Applied Signal Processing (Ocasys code STAPSE5)

This course consists of 8 weeks of lectures and a werkcollege starting 16/11/2011 and ending 20/1/2012. The final exam will be on 30 January 2012. The course is open to students Astronomy, Applied Physics and Physics, and is part of the master Instrumentation and Informatics (I&I) in Physics, Astronomy and Space Research.

Lectures and the practical class (werkcollege) are on Wednesday from 11.00-12:45 (
V 5161.0222), Thursday from 9.00-10:45 ( J 5419.0161 ) and Fridays from 13.00-14:45 (J 5419.0161 ). The practical class (werkcollege) will be given by Drs. Aleksandar Shulevski ( rm 192 in the Kapteyn Borg (building J1), tel. 050-3638689, e-mail: Some assignments will be given as homework and will be graded. In the last few weeks a larger project will have to be carried out, concentrating on a practical aspect of signal processing.

The final grade will consist of the marks of the exam (55%), the project (25%), and the homework (20%).

To study for the exam:
- Notes from the lectures

out of Digital Signal Processing by Mitra:

- Chapter 1 (Introduction)
- Chapter 2 (Discrete-Time Signals)
- Chapter 3 (DTFT)
- Chapter 4 (Continuous-time Signals) 4.1-4.4
- Chapter 5 (DFT) 5.1-5.11
- Chapter 6 (Z-transform) 6.1-6.6
- Chapter 7 (Discrete-Time Systems in the Transform Domain) 7.2-7.4
- Chapter 8 (Digital Filter Structures) 8.1-8.4
- Chapter 9 (Spectral Transformations) 9.1-9.3

Exam (tentamen): Monday 30 January 2012, 14:00 - 17:00 in X 5118.-156
Resit exam (hertentamen): Wednesday 28 April 2012, 9:00 - 12:00 in X 5113.0201

An old exam can be found here, including answers.

Formula Sheet that can be used at the exam.

List of topics that one is expected to master for the exam.

Overview of the lectures:

Week 1. Introduction; Discrete time signals: sampling, correlation, LTI discrete time systems: college01 college02

   Aliasing demos:


Week 2. Linear Time Invariant (LTI) Discrete Time Systems: convolution, correlation; Fourier Transforms: properties, theorems, applications, Sampling, A/D conversion, effects of bandpass, filters college03 college04

   several Fourier Transform demonstrations are available at the following URLs:

   for convolution and properties of delta-functions one can use the following notes (from

   step function_  delta function  convolution  convolution theorem_

   cross correlation  cross correlation theorem  windowing               

Week 3. Finite length discrete transforms, FFT, symmetry relations, classification of sequences, Fourier filters, cosine transform:


   for circular shift see also:

   for more on FFT's see also:

   for JPEG compression see: and

Week 4. Z -Transform and its applications, FIR and IIR transfer functions:
college06 college07

see also the following links for useful background:

Week 5. Simple filters college08

              Guest lecture by A. Offringa (Kapteyn Institute): Pattern Recognition and Interference Rejection in LOFAR data

Week 6. Guest Lecture by A. Gunst (ASTRON): Digital Filter Design in practice

Week 7. Filter structures college09

Week 8. IIR and FIR Filter design

Summary lecture


The projects will deal with an aspect of applied signal processing. The student will be introduced to a problem in real life and will be required to use the learned skills in digital signal processing to solve it. The project will most likely be done under supervision of J.M. van der Hulst or A. Shulevski, although it is possible that for some projects the students work with other staff members in Groningen, at ASTRON or at SRON. Examples of projects are:

- Data Compression
- Determining the stellar kinematics of external galaxies
- Analysing a map from a radio interferometer (e.g. the Westerbork telescope)
- Neural Networks
- Speech Recognition
- Data Compression
- etc.

Project 1
Project 2
Project 3
Project 4
Project 5
Project 6
Project 7
Project 8

a project of your choice. In that case discuss the project with J.M. van der Hulst before starting it. Projects should be selected by December 18, or earlier. The projects should be handed in before 13 February 2012.

Background material:

- Discrete-Time Signal Processing, by Alan V. Oppenheim and Ronald W. Schafer, third edition, 2010 Pearson Higher Education, ISBN-10: 0-13-206709-9, ISBN-13: 978-0-13-206709-6
- Digital signal processing : a computer based-approach, by Sanjit K. Mitra, 4th edition, 2011, McGraw Hill, ISBN 978-007-128946-7. Older versions, with ISBN 0-07-125579-6 or ISBN 0-07-124467-0, can also be used, but not the 2nd or earlier editions.
- Fast Transforms; Algorithms, Analyses, Applications, by Douglas F. Elliott and K. Ramamohan Rao, 1982,  Academic Press, ISBN 0-12-237080-5
- Advanced digital signal processing and noise reduction, by Saeed V. Vaseghi, 2000, Chichester: Wiley, ISBN 0-471-62692-9

Lecture Notes by Peter Cole,
Communications, Signals and Systems Lectures

The Scientist and Engineer's Guide to Digital Signal Processing
by Steven W. Smith
Lecture Notes of a course on Digital Signal Processing
(nice) by Robi Polikar (Robi Polikar,

J.M. van der Hulst (, tel. 050-3634054, Kapteynborg rm 146.