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Department of Information Technology

Spectral Processing of Signals

A schedule can be found here


2008-10-30: HW5 is now corrected and can be picked up in the OUT-box. The results are also posted on the file area "Results" on Studentportalen.
2008-10-24: HW4 is now corrected and can be picked up in the OUT-box. The results are also posted on the file area "Results" on Studentportalen.
2008-10-14: HW3 is now corrected and can be picked up in the OUT-box. The results are also posted on the file area "Results" on Studentportalen.
2008-10-08: HW2 is now corrected and can be picked up in the OUT-box. The results are also posted on the file area "Results" on Studentportalen.
2008-10-03: HW1 is now corrected and can be picked up in the OUT-box. The results are also posted on the file area "Results" on Studentportalen.
2008-09-16: Note that the solutions to the homework assignments must be written in English!
2008-08-15: Course homepage updated with most important info.

Course Level Study Period
Advanced 1

Educational programs:

Program Course Code Points Application Code
Engineering physics 1RT606 6hp 11807


To provide the student with the knowledge necessary to think in the "frequency domain" and to introduce the state-of-the-art methods and algorithms for computer-aided spectral analysis of temporal and spatial signals with applications in communications, signal analysis, radar systems, emitter location, signal recognition, and others. More information is available on this page.

Click to download a popular description of the course in ps or pdf format.


Linear algebra, Fourier analysis, Discrete-time signals and systems.


  1. Basic Definitions and the spectral estimation problem.
  2. Periodogram and correlogram methods.
  3. Improved periodogram-based methods.
  4. Parametric methods for rational spectra.
  5. Parametric methods for line spectra.
  6. Filter-bank methods.
  7. Spatial methods for array signal processing.

The course syllabus is available here. The course slides are available here (or locally in tar.gz-compressed format or in pdf format).

In lecture 10 the instructors will present several applications of spectral processing of signals. Similarly, the students have the possibility to get 20 credit points if they present short talks of approximately 20 minutes about some application of spectral processing of signals, either at their choice or by selecting one from the list below (NB: some of these paper might require being on the Uppsala University computer network in order to download):

  1. Use of Spectral Analysis in Defense Against DoS Attacks
  2. Spectral Analysis of Calcium Oscillations (The code and some more stuff can be found here)
  3. Application of model-based spectral analysis to wind-profiler radar observations
  4. Is Spectral Processing Important for Future WSR-88D Radar?
  5. High Resolution Analysis of Impact Sounds and Forces
  6. Winds under the Rain Forest Canopy: The Aerodynamic Environment of Gliding Tree Frogs
  7. A dynamical analysis of tennis: Concepts and data
  8. Frequency Spectrum of the Intracardiac and Body Surface ECG during Ventricular Fibrillation - a Computer Model Study
  9. Heart-Rate Variability and Event-Related ECG in Virtual Environments
  10. A Spectral Analysis of the Frequency of Supermarket Visits
  11. Spectral analysis in ecology

Homework assignments:

Homework Exercise (old/new book) Deadline Additional instructions
Periodogram methods C2.20/C2.22 Sept. 25 Here
Rational parametric methods C3.18/C3.20 Oct. 2 Here
Rational parametric methods for line spectra C3.17/C3.18 Oct. 9 Here
Parametric methods for line spectra C4.10/C4.14 Oct. 16 Here
Spatial methods C6.14/C6.17 Oct. 23 Here

(For information on the old/new book, see Literature below.)

The solutions should be put in the postbox marked Spectral proc. signals IN on floor 2 in house 2, and they will be returned via the adjacent OUT-box (box no:s 40 and 46).

For some general advice on the presentation etc of the homework assignments, please check this page.

Since the examination is based on the homeworks, discussing the solutions to the homework assignments with your colleagues or anybody else is strictly forbidden. Note that in grading the homework solutions we will put an emphasis on your interpretations of the results. Also, note that the deadlines are strict! This means that a homework which is handed in late may receive no points at all.


Lab Exercise (old/new book) Scheduled time Instructions
Periodogram methods C2.17/C2.19, C2.18/C2.20 Sept 23, 10-12 Lab1
Parametric methods for rational spectra C3.16/C3.17 Sept 25, 15-17 Lab2
Parametric methods for line spectra C4.9/C4.12 Sept 29, 15-17 Lab3
Filter bank methods C5.13/C5.13 Oct 2, 13-15 Lab4
Spatial methods C6.12/C6.15, C6.13/C6.16 Oct 10, 13-15 Lab5

(For information on the old/new book, see Literature below.)

The computer-labs are mandatory. If you for some reason cannot attend a specific session, please, contact the person responsible for the lab well in advance. If your absence was not predicted, make this contact as soon as possible. Make sure that you come prepared (see the course syllabus) for descriptions of the different lab sessions).

All computer labs are scheduled to be in room 2315 (house 2, 3rd floor) at Polacksbacken.

IMPORTANT: For access to the PC-labs at the department, an account at UpUnet-S (the university computer network for students) is required. When logging in password C should be used! Make sure that you have this password! Information about UpUnet-S can be found at

From the computer labs at the IT-department you can access matlab scripts for all the labs (so you don't have to do any programming yourself). Those lab-files can be found in two ways. If you have a G: drive mounted when you log into the system you find the files under G:\Program\Systemteknik\Spektralanalys\. If you don't have G: mounted you can either mount it yourself (using "Map Network Drive") or you can find the files directly under "My Network Places"-"Entire Network"-"Microsoft Windows Network"-"It-Pclab"\Pegasus\Program\Systemteknik\Spektralanalys.


The students are required to pass all five labs. The exam consists of solving the five homework assignments. Each homework assignment gives a maximum of 20 points. The points required for the different grades are as follows.

For Master of Science students:

Points Grade
0-40 Fail
41-70 3
71-90 4
91-... 5

For PhD students:

Points Grade
0-74 Fail
75-... G

During the last lecture, up to 4 students may choose to present some applications of spectral analysis. Each presentation will last 25 minutes (including discussion) and its topic can be selected by the student or suggested by us. For each presentation a maximum of 20 points can be awarded.


P. Stoica and R. Moses, Spectral Analysis of Signals, Prentice-Hall, NJ, USA, 2005. Errata.

The old version of the book (P. Stoica and R. Moses, Introduction to Spectral Analysis, Prentice-Hall, NJ, USA, 1997) also includes everything needed for the course. A current list of corrections to this version is available here in ps or pdf format.

Updated  2009-09-27 17:32:56 by Prabhu Babu.