This course is part of the Digital Signal Processing Specialization

Paolo Prandoni +1 more instructor

Offered By

Digital Signal Processing SpecializationÉcole Polytechnique Fédérale de Lausanne

About this Course

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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. 
In this series of four courses, you will 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.

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Course 1 of 4 in the

Digital Signal Processing Specialization

Flexible deadlines

Reset deadlines in accordance to your schedule.

Intermediate Level

Approx. 29 hours to complete

English

Subtitles: French, Portuguese (Brazilian), Russian, English, Spanish

What you will learn

The nature of discrete-time signals

Discrete-time signals are vectors in a vector space

Discrete-time signals can be analyzed in the frequency domain via the Fourier transform

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Course 1 of 4 in the

Digital Signal Processing Specialization

Flexible deadlines

Reset deadlines in accordance to your schedule.

Intermediate Level

Approx. 29 hours to complete

English

Subtitles: French, Portuguese (Brazilian), Russian, English, Spanish

Instructors

Instructor rating

4.64/5 (77 Ratings)

Paolo Prandoni

Lecturer

School of Computer and Communication Science

86,141 Learners

5 Courses

Martin Vetterli

Professor

School of Computer and Communication Sciences

86,141 Learners

5 Courses

Offered by

École Polytechnique Fédérale de Lausanne

Syllabus - What you will learn from this course

Content Rating97%(1,533 ratings)

Week

Week 1

7 hours to complete

Module 1.1: Digital Signal Processing: the Basics

Introduction to the notation and basics of Digital Signal Processing

7 hours to complete

6 videos (Total 88 min), 7 readings, 1 quiz

6 videos

1.1.1 What is digital signal processing?25m

1.1.2 Discrete-time signals16m

1.1.3.a How your PC plays discrete-time sounds3m

1.1.3.b The Karplus-Strong algorithm19m

1.1.4 Complex exponentials14m

Signal of the Day: Goethe's temperature measurement8m

7 readings

Welcome to DSP One!5m

Introduction5m

Introduction2m

Introduction5m

Practice homework1h

Notes and Supplementary Material15m

1 practice exercise

Homework for Module 1.11h 45m

Week

Week 2

5 hours to complete

Module 1.2: Signal Processing Meets Vector Space

Modeling signals as vectors in an appropriate vector space. Using linear algebra to express signal manipulations.

5 hours to complete

7 videos (Total 63 min), 6 readings, 1 quiz

7 videos

1.2.1 Signal processing and vector spaces4m

1.2.2.a Vector space15m

1.2.2.b Signal spaces4m

1.2.3 Bases13m

1.2.4.a Subspace-based approximations4m

1.2.4.b Polynomial Approximation11m

Signal of the Day: Exoplanet hunting9m

6 readings

Introduction1m

Practice homework1h

Notes and Supplementary Material15m

1 practice exercise

Homework for Module 1.21h 30m

Week

Week 3

9 hours to complete

Module 1.3: Fourier Analysis: the Basics

The fundamental concepts behind the Fourier transform and the frequency domain

9 hours to complete

14 videos (Total 94 min), 10 readings, 1 quiz

14 videos

1.3.1.a The frequency domain5m

1.3.1.b The DFT as a change of basis10m

1.3.2.a DFT definition5m

1.3.2.b Examples of DFT calculation13m

1.3.2.c Interpreting a DFT plot4m

1.3.3.a DFT analysis11m

1.3.3.b DFT example - analysis of musical instruments4m

1.3.3.c DFT synthesis5m

1.3.3.d DFT example - tide prediction in Venice4m

1.3.3.e DFT example - MP3 compression4m

1.3.4.a The short-time Fourier transform5m

1.3.4.b The spectrogram7m

1.3.4.c Time-frequency tiling5m

Signal of the Day: The first man-made signal from outer space5m

10 readings

Introduction6m

What have we learned?5m

Introduction1m

What have we learned?5m

Introduction1m

What have we learned?5m

Introduction1m

What have we learned?5m

Practice homework1h

Real-valued Transforms20m

1 practice exercise

Homework for Module 1.32h

Week

Week 4

8 hours to complete

Module 1.4: Fourier Analysis: More Advanced Tools

Delving deeper in the world of Fourier analysis.

8 hours to complete

11 videos (Total 121 min), 9 readings, 1 quiz

11 videos

1.4.1.a Discrete Fourier series4m

1.4.1.b Karplus-Strong revisited and DFS7m

1.4.2.a Karplus-Strong revisited and the DTFT13m

1.4.2.b Existence and properties of the DTFT7m

1.4.2.c The DTFT as a change of basis10m

1.4.3.a Sinusoidal modulation7m

1.4.3.b Tuning a guitar4m

1.4.4.a Relationships between transforms11m

1.4.4.b Zero padding5m

1.4.5 The fast Fourier transform42m

Signal of the Day: Tristan Chord6m

9 readings

Introduction1m

What have we learned?2m

Introduction1m

What have we learned?10m

Introduction5m

Introduction1m

Introduction2m

Practice homework1h

Notes and Supplementary Material15m

1 practice exercise

Homework for Module 1.42h

About the Digital Signal Processing Specialization

This Specialization provides a full course in Digital Signal Processing, with a focus on audio processing and data transmission. You will start from the basic concepts of discrete-time signals and proceed to learn how to analyze data via the Fourier transform, how to manipulate data via digital filters and how to convert analog signals into digital format. Finally, you will also discover how to implement real-time DSP algorithms on a general-purpose microcontroller. The solid theoretical bases provided by the four courses in this specialization are complemented by applied examples in Python, in the form of Jupyter Notebooks; exercises with solutions provide a wealth of examples in order to tackle the weekly homework.

Frequently Asked Questions

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What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
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Digital Signal Processing 1: Basic Concepts and Algorithms