| TSKS21 |
Signals, Information and Images, 8 ECTS credits.
/Signaler, information och bilder/
For:
U
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Prel. scheduled
hours: 64
Rec. self-study hours: 149
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Area of Education: Technology
Main field of studies: Electrical Engineering
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Advancement level
(G1, G2, A): G2
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Aim:
After passing the course, the student should be able to
- analyze a given passive electrical circuit with respect to direct current and alternating current properties.
- determine the output from both time-continuous and time-discrete stable LTI systems, given a description of the input and the system, in the time domain as well as in the frequency domain.
- understand and apply the sampling theorem.
- describe the fundamentalk limits for compression and transmission of signals and information, perform simple calculations related to these, and understand how these relate to the physical reality.
- describe and exhibit ingineering understanding of the basic principles for techniques for storing and transmission of information that are used in practice.
- describe 2D continuous and discrete signals in the spatial domain, sampling, convolution and the most common cores.
- interprete the result of a 2D Fourier transform fouriertransform of an image, such as understanding what a spatial frequency means / interpretation of the most common filters.
- describe fundamental geometrical image transformations and color models.
- account for the connection between different concepts in the course in a structured way using adequate terminology.
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Ordinary differential equations and difference equations of low orders. Matrix- and vector concepts, determinant, inner product, bases, the least-square method. One-dimensional and multi-dimensional calculus, especially derivatives and integrals. General ability to program, preferrably including Matlab.
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Organisation:
Teaching is given in the form of lectures, tutorials and laborations.
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Course contents:
Electrical cirquits:
- Direct Current �?" Ohm�?Ts law, Kirchhoff�?Ts laws.
- Alternating Current �?" the j-omega method.
Signals and Systems, in continuous time as well as in discrete time �?" the concept of LTI systems and their connection to difference and differential equations.
- Examples of signals in applications of electrical engineering.
- Analysis in the time domain �?" Unit impulses, impulse response, convolution.
- Analysis in the frequency domain �?" Fourier series and transforms. Also the cosine transform, used in JPG. The Sine-in-sine-out principle for stable LTI systems.
- Sampling and reconstruction using pulse-amplitude modulation. The sampling theorem.
- Quantization, noise.
Information
- Entropy
- Data compression �?" Huffman codes
- Error correction �?" Hamming kodes �?" Fundamental limits.
Images:
- The JPG format �?" Compression of images using the JPG format.
- From 1D to 2D: Fourier transforms, DFT, sampling, and convolution.
- Linear operations on digital images.
- 2D geometry.
- Color models and histogram operations.
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Course literature:
Mandal & Asif, Continuous and Discrete Time Signals and Systems, Cambridge University Press, 2007.
Magnusson, Signal- och Bildbehandling, compendium, ISY, LiU, 2013.
Additional material distributed during the course.
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Examination: |
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Written examination
Laboratory work
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6 ECTS
2 ECTS
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Course language is Swedish.
Department offering the course: ISY.
Director of Studies: Klas Nordberg
Examiner: Mikael Olofsson
Course Syllabus in Swedish
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