About this Course

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Intermediate Level
Approx. 29 hours to complete
English

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.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Intermediate Level
Approx. 29 hours to complete
English

Offered by

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École Polytechnique Fédérale de Lausanne

Syllabus - What you will learn from this course

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Week
1

Week 1

7 hours to complete

Module 1.1: Digital Signal Processing: the Basics

7 hours to complete
6 videos (Total 88 min), 7 readings, 1 quiz
6 videos
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
Introduction5m
Practice homework1h
Notes and Supplementary Material15m
1 practice exercise
Homework for Module 1.11h 45m
Week
2

Week 2

5 hours to complete

Module 1.2: Signal Processing Meets Vector Space

5 hours to complete
7 videos (Total 63 min), 6 readings, 1 quiz
7 videos
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
Introduction1m
Introduction1m
Introduction1m
Practice homework1h
Notes and Supplementary Material15m
1 practice exercise
Homework for Module 1.21h 30m
Week
3

Week 3

9 hours to complete

Module 1.3: Fourier Analysis: the Basics

9 hours to complete
14 videos (Total 94 min), 10 readings, 1 quiz
14 videos
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
4

Week 4

8 hours to complete

Module 1.4: Fourier Analysis: More Advanced Tools

8 hours to complete
11 videos (Total 121 min), 9 readings, 1 quiz
11 videos
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

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Digital Signal Processing

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