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Digital Signal Processing Lecture Notes 2017

Weldon, Thomas Paul 2018

The lecture notes in this book are a collection of presentation slides for teaching an introductory undergraduate course in digital signal processing. As lecture notes, this book is not intended to be a substitute for the many excellent textbooks in this field. Instead, this book is intended as a supplement to other course materials, and as a workbook for students taking notes during corresponding lectures. In addition, practicing engineers may find this book useful for quick review of the topic. Outline of the book: 1 Introduction and Overview 2 Discrete-Time Signals and Systems 3 Sampling and Difference Equations 4 Discrete-Time Fourier Transform 5 Discrete Fourier Transform 6 Z-Transform 7 Novel Applications 8 Digital Radio 9 Digital Filter Design 10 Classifiers 11 Exam Review 12 Appendix


Why Read This Book

You will get a compact, slide-based walkthrough of core DSP concepts that makes it easy to review fundamentals quickly and follow along in lecture. The notes emphasize practical algorithms and applications (audio/speech, radar, digital radio, communications) so you can map theory to real-world problems without wading through a full textbook.

Who Will Benefit

Undergraduate students and practicing engineers seeking a concise, lecture-style refresher on DSP fundamentals and applied algorithms.

Level: Beginner — Prerequisites: Basic calculus and linear algebra, introductory signals-and-systems ideas (continuous/discrete signals), and some familiarity with basic programming (MATLAB/Octave or Python recommended).

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Key Takeaways

  • Understand sampling theory, aliasing, and the relationship between continuous- and discrete-time representations.
  • Apply the DFT/FFT and DTFT for spectral analysis and interpret frequency-domain results for signals and systems.
  • Design and analyze basic FIR and IIR digital filters and choose windows and techniques for practical implementations.
  • Use the z-transform and difference equations to model discrete-time systems and assess stability and causality.
  • Implement and reason about foundational DSP algorithms for audio/speech, radar, and digital radio systems.
  • Summarize adaptive filtering principles and basic statistical signal processing considerations for estimator design.

Topics Covered

  1. 1. Introduction and Overview
  2. 2. Discrete-Time Signals and Systems
  3. 3. Sampling and Difference Equations
  4. 4. Discrete-Time Fourier Transform (DTFT)
  5. 5. Discrete Fourier Transform (DFT) and FFT
  6. 6. Z-Transform and System Analysis
  7. 7. Novel Applications (case studies)
  8. 8. Digital Radio and Communications Examples
  9. 9. Digital Filter Design (FIR/IIR, windows, bilinear transform)
  10. 10. Classifiers and Introductory Statistical Processing
  11. 11. Exam Review and Worked Examples
  12. 12. Appendices (reference formulas, tables, suggested exercises)

Languages, Platforms & Tools

MATLAB/OctavePython (NumPy/SciPy)C (for embedded implementations)General / conceptual (not tied to a specific DSP processor)MATLABGNU OctaveNumPy/SciPyFFTW (for FFT implementations)GNU Radio (for digital radio examples)

How It Compares

Covers similar foundational ground to Oppenheim & Schafer and Proakis & Manolakis but in a far more condensed, slide-based form intended as lecture support and quick review rather than a comprehensive textbook.

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