Engineering Signal Analysis: From Fourier to filtering: Theory

• Preface

• Part I: Introduction

• Chapter 1: Introduction

• Chapter 2: Signal Preliminaries

• Part II: Continuous Time

• Chapter 3: Real Fourier Series

• Chapter 4: Complex Exponential Fourier Series

• Chapter 5: Fourier Transform

• Chapter 6: Fourier Transform Theorems

• Chapter 7: Convolution

• Chapter 8: Finite Signal Duration, Leakage And Windowing

• Part III: Discrete Time

• Chapter 9: Sampling

• Chapter 10: Signal Reconstruction

• Chapter 11: Discrete-Time Fourier Transform

• Chapter 12: Discrete Fourier Transform

• Part IV: Spectral Estimation

• Chapter 13: Energy And Power Spectral Density

• Chapter 14: Spectral Estimation

• Chapter 15: Spectrogram

• Part V: Linear Systems

• Chapter 16: Linear Time-Invariant Systems

• Chapter 17: Measuring Signals

• Chapter 18: Filters

• Appendices

• Appendix A: Common Mathematical Formulas

• Appendix B: Elementary Functions

• Appendix C: Complex Algebra

• Appendix D: Quantization

• Appendix E: Fourier Transform Pairs

• Appendix F: Discrete Convolution

• Appendix G: DTFT Addendum

• Appendix H: DFT Addendum

• Appendix I: Spectral Analysis In Practice: Full Procedure

• Appendix J: Confidence Interval Of Periodogram

• Appendix K: Correlation

• Appendix L: White Noise

• Appendix M: Solving First-Order Differential Equation – Example

• Bibliography

Engineering Signal Analysis - Theory, is an introductory textbook on the analysis of signals in time and frequency. It takes an engineer’s perspective and discusses how to characterize, analyze and operate on signals. The basic theoretical concepts, Fourier series and transform, are explained in continuous time. It then introduces discrete-time signals, addressing how sampling and finite signal duration affect spectral analysis. It discusses the discrete Fourier transform and its use in spectral estimation. The book concludes with an introduction to linear systems and signal filtering.