About this Course
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Flexible deadlines

Flexible deadlines

Reset deadlines in accordance to your schedule.
Hours to complete

Approx. 18 hours to complete

Suggested: 5 weeks of study, 1-2 hours/week...
Available languages

English

Subtitles: English
100% online

100% online

Start instantly and learn at your own schedule.
Flexible deadlines

Flexible deadlines

Reset deadlines in accordance to your schedule.
Hours to complete

Approx. 18 hours to complete

Suggested: 5 weeks of study, 1-2 hours/week...
Available languages

English

Subtitles: English

Syllabus - What you will learn from this course

Week
1
Hours to complete
15 minutes to complete

Introduction

This course is part of a Blended Master Programme in Embedded Systems. ...
Reading
1 video (Total 5 min), 1 reading
Video1 video
Reading1 reading
Some suggested reading material10m
Hours to complete
4 hours to complete

Modeling systems as token consumption/production systems

In this module/week you will learn to draw a model of a token consumption/production system, and communicate your interpretation of this model with others in an informal manner. At the end of this model, you will be able to draw your own models, and explain your interpretation of them in general terms. Also, you will know about the standard Petri-net interpretation of consumption/production systems, and will be able to point out particular patterns in Petri-net models. Finally, you will be able to refine a consumption/production model into a model that contains sufficient information to allow worst-case performance analysis. This is all tested using a peer-reviewed assignment. ...
Reading
11 videos (Total 70 min), 3 readings, 6 quizzes
Video11 videos
Consumption and production of tokens5m
Modeling an intensive care unit5m
Modeling a wireless LAN radio4m
Modeling and refining an industrial robot6m
Pick your own system1m
Classes of Petri-nets8m
Causality, choice and concurrency (modeling patterns)9m
Refinement of consumption/production systems8m
Interpreting pictures for performance analysis10m
Draw your own model3m
Reading3 readings
Always ask yourself...10m
The refinement of the robot.10m
Tooling10m
Quiz5 practice exercises
Basic modeling ideas16m
Modeling Warehouse 136m
Modeling features10m
Definition of refinement2m
Which is a refinement of which?4m
Week
2
Hours to complete
3 hours to complete

Syntax and semantics

In this module/week, you will be really training your abstract thinking skills. After finishing this module, you will have learned how to formalize the behavior of any dynamical system as a prefix order, and how to formalize the interpretation of a consumption/production system as a counting function on such a prefix order. You understand how the Petri-net interpretation puts certain restrictions on these counting functions, and how you can exploit those restrictions to prove properties about Petri-net interpretations, without knowing the actual interpretation itself. At the end of the module, you will practice the formalization of performance metrics as logical properties of counting functions, by recognizing right and wrong examples of formalization. Those who are already familiar with Petri-net theory, may find that the prefix order semantics that I introduce in this course is slightly different from what they are used to. Traditional Petri-net semantics is usually based on markings, transition systems, or the execution trees thereoff. Execution trees are a particular example of a prefix order, but in general prefix orders offer the added flexibility that they do not restrict the user to discrete interpretations of behavior only. This is particularly suitable when seeking connection between theoretical computer science and an application field like embedded systems, from which this course originates, where also the continuous behavior of physical systems has to be taken into account....
Reading
14 videos (Total 103 min), 5 readings, 5 quizzes
Video14 videos
Syntax and semantics3m
The basics9m
Extensions4m
Prefix orders7m
Exercise on prefix orders7m
Proof that flows form a prefix order14m
Formalizing interpretations as functions8m
Counting is order preserving6m
Formalizing the Petri-net interpretation10m
Proof that the number of tokens in a single-rate dataflow cycle is constant13m
Formalizing timing6m
Formalizing eager scheduling5m
Formalizing periodic scheduling4m
Reading5 readings
Flags and Fitch style proofs10m
Slides of the proof10m
Slides of the proof10m
Exercise: Formalize best-case response times10m
About the next quiz.10m
Quiz5 practice exercises
Bipartite graphs2m
Thinking about observation functions4m
Isomorphism2m
Summarize!2m
Formalizing performance properties16m
Week
3
Hours to complete
3 hours to complete

Performance analysis

In this module/week you will learn to exploit the structure of single-rate dataflow graphs to perform worst-case analysis of performance metrics like throughput, latency and buffering. After this week, you know how to calculate the maximum cycle mean of a dataflow graph, how to construct a periodic schedule for it, how to optimize this schedule for latency analysis, and how to determine the size of buffers with back-pressure such that the worst-case analysis remains valid. If you understood the material of the previous module/week, the proofs presented in this week will give you a deeper understanding of the mathematical underpinning of these methods....
Reading
20 videos (Total 131 min), 2 readings, 5 quizzes
Video20 videos
Throughput is bounded by 1/MCM8m
Proof - a1m
Proof - b9m
Proof - c1m
Proof - d3m
Proof - e7m
Proof - f4m
Proof - g4m
Proof - h8m
Proof - i12m
Proof - j8m
The throughput bound is tight5m
Periodic scheduling of a dataflow graph12m
Latency analysis of a periodic schedule6m
Latency analysis of an eager schedule9m
The formal definition of latency5m
The boot-up time of a dataflow graph4m
Optimizing latency estimates w.r.t. boot-up time5m
Buffering and backpressure5m
Reading2 readings
Slides of the proof10m
Alternative proof in synchronization and linearity10m
Quiz5 practice exercises
Summarize!2m
Calculating the MCM and worst-case throughput10m
Calculate some periodic schedules8m
Calculating optimal periodic schedules and their latencies16m
Calculating suitable buffer sizes8m
Week
4
Hours to complete
1 hour to complete

One final example

In this last week, we just discuss one more example, following the outline of the peer-reviewed assignment of the first module/week. It's just a little summary, combining everything we have learned so far, and there is some additional reading material to trigger an appetite for further discovery....
Reading
1 video (Total 21 min), 5 readings
Video1 video
Reading5 readings
2015 Assignment on dataflow modeling.10m
Additional dataflow exercises10m
Example of an exam at masters level (without solutions)10m
Another example of an exam (with solutions)10m
Material created by fellow students10m

Instructors

Avatar

Dr.ir. Pieter Cuijpers

Assistant Professor
Mathematics and Computer Science
Avatar

Anne Remke

Prof. dr.
Computer Science

About EIT Digital

EIT Digital is a pan-European education and research-based open innovation organization founded on excellence. Its mission is to foster digital technology innovation and entrepreneurial talent for economic growth and quality of life. By linking education, research and business, EIT Digital empowers digital top talents for the future. EIT Digital provides online "blended" Innovation and Entrepreneurship education to raise quality, increase diversity and availability of the top-level content provided by 20 reputable universities of technology around Europe. The universities all together deliver a unique blend of the best of technical excellence and entrepreneurial skills and mindset to digital engineers and entrepreneurs at all stages of their careers. The academic partners support Coursera’s bold vision to enable anyone, anywhere, to transform their lives by accessing the world’s best learning experience. This means that EIT Digital gradually shares parts of its entrepreneurial and academic education programmes to demonstrate its excellence and make it accessible to a much wider audience. EIT Digital’s online education portfolio can be used as part of blended education settings, in both Master and Doctorate programmes, and for professionals as a way to update their knowledge. EIT Digital offers an online programme in 'Internet of Things through Embedded Systems'. Achieving all certificates of the online courses and the specialization provides an opportunity to enroll in the on campus program and get a double degree. These are the courses in the online programme: ...

Frequently Asked Questions

  • Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.

  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, 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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