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MAT900_1

Fourier and Wavelet Analysis

This is the study programme for 2019/2020. It is subject to change.


Fourier analysis is based on the concept that real world signals can be approximated by a sum of sinusoids called a Trigonometric Fourier Series.

Learning outcome

After completing this course students will:
1. Understand the terminology, scope, main results, and applications of mathematical signal and image processing and Fourier analysis
2. Be able to compute and apply Fourier series and transforms, and use them to solve problems in mathematics, science, and engineering
3. Know the basic terminology and results of inner product spaces, Hilbert spaces, and normed linear spaces, such as the L^p spaces, and how they relate to signal and image processing
4. Understand wavelet analysis and multiresolution analysis and their applications.

Contents

Fourier analysis is based on the concept that real world signals can be approximated by a sum of sinusoids called a Trigonometric Fourier Series. The course will cover basic topics in Fourier and Wavelet Analysis. Topics will include Fourier Series and Transform, fast, discrete and windowed Fourier transform, Wavelet Analysis and Multiresolutional Analysis, and some application to practical problems.

Required prerequisite knowledge

None.

Exam

Weight Duration Marks Aid
Written assignment1/1 Pass - FailAll written and printed means are allowed. Calculators are allowed.

Course teacher(s)

Course coordinator
Alexander Ulanovskii
Head of Department
Bjørn Henrik Auestad , Gro Johnsen

Method of work

Guided self-tuition. Lectures can in some instances be arranged.

Overlapping courses

Course Reduction (SP)
Fourier and Wavelet Analysis (DPE160_1) 10

Open to

PhD studies at the Faculty of Science and Technology

Course assessment

Form and/or discussion

Literature

Utvalgte kapitler av George Bachman, Lawrence Narici, Edward Beckenstein: Fourier and Wavelet Analysis (2000) og Mark Cartwrite: Fourier Methods for Mathematicians, Scientists and Engineers (1990). Tillegglitteratur: Frank Jones: Lebesque Integration on Eucledian Space (1993).


This is the study programme for 2019/2020. It is subject to change.

Sist oppdatert: 13.11.2019

History