769 Pages · 6.34 mb ·
Engineering Tutorials
- Front cover (Page 1) - Signals and Systems Using MATLAB® (Page 2) - Copyright page (Page 3) - Dedication (Page 4) - Table of contents (Page 5) - Preface (Page 12) - Acknowledgments (Page 17) - Part 1: Introduction (Page 18) - Chapter 0. From the Ground Up! (Page 20) - 0.1 Signals and Systems and Digital Technologies (Page 20) - 0.2 Examples of Signal Processing Applications (Page 22) - 0.3 Analog or Discrete? (Page 26) - 0.4 Complex or Real? (Page 37) - 0.5 Soft Introduction to MATLAB (Page 46) - Problems (Page 70) - Part 2: Theory and Application of Continuous-Time Signals and Systems (Page 80) - Chapter 1. Continuous-Time Signals (Page 82) - 1.1 Introduction (Page 82) - 1.2 Classification of Time-Dependent Signals (Page 83) - 1.3 Continuous-Time Signals (Page 84) - 1.4 Representation Using Basic Signals (Page 102) - 1.5 What Have We Accomplished? Where Do We Go from Here? (Page 123) - Problems (Page 125) - Chapter 2. Continuous-Time Systems (Page 134) - 2.1 Introduction (Page 134) - 2.2 System Concept (Page 135) - 2.3 LTI Continuous-Time Systems (Page 136) - 2.4 What Have We Accomplished? Where Do We Go from Here? (Page 173) - Problems (Page 174) - Chapter 3. The Laplace Transform (Page 182) - 3.1 Introduction (Page 182) - 3.2 The Two-Sided Laplace Transform (Page 183) - 3.3 The One-Sided Laplace Transform (Page 193) - 3.4 Inverse Laplace Transform (Page 214) - 3.5 Analysis of LTI Systems (Page 231) - 3.6 What Have We Accomplished? Where Do We Go from Here? (Page 243) - Problems (Page 243) - Chapter 4. Frequency Analysis: The Fourier Series (Page 254) - 4.1 Introduction (Page 254) - 4.2 Eigenfunctions Revisited (Page 255) - 4.3 Complex Exponential Fourier Series (Page 262) - 4.4 Line Spectra (Page 265) - 4.5 Trigonometric Fourier Series (Page 268) - 4.6 Fourier Coefficients from Laplace (Page 272) - 4.7 Convergence of the Fourier Series (Page 282) - 4.8 Time and Frequency Shifting (Page 287) - 4.9 Response of LTI Systems to Periodic Signals (Page 290) - 4.10 Other Properties of the Fourier Series (Page 296) - 4.11 What Have We Accomplished? Where Do We Go from Here? (Page 306) - Problems (Page 307) - Chapter 5. Frequency Analysis: The Fourier Transform (Page 316) - 5.1 Introduction (Page 316) - 5.2 From the Fourier Series to the Fourier Transform (Page 317) - 5.3 Existence of the Fourier Transform (Page 319) - 5.4 Fourier Transforms from the Laplace Transform (Page 319) - 5.5 Linearity, Inverse Proportionality, and Duality (Page 321) - 5.6 Spectral Representation (Page 330) - 5.7 Convolution and Filtering (Page 344) - 5.8 Additional Properties (Page 361) - 5.9 What have We Accomplished? What is next? (Page 367) - Problems (Page 367) - Chapter 6. Application to Control and Communications (Page 376) - 6.1 Introduction (Page 376) - 6.2 System Connections and Block Diagrams (Page 377) - 6.3 Application to Classic Control (Page 380) - 6.4 Application to Communications (Page 394) - 6.5 Analog Filtering (Page 407) - 6.6 What Have We Accomplished? What is next? (Page 426) - Problems (Page 426) - Part 3: Theory and Application of Discrete-Time Signals and Systems (Page 434) - Chapter 7. Sampling Theory (Page 436) - 7.1 Introduction (Page 436) - 7.2 Uniform Sampling (Page 437) - 7.3 The Nyquist-Shannon Sampling Theorem (Page 454) - 7.4 Practical Aspects of Sampling (Page 456) - 7.5 What Have We Accomplished? Where Do We Go from Here? (Page 463) - Problems (Page 464) - Chapter 8. Discrete-Time Signals and Systems (Page 468) - 8.1 Introduction (Page 468) - 8.2 Discrete-Time Signals (Page 469) - 8.3 Discrete-Time Systems (Page 495) - 8.4 What Have We Accomplished? Where Do We Go from Here? (Page 519) - Problems (Page 519) - Chapter 9. The Z-Transform (Page 528) - 9.1 Introduction (Page 528) - 9.2 Laplace Transform of Sampled Signals (Page 529) - 9.3 Two-Sided Z-Transform (Page 532) - 9.4 One-Sided Z-Transform (Page 538) - 9.5 One-Sided Z-Transform Inverse (Page 559) - 9.6 What Have We Accomplished? Where Do We Go from Here? (Page 581) - Problems (Page 581) - Chapter 10. Fourier Analysis of Discrete-Time Signals and Systems (Page 588) - 10.1 Introduction (Page 588) - 10.2 Discrete-Time Fourier Transform (Page 589) - 10.3 Fourier Series of Discrete-Time Periodic Signals (Page 613) - 10.4 Discrete Fourier Transform (Page 631) - 10.5 What Have We Accomplished? Where Do We Go from Here? (Page 645) - Problems (Page 646) - Chapter 11. Introduction to the Design of Discrete Filters (Page 656) - 11.1 Introduction (Page 656) - 11.2 Frequency-Selective Discrete Filters (Page 658) - 11.3 Filter Specifications (Page 665) - 11.4 IIR Filter Design (Page 670) - 11.5 FIR Filter Design (Page 696) - 11.6 Realization of Discrete Filters (Page 706) - 11.7 What Have We Accomplished? Where Do We Go from Here? (Page 718) - Problems (Page 718) - Chapter 12. Applications of Discrete-Time Signals and Systems (Page 726) - 12.1 Introduction (Page 726) - 12.2 Application to Digital Signal Processing (Page 727) - 12.3 Application to Sampled-Data and Digital Control Systems (Page 739) - 12.4 Application to Digital Communications (Page 746) - 12.5 What Have We Accomplished? Where Do We Go from Here? (Page 758) - Appendix. Useful Formulas (Page 760) - Bibliography (Page 763) - Index (Page 766)