Table of Contents

1 Introduction 2 Mathematical Description of Continuous-Time Signals 3 Mathematical Description of Discrete-Time Signals 4 Properties of Continuous-Time Systems 5 Properties of Discrete-Time Systems 6 Time-Domain Analysis of Continuous-Time Systems 7 Time-Domain Analysis of Discrete-Time Systems 8 The Continuous-Time Fourier Series 9 The Discrete-Time Fourier Series 10 The Continuous-Time Fourier Transform 11 The Discrete-Time Fourier Transform 12 Continuous-Time Fourier Transform Analysis of Signals and Systems 13 Discrete-Time Fourier Transform Analysis of Signals and Systems 14 Sampling and the Discrete Fourier Transform 15 The Laplace Transform 16 The z Transform Appendix A: Useful Mathematical Relations Appendix B: The Continuous-Time Fourier Series Pairs Appendix C: Discrete-Time Fourier Series Pairs Appendix D: Continuous-Time Fourier Transform Pairs Appendix E: Discrete-Time Fourier Transform Pairs Appendix F: Laplace Transform Pairs Appendix G: z Transform Pairs