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Transform Methods

  • Number of credits 7.5 Credits
  • Level Master’s level
  • Starting Autumn Term 2018

About the course

The course deals with continuous and discrete time signals including sampling and reconstruction. Discrete linear time invariant systems (LTI ) and their connection with convolution as well as continuous LTI systems
given by differential equations are considered.
Transforms, including Fourier series, Fourier transform, discrete Fourier transform and z-transform are important tools. Frequency analysis of signals and discrete LTI systems and digital filter are some of the applications which are studied.
An introduction to multiresolution analysis and wavelets is given. Different wavelet systems (orthogonal, biortogonala dimensional) are studied. Calculation of wavelet coefficients with filter banks are mainly done using computer software. Compulsory computer laboratory assignments are included. The course is more mathematics than applications oriented.

In a degree, this course may not be included together with another course with a similar content. If unsure, students should ask the Director of Studies in Mathematics and Mathematical Statistics. The course can also be included in the subject area of computational science and engineering. 

Application and eligibility

Transform Methods, 7.5 hp

Visa tillfällen för föregående termin Autumn Term 2018 Det finns inga senare terminer för kursen


Lectures begin on week starting 5 November 2018


Lectures end during the week of 14 January 2019

Study location



English (upon request)

Type of studies

Daytime, 50%

Required Knowledge

The course requires 90 ECTS including 22,5 ECTS in Calculus and a course in Differential Equations.
Proficiency in English equivalent to Swedish upper secondary course English 5/A. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.


Guaranteed place Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.

Application code



Online applications are now open. You will be transferred to Application deadline is 16 April 2018.

Application and Tuition fees

As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.

Application fee


Tuition fee, first instalment


Total fee


Contact us

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Course is given by
Dept of Mathematics and Mathematical Statistics
Contactperson for the course is:
Study counselor Lars-Daniel Öhman