7 ECTS credits
180 h study time

Offer 1 with catalog number 1004222BNR for all students in the 1st and 2nd semester at a (B) Bachelor - advanced level.

1st and 2nd semester
Enrollment based on exam contract
Grading method
Grading (scale from 0 to 20)
Can retake in second session
Enrollment Requirements
Om te kunnen inschrijven voor Netwerken en filters moet men geslaagd zijn voor Lineaire algebra: stelsels, matrices en afbeeldingen en ingeschreven of geslaagd zijn voor Toegepaste elektriciteit, het technologieproject Informatie en Communicatietechnologie en 1 van de 3 overige technologieprojecten.
Taught in
Faculty of Engineering
Educational team
Rik PINTELON (course titular)
Activities and contact hours
36 contact hours Lecture
42 contact hours Seminar, Exercises or Practicals
Course Content


Part 1

1a Linear networks

- Basic passive devices (resistor, inductor, capacitor, gyrator, transformator, ...)

- Matrix formulation of the KCL-, KVL- and VAL- laws

- Matrix solution of networks (nodal and mesh analysis)

- Theorem of Thévenin and Norton

- Analysis of two ports

- Switched capacitor networks

1b Nonlinear networks

- DC analysis (companion method)

- Transient analysis (companion and state variable methods)

Part 2: Synthesis of filters

- Standard analog filters (Butterworth, Chebyshev, inverse Chebyshev, Cauer, ...)

- Synthesis of active filters (Sallen & Key, state variable filters)

- Study of impedance functions

- Study of LC-ladders

- Cauer synthesis of LC-ladders

- FDNR active filters

- Synthesis of switched capacitor filters



After following the course the student should be able to:

  • analyse linear and non-linear dynamic networks

  • use network analysis software tools

  • design active and passive filters satisfying given amplitude and/or phase specifications

  • design, construct, measure, and adjust active and passive filters

Course material
Course text (Required) : Netwerken en filters deel 1: synthese, Kursusnota's zijn beschikbaar op de dienst uitgaven: deel I: Analyse, deel II: Synthese, en deel III: Opgeloste oefeningen, Pintelon, VUB, 2220170003801, 2017
Course text (Required) : Oefeningen: netwerken en filters, Oefeningen, Pintelon, VUB, 2220170001937, 2015
Course text (Required) : Netwerken en filters deel 2: synthese, Deel II: synthese, Pintelon, VUB, 2220170003818, 2017
Additional info
Course notes (in Dutch) are available at the publication department: Part I: Analysis of circuits, Part II: Synthesis of filters, Part III: Solved problems.

Additional study material


N. Balabanian, T.A. Bickart. 'Electrical Network Theory', John Wiley and Sons, New York (USA), 1969.

W.K. Chen. ‘The Analysis of Linear Systems,’ McGraw-Hill, New York, 1963.

W. K. Chen (ed.), 'The Circuit and Filters Handbook', CRC Press & IEEE Press, 1995.

M. Hasler and J. Neirynck, 'Nonlinear circuits', Artech House, Norwood, 1986.

S. Seshu and M.B. Reed, 'Linear Graphs and Electrical Networks', Addison-Wesley, London (UK), 1961.

M.E. Van Valkenburg. 'Network Analysis', Prentice-Hall, 1964.

J. Vlach. ‘Computerized approximation and synthesis of Linear Networks,’ John Wiley & Sons, New York, 1969.

A. Ralston and P. Rabinowitz. ‘A First Course in Numerical Analysis’, McGraw-Hill, Singapore, 1984.


N. Balabanian. 'Network Synthesis', Prentice-Hall, Englewood Cliffs (USA), 1964.

P. Bildstein. ‘Filtres Actifs’, Editons Radio, Paris, 1976.

W.K. Chen. ‘Linear Network Design and Synthesis,’ McGraw-Hill, New York, 1964.

J.E. Storer. ‘Passive Network Synthesis,’ McGraw-Hill, New York, 1957.

M.E. Van Valkenburg (ed.). 'Circuit Theory: Foundations and Classical Contributions', Dowden, Hutchinson & Ross, Stroudsburg (USA), 1974.

A. I. Zverev. ‘Handbook of Filter Synthesis’, John Wiley & Sons, New York, 1967.
Learning Outcomes

General competencies

- aims and objectives : (computer)analyses of linear and non-linear dynamic networks; insight in the properties of these networks; design of active and passive filters satisfying given amplitude and/or phase specifications; construction, measurement, and adjustment of active and passive filters
- exam requirements : (1) analysis of (non)linear networks; (2) design (correct choice of the technology, sensitivity analysis, choice of the component values, ...) of a filter starting from its specifications, implementation of the design, and measurement of the realised filter using modern measurement devices; (3) written report and oral defense of de realised filters.

This course contributes to the following programme outcomes of the Bachelor in Engineering Sciences:

The Bachelor in Engineering Sciences has a broad fundamental knowledge and understanding of
2. engineering principles and the ability to apply them to analyse key engineering processes and to investigate new and emerging technologies;
3. integrated design methods according to customer and user needs with the ability to apply and integrate knowledge and understanding of other engineering disciplines to support the own specialisation engineering one;
4. fundamental, basic methods and theories to schematize and model problems or processes.

The Bachelor in Engineering Sciences can
5. define, classify, formulate and solve engineering problems, identify the constraints and is able to delimit and formulate the tasks in order to submit these to a critical examination and to check the solutions for their sustainability and social relevance;
6. monitor, interpret and apply the results of analysis and modelling in order to bring about continuous improvement;
7. apply quantitative methods and computer software relevant to the engineering discipline in order to solve engineering problems;
9. use and evaluate information of technical literature and other information sources;
10. correctly report on design results in the form of a technical report or in the form of a paper;
12. reason in a logical, abstract and critical way;
14. work in team, shows creativity and entrepreneurship, and has intellectual mobility.

The Bachelor in Engineering Sciences has
17. a critical attitude towards one’s own results and those of others;



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

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

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

Additional info regarding evaluation
One can choose between an ordinary filter design project or a challenge.

For the ordinary filter design project the marks are devided as

  Theory: oral examination, 50% of the marks

  Exercices: written examination, 25% of the marks

  Project: written report + oral defense and practical demonstration of the designs, 25%

  of the marks

For the challenge the marks are devided as

Theory: oral examination, 25% of the marks

  Exercices: written examination, 25% of the marks

  Project: written report + oral defense and practical demonstration of the designs, 50%

  of the marks

Important note: not delivering the project, or absence at the written or oral examination results in an "absence" evaluation of the whole course

Academic context

This offer is part of the following study plans:
Bachelor of Engineering: Electronics and Information Technology (only offered in Dutch)