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Department of Information Technology

Spectral Analysis, Autumn 2005


2004-10-18: party-smiley-020.gif The fifth (and last) homework assignment has been corrected. You can get it from the "Spektralanalys ut"-box in house 2 on the 2nd floor, and you can check your points and grades on this page. party-smiley-050.gif
2005-10-14: HW4 has been corrected and put in the SA-out box on floor 2 house 2. Check your result here.
2005-10-11: There will be no session on October 18th for oral presentations of the homework assignments.
2005-10-06: HW3 has been corrected and put in the SA-out box on floor 2 house 2. Check your result here.
2005-10-05: "Hints" for the homeworks has been renamed to the more appropriate "Additional instructions". As before, you are expected to read and follow those instructions.
2005-09-30: HW2 has been corrected and put in the SA-out box on floor 2 house 2. Check your result here.
2005-09-24: HW1 has been corrected and put in the SA-out box on floor 2 house 2. Check your result here.
2005-09-19: Rules regarding the homework assignments, previously clearly stated in the course syllabus, have now been added to the homepage.
2005-09-19: You can now track your progress on the labs and homeworks.
2005-09-16: Instructions for running the labs added.
2005-09-13: The second lab is now scheduled at two different occasions: 21/9, 10:15-12 and 23/9, 13:15-15:00. You will be able to select your preferred date on the first lab.
2005-08-31: Course syllabus and homework hints updated (pdf).
2005-08-24: Course homepage updated.
2005-06-29: Course homepage up.

Course Level Study Period
C 1

Educational programs:

Program Course Code Points Reg. Code
Engineering physics 1TT606 4 10822


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.

Click to download a popular desciption 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.

Click to download the course syllabus. The course slides are available at or locally in tar.gz-compressed format of in pdf format.

Homework assignments:

Homework Excercise (old/new book) Deadline Additional instructions
Periodogram methods C2.20/C2.22 Sept 20 pdf
Rational parametric methods C3.18/C3.20 Sept 26 pdf
Rational parametric methods for line spectra C3.17/C3.18 Oct 3 pdf
Parametric methods for line spectra C4.10/C4.14 Oct 10 pdf
Spatial methods C6.14/C6.17 Oct 17 pdf

(For information on the old/new book, see Literature below.)
For your progress so far, 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 Excercise (old/new book) Scheduled time Instructions
Periodogram methods C2.17/C2.19, C2.18/C2.20 Sept 19, 10-12 Lab 1
Parametric methods for rational spectra C3.16/C3.17 Sept 21, 10-12 OR Sept 23, 13-15 Lab 2
Parametric methods for line spectra C4.9/C4.12 Sept 30, 10-12 Lab 3
Filter bank methods C5.13/C5.13 Oct 6, 10-12 Lab 4
Spatial methods C6.12/C6.15, C6.13/C6.16 Oct 11, 13-15 Lab 5

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

For your progress so far, please check this page.

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 Pollacksbacken.

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.

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  2005-10-18 12:31:39 by Yngve Selén.