Signals and Systems

1 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