TSKS21 |
Signals, Information and Images, 8 ECTS credits.
/Signaler, information och bilder/
For:
U
|
|
Prel. scheduled
hours: 64
Rec. self-study hours: 149
|
|
Area of Education: Technology
Main field of studies: Electrical Engineering
|
|
Advancement level
(G1, G2, A): G2
|
|
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.
|
|
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.
|
|
Organisation:
Teaching is given in the form of lectures, tutorials and laborations.
|
|
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.
|
|
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.
|
|
Examination: |
|
Written examination Laboratory work |
6 ECTS 2 ECTS
|
|
|
|
Course language is Swedish.
Department offering the course: ISY.
Director of Studies: Klas Nordberg
Examiner: Mikael Olofsson
Course Syllabus in Swedish
|
|