fourier Transform 6 Fourier Transform Analysis of Signals and Systems 7 Sampling and the Discrete Fourier Transform 8 Correlation, Energy Spectral Density, and Power Spectral Density 9 The Laplace Transform 10 Laplace Transform Analysis of Signals and Systems 11 The z Transform 12 z-Transform Analysis of Signals and Systems Appendix A: Useful Mathematical Relations Appendix B: Introduction to MATLAB Appendix C: Method of Finding Least Common Multiples Appendix D: Convolution Properties Appendix E: Table of Fourier Pairs Appendix F: Table of Laplace Transform Pairs Appendix G: Table of z Transforms Appendix H: Complex Numbers and Complex Functions Appendix I: Differential and Difference Equations Appendix J: Vectors and Matrices
SynopsisAs in most areas of science and engineering, the most important and useful theories are the ones that capture the essence, and therefore the beauty, of physical phenomena. This is true of signals and systems. Signals and Systems: Analysis Using Transform Methods and MATLAB captures the mathematical beauty of signals and systems and offers a student-centered, pedagogically driven approach. The author has a clear understanding of the issues students face in learning the material and does a superior job of addressing these issues. The book is intended to cover a two-semester sequence in Signals and Systems for juniors in engineering.