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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.

Course Curriculum

Module 1: Basics of Digital Signal Processing
Introduction to digital signal processing Details 00:00:00
Discrete-time signals Details 00:00:00
How your PC plays discrete-time sounds Details 00:00:00
The Karplus-Strong algorithm Details 00:00:00
Signal of the Day: Goethe’s temperature measurement Details 00:00:00
Complex exponentials Details 00:00:00
Module 2: Vector Spaces
Signal processing and vector spaces Details 00:00:00
Signal of the Day: Exoplanet hunting Details 00:00:00
Vector space Details 00:00:00
Signal spaces Details 00:00:00
Bases Details 00:00:00
Subspace-based approximations Details 00:00:00
Module 3: Part 1 - Basics of Fourier Analysis
The frequency domain Details 00:00:00
The DFT as a change of basis Details 00:00:00
DFT definition Details 00:00:00
Examples of DFT calculation Details 00:00:00
Interpreting a DFT plot Details 00:00:00
DFT analysis Details 00:00:00
DFT example – analysis of musical instruments Details 00:00:00
DFT synthesis Details 00:00:00
DFT example – tide prediction in Venice Details 00:00:00
Signal of the Day: The first man-made signal from outer space Details 00:00:00
The short-time Fourier transform Details 00:00:00
The spectrogram Details 00:00:00
Time-frequency tiling Details 00:00:00
Module 3: Part 2 - Advanced Fourier Analysis
Discrete Fourier series Details 00:00:00
Karplus-Strong revisited and DFS Details 00:00:00
Karplus-Strong revisited and the DTFT Details 00:00:00
Existence and properties of the DTFT Details 00:00:00
The DTFT as a change of basis Details 00:00:00
Sinusoidal modulation Details 00:00:00
Tuning a guitar Details 00:00:00
Signal of the Day: Tristan Chord Details 00:00:00
Relationship between transforms Details 00:00:00
The fast Fourier transform Details 00:00:00

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