**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**

Lectures and the practical class (

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

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**

Resit exam (hertentamen): Wednesday 28 April 2012, 9:00 - 12:00 in X 5113.0201

Aliasing demos:

http://ocw.mit.edu/ans7870/18/18.06/javademo/Aliasing/

**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:

http://www.jhu.edu/signals/index.html

http://www.academy.rpi.edu/projects/ccli/module_launch.php?ModulesID=16

http://www.falstad.com/fourier/

for convolution and properties of delta-functions one can
use the following notes (from wolfram.mathworld.com):__

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: **college05

for circular shift see also: http://faraday.ee.emu.edu.tr/EENG420/ince_ppts/Circular_Shift.pdf

for more
on FFT's see also: http://faraday.ee.emu.edu.tr/EENG420/ince_ppts/FFT_sequence_ordering.pdf

for JPEG
compression see: http://www.fho-emden.de/~hoffmann/jpeg131200.pdf
and http://en.wikipedia.org/wiki/JPEG_

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

see also the following links for useful background:

http://math.fullerton.edu/mathews/c2003/ZTransformIntroMod.html

http://www.engineer.tamuk.edu/SPark/chap3.pdf

**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 **college10

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

- 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.

*or** 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, 4 ^{th} 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 2^{nd} 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

Lecture Notes of a course on Digital Signal Processing

J.M. van der Hulst (vdhulst_at_astro.rug.nl), tel. 050-3634054, Kapteynborg rm 146.