5 ECTS credits
125 h study time

Offer 1 with catalog number 4002089EER for all students in the 1st semester at a (E) Master - advanced level.

Semester
1st semester
Enrollment based on exam contract
Possible
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Yes
Taught in
Dutch
Faculty
Faculty of Engineering
Department
Electricity
Educational team
Gerd VANDERSTEEN (course titular)
Activities and contact hours
42 contact hours Lecture
Course Content

The clourse Signal Theory will be assigned to Prof. dr. ir. Gerd Vandersteen from academic year 2018-2019 onwards. The general content is as follows:

Introduction to signal and information theory: terminology, elements in a communication system, signal classification: deterministic, stochastic, and periodic signals.

The properties of stochastic signals:

  • Statistical averages, ensembles and realizations, mixed signals
  • Wide sense stationary signals and ergodic signals.
  • Markov processes.
  • Spectral analysis applied to stochastic processes.
  • The theorem of Wiener-Kinchine, the periodogram, the properties of the autocorrelation function.
  • Spectral analysis of white Gaussian noise, the telegraph signal, and the binary synchronous NRZ-signal using Wiener-Kinchine.
  • The Karhunen-Loève series expansion of stochastic processes.

Estimation of signals in the sense of the least squares.

  • Orthogonality principle and the Wiener filter
  • The Matched Filter

Study of modulations: modulation-demodulation techniques + power spectra

  • Amplitude modulation (AM), Double SideBand modulation (DSB), Single SideBand modulation (SSB), Vestigial SideBand (VSB)
  • Frequency Modulation (FM): Decomposition of angle modulated signals into sinusoids and determination of the bandwidth of FM. FM-demodulators including the study of Phase Locked Loops (PLLs)
  • In-phase/Quadrature (IQ) modulation

Information theory.

  • Auto-information and entropy of discrete and continuous sources.
  • Conditional entropy.
  • Trans-information and the capacity of a transmission channel with application to symmetric Binary Channel (BSC).
  • Redundancy of a channel.
  • Fundamental coding theorems of Shannon.

Development of codes with unequal length and optimized coding.

Course material
Digital course material (Required) : Verdere informatie over de vakgroep, onderzoeksprojecten e.d. kan gevonden worden op de volgende URL:, http://wwwtw.vub.ac.be/ond/elec/, http://wwwtw.vub.ac.be/ond/elec/
Digital course material (Required) : Verdere informatie over de vakgroep, onderzoeksprojecten e.d. kan gevonden worden op de volgende URL:, http://wwwtw.vub.ac.be/ond/elec/lvbiesen.htm, http://wwwtw.vub.ac.be/ond/elec/lvbiesen.htm
Course text (Required) : Signaaltheorie, Eigen gedrukte notas worden ter beschikking gesteld., Ter beschikking gesteld
Practical course material (Required) : Boeken, proceedings, journals e.d. zijn beschikbaar in de bibliotheek van de vakgroep ELEC en kunnen uitgeleend worden., Bib van de vakgroep ELEC
Additional info

Additional information on the ELEC department, research projects, etc. can be found using following URL:

http://vubirelec.be/
 

Course material:

  • Student notes in the format of slides, articles and book references will be provided to the students
  • Handbooks, proceedings, journals etc. are available in the library from the department ELEC and students can consult the material there.
Learning Outcomes

General competencies

This course contributes to the following programme outcomes of the Master in Electronics and Information Technology Engineering:

The Master in Engineering Sciences has in-depth knowledge and understanding of
- exact sciences with the specificity of their application to engineering
- the advanced methods and theories to schematize and model complex problems or processes

The Master in Engineering Sciences can
- reformulate complex engineering problems in order to solve them (simplifying assumptions, reducing complexity)

The Master in Engineering Sciences has
16. an attitude of life-long learning as needed for the future development of his/her career

The Master in Electronics and Information Technology Engineering:
- Has an active knowledge of the theory and applications of electronics, information and communication technology, from component up to system level.
- Has a profound knowledge of either (i) nano- and opto-electronics and embedded systems, (ii) information and communication technology systems or (iii) measuring, modelling and control.
- Has a broad overview of the role of electronics, informatics and telecommunications in industry, business and society.

This introduction course (Introduction to signal theory, detection theory, information theory and modulation) is based on general concepts of mathematical analysis and algebra, statistics and probability theory. The fundamental theorems are proven and illustrated by practical applications in the technology. The student will be able to treat signals statically and he/she will be able to apply detection theory to signals that are heavily corrupted by noise.

 

Grading

The final grade is composed based on the following categories:
Oral Exam determines 100% of the final mark.

Within the Oral Exam category, the following assignments need to be completed:

  • Oral exam with a relative weight of 1 which comprises 100% of the final mark.

    Note: Mondeling examen. De studenten trekken een hoofdvraag en een bijvraag uit steekkaartenbestanden en bereiden de vragen schriftelijk voor, zonder de cursus te raadplegen. Tijdens het college wordt wel vermeld welke formules de studenten op steekkaart mogen zetten. Deze steekkaart mag steeds geconsulteerd worden.

Additional info regarding evaluation

The final grade is composed based on the examination of the theory of the course.

The examination is oral, closed book, with written preparation phase. Students have to solve 2 practical engineering problems related to Information Theory. Hereto they are encouraged to bring a calculating device able to compute logarithms in the base of 2. One of the questions always relates to the production of optimal (or sub-optimal) source codes.

 

Academic context

This offer is part of the following study plans:
Master of Electronics and Information Technology Engineering: Standaard traject (only offered in Dutch)
Master in Applied Sciences and Engineering: Computer Science: Profile Artificial Intelligence (only offered in Dutch)
Master in Applied Sciences and Engineering: Computer Science: Profile Multimedia (only offered in Dutch)
Master in Applied Sciences and Engineering: Computer Science: Profile Software Languages and Software Engineering (only offered in Dutch)
Master of Applied Sciences and Engineering: Computer Science: Profile Artificial Intelligence
Master of Applied Sciences and Engineering: Computer Science: Profile Multimedia
Master of Applied Sciences and Engineering: Computer Science: Profile Software Languages and Software Engineering