Digital Signal Processing

Digital Signal Processing is the branch of engineering that, in the space of just a few decades, has enabled unprecedented levels of interpersonal communication and of on-demand entertainment. By reworking the principles of electronics, telecommunication and computer science into a unifying paradigm, DSP is a the heart of the digital revolution that brought us CDs, DVDs, MP3 players, mobile phones and countless other devices.

The goal, for students of this course, will be to learn the fundamentals of Digital Signal Processing from the ground up. Starting from the basic definition of a discrete-time signal, we will work our way through Fourier analysis, filter design, sampling, interpolation and quantization to build a DSP toolset complete enough to analyze a practical communication system in detail. Hands-on examples and demonstration will be routinely used to close the gap between theory and practice.

To make the best of this class, it is recommended that you are proficient in basic calculus and linear algebra; several programming examples will be provided in the form of Python notebooks but you can use your favorite programming language to test the algorithms described in the course.

Module 1: Basics of Digital Signal Processing

Module 2: Vector Spaces

Module 3: Part 1 - Basics of Fourier Analysis

Module 3: Part 2 - Advanced Fourier Analysis

Module 4: Part 1 Introduction to Filtering

Module 4: Part 2 Filter Design

Module 5: Sampling and Quantization

Module 6: Digital Communication Systems - Module 7: Image Processing