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Blekinge Institute of Technology
Department of Applied Signal Processing
COURSE SYLLABUS
Flerdimensionell signalbehandling
Multidimensional Signal Processing
7,5 ECTS credit points (7,5 högskolepoäng)
Course code: ET2546
Educational level: Advanced level
Course level: A1N
Field of education: Technology
Subject group: Electrical Engineering
Subject area: Electrical Engineering
Version: 2
Applies from: 2013-07-01
Approved: 2013-05-29
Replaces course syllabus approved: 2011-06-17
1 Course title and credit points
The course is titled Multidimensional Signal
Processing/Flerdimensionell signalbehandling and
awards 7,5 ECTS credits. One credit point
(högskolepoäng) corresponds to one credit point in
the European Credit Transfer System (ECTS).
2 Decision and approval
This course is established by Department for
Electrical Engineering 2013-05-29. The course
syllabus was revised by School of Engineering and
applies from 2013-07-01.
Reg.no: BTH-4.1.1-0496-2013.
Replaces ET2403.
3 Objectives
The course aims at making the student expand
her/his knowledge within digital signal processing
to multidimensional signals and systems, e.g.
analysis and construction of multidimensional filters
and spectral analysis of multidimensional signals.
The applications in the course mainly deal with
two-dimensional signal processing, i.e. image
processing.
4 Content
Central items of the course are:
Signals, systems, Fourier- and Z-transform
•Two-dimensional signals and linear time-invariant
systems
•The Fourier transform and the frequency
concept for two-dimensional signals, e.g.
images
•The sampling theorem for two dimensions
•Two-dimensional Z-transform, convergence,
pole surfaces and stability
•Two-dimensional difference equations,
recursive countability and masks
•Two-dimensional DFT and FFT
•The discrete cosinus transform
Multidimensional digital filters
page 1
•FIR filters: zero-phase filter, the window method,
the frequency sampling method, the frequency
transformation method
•Optimal filter design
•IIR-filter: Design in spatial domain
•Design in frequency domain
•Implementation
•Stabilization
Spectral estimation
•Two-dimensional stochastic processes
•Correlation and spectral density
•The Wiener filter
•Methods for spectral estimation based on the
Fourier transform
•High-definition methods, the Maximum
Likelihood Method, the Maximum Entropy Method
•Autoregressive signal modeling
Image processing
•Bases for image processing
•Representation of color images
•Image enhancement: contrast amplification,
histogrammodification, spatial noise reduction,
high-pass filtration
•Homomorphic image processing
•Low-pass filtration
•Median filtration
•Edge detection
•Motion estimation
•Image reconstruction: Wiener filtration
•Spectral subtraction
5 Aims and learning outcomes
After completion of the course the student will:
•be able to understand and apply the concept
multidimensional signal processing.
•be able to understand and use relevant frequency
transformations in various dimensions, e.g. the
Z-transform, the Fourier transform.
•be able to design and use filters according to given
specifications in various dimensions.
•be able to estimate effect spectra according to
classical methods.
•have a basic understanding of digital processing of
images, and be able to make use of ordinary linear
and non-linear filter structures.
6 Generic skills
7 Learning and teaching
The teaching comprises lectures, laboratory work,
project work and exercises. During the arithmetical
exercises the theory is applied to signal processing
problems.
In order to further explain the theory and its
applications compulsory laboratory work
assignments form part of the course. The laboratory
work assignments are based on programming
assignments where program packages for signal and
image processing are used. The laboratory work
assignments can be done individually or in a group.
The project assignment consists of the student
making an in-depth study of one of the image
processing methods that are brought up in the
course. The laboratory work assignments and the
project assignment are compulsory and will be
solved individually or in a group.
The teaching language is partly, or fully, English
8 Assessment and grading
Examination of the course
-------------------------------------------------
Code Module Credit Grade
-------------------------------------------------
1310 Exam[1] 6 ECTS A-F
1320 Laboration 1.5 ECTS G-U
-------------------------------------------------
1 Determines the final grade for the course, which
will only be issued when all components have been
approved.
The course will be graded A Excellent, B Very good,
C Good, D Satisfactory, E Sufficient, FX Insufficient,
supplementation required, F Fail.The examination
will take place through a written examination and
also through presentation of the compulsory
laboratory work assignments and the project
assignment. The project assignment is presented
through an oral presentation. The final grade for the
course requires a Pass in all components and final
grade for the course is given by the score on the
exam.
If grade FX are given, the student may after
consultation with the course coordinator / examiner
get an opportunity to within 6 weeks complement to
grade E for the specific course element.
9 Course evaluation
The course coordinator is responsible for
systematically gathering feedback from the students
in course evaluations and making sure that the
results of these feed back into the development of
the course.
10 Prerequisites
For admission to the course the following course is
required: Signal Processing II, ET1303 7,5 credit
points
page 2
11 Field of education and subject area
The course is part of the field of education and is
included in the subject area Electrical Engineering.
12 Restrictions regarding degree
The course cannot form part of a degree with
another course, the content of which completely or
partly corresponds with the contents of this course.
13 Course literature and other teaching material
s

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Syllabus-ET2546-Multidimensional Signal Processing

  • 1. Blekinge Institute of Technology Department of Applied Signal Processing COURSE SYLLABUS Flerdimensionell signalbehandling Multidimensional Signal Processing 7,5 ECTS credit points (7,5 högskolepoäng) Course code: ET2546 Educational level: Advanced level Course level: A1N Field of education: Technology Subject group: Electrical Engineering Subject area: Electrical Engineering Version: 2 Applies from: 2013-07-01 Approved: 2013-05-29 Replaces course syllabus approved: 2011-06-17 1 Course title and credit points The course is titled Multidimensional Signal Processing/Flerdimensionell signalbehandling and awards 7,5 ECTS credits. One credit point (högskolepoäng) corresponds to one credit point in the European Credit Transfer System (ECTS). 2 Decision and approval This course is established by Department for Electrical Engineering 2013-05-29. The course syllabus was revised by School of Engineering and applies from 2013-07-01. Reg.no: BTH-4.1.1-0496-2013. Replaces ET2403. 3 Objectives The course aims at making the student expand her/his knowledge within digital signal processing to multidimensional signals and systems, e.g. analysis and construction of multidimensional filters and spectral analysis of multidimensional signals. The applications in the course mainly deal with two-dimensional signal processing, i.e. image processing. 4 Content Central items of the course are: Signals, systems, Fourier- and Z-transform •Two-dimensional signals and linear time-invariant systems •The Fourier transform and the frequency concept for two-dimensional signals, e.g. images •The sampling theorem for two dimensions •Two-dimensional Z-transform, convergence, pole surfaces and stability •Two-dimensional difference equations, recursive countability and masks •Two-dimensional DFT and FFT •The discrete cosinus transform Multidimensional digital filters page 1 •FIR filters: zero-phase filter, the window method, the frequency sampling method, the frequency transformation method •Optimal filter design •IIR-filter: Design in spatial domain •Design in frequency domain •Implementation •Stabilization Spectral estimation •Two-dimensional stochastic processes •Correlation and spectral density •The Wiener filter •Methods for spectral estimation based on the Fourier transform •High-definition methods, the Maximum Likelihood Method, the Maximum Entropy Method •Autoregressive signal modeling Image processing •Bases for image processing •Representation of color images •Image enhancement: contrast amplification, histogrammodification, spatial noise reduction, high-pass filtration •Homomorphic image processing •Low-pass filtration •Median filtration •Edge detection •Motion estimation •Image reconstruction: Wiener filtration •Spectral subtraction 5 Aims and learning outcomes After completion of the course the student will: •be able to understand and apply the concept multidimensional signal processing. •be able to understand and use relevant frequency transformations in various dimensions, e.g. the Z-transform, the Fourier transform. •be able to design and use filters according to given specifications in various dimensions. •be able to estimate effect spectra according to
  • 2. classical methods. •have a basic understanding of digital processing of images, and be able to make use of ordinary linear and non-linear filter structures. 6 Generic skills 7 Learning and teaching The teaching comprises lectures, laboratory work, project work and exercises. During the arithmetical exercises the theory is applied to signal processing problems. In order to further explain the theory and its applications compulsory laboratory work assignments form part of the course. The laboratory work assignments are based on programming assignments where program packages for signal and image processing are used. The laboratory work assignments can be done individually or in a group. The project assignment consists of the student making an in-depth study of one of the image processing methods that are brought up in the course. The laboratory work assignments and the project assignment are compulsory and will be solved individually or in a group. The teaching language is partly, or fully, English 8 Assessment and grading Examination of the course ------------------------------------------------- Code Module Credit Grade ------------------------------------------------- 1310 Exam[1] 6 ECTS A-F 1320 Laboration 1.5 ECTS G-U ------------------------------------------------- 1 Determines the final grade for the course, which will only be issued when all components have been approved. The course will be graded A Excellent, B Very good, C Good, D Satisfactory, E Sufficient, FX Insufficient, supplementation required, F Fail.The examination will take place through a written examination and also through presentation of the compulsory laboratory work assignments and the project assignment. The project assignment is presented through an oral presentation. The final grade for the course requires a Pass in all components and final grade for the course is given by the score on the exam. If grade FX are given, the student may after consultation with the course coordinator / examiner get an opportunity to within 6 weeks complement to grade E for the specific course element. 9 Course evaluation The course coordinator is responsible for systematically gathering feedback from the students in course evaluations and making sure that the results of these feed back into the development of the course. 10 Prerequisites For admission to the course the following course is required: Signal Processing II, ET1303 7,5 credit points page 2 11 Field of education and subject area The course is part of the field of education and is included in the subject area Electrical Engineering. 12 Restrictions regarding degree The course cannot form part of a degree with another course, the content of which completely or partly corresponds with the contents of this course. 13 Course literature and other teaching material s