2020-2021 / ELEN0071-1

Applied digital signal processing

Duration

39h Th, 13h Pr, 40h Proj.

Number of credits

 Bachelor of Science (BSc) in Engineering5 crédits 
 Master of Science (MSc) in Biomedical Engineering5 crédits 

Lecturer

Pierre Sacré

Language(s) of instruction

English language

Organisation and examination

Teaching in the second semester

Schedule

Schedule online

Units courses prerequisite and corequisite

Prerequisite or corequisite units are presented within each program

Learning unit contents

  • z-transform. Its properties. Comparison with Laplace Transform.
  • Discrete-time (DT) systems. Design of simple systems and filters by pole-zero placement. Finite-impulse response (FIR) filters and infinite-impulse response (IIR) filters. All-pass systems. Minimum-phase systems.
  • Sampling of continuous-time (CT) signals.
  • Discrete Fourier Transform (DFT). Where it comes from. Why it is useful. How it relates to the DTFS and DTFT. How to use it to compute the other transforms, perhaps approximately: CTFT, DTFT, CTFS, DTFS.
  • Fast Fourier Transform (FFT): the fast implementation of the DFT. 
  • Design of analog filters. Butterworth filters, Chebyshev filters, elliptic filters, Bessel filters. Low-pass, high-pass, band-pass, band-reject. Frequency transformations.
  • Design of finite-impulse response (FIR) filters.
  • Design of infinite-impulse response (IIR) filters.
  • Multirate signal processing (time-permitting).

Learning outcomes of the learning unit

The student will understand fundamental concepts for digital signal processing: mathematical principles, practical limitations, and practical implementations. He will become a critical user of digital signal processing techniques (beyond "cooking recipes"). He will be able to implement digital signal processing in his own work.

Prerequisite knowledge and skills

Calculus, algebra, elements of computer science and applied mathematics, and continuous-time signals and systems.

Planned learning activities and teaching methods

Mode of delivery (face to face, distance learning, hybrid learning)

Face-to-face.

Organisational adjustments related to the current health context

Recommended or required readings

The course notes, slides, and exercise notes will be available on the course's webpage at the beginning of the semester: http://www.montefiore.ulg.ac.be/~sacre/ELEN0071/.

Assessment methods and criteria

Below you will find information on the evaluation methods planned for in-person and remote exams as well as those planned for hybrid sessions. Depending on how the health crisis evolves, the chosen method will be communicated to you no later than one month before the start of the exam session.

Any session :

- In-person

written exam ( open-ended questions )

- Remote

written exam ( open-ended questions )

- If evaluation in "hybrid"

preferred in-person


Additional information:

The assessment is composed of two grades: a grade for the personal projects (approximately 20% of the final grade) and a grade for the written exam covering theory and exercises (approximately 80% of the final grade).
The projects and the written exam are mandatory. An absence for one of these parts will result in an absence for the course.

Work placement(s)

Organizational remarks

Contacts

Lecturer: Pierre Sacré (p.sacre@uliege.be).
Webpage: http://www.montefiore.ulg.ac.be/~sacre/ELEN0071/.