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Basis of Education Competence Standards Structure of Studies Development of Expertise Methods and implementation Course Table

EF19SP Bachelor Degree Programme in Information Technology (Internet of Things)

Course Description

Code4 EFA8130
NameMathematical Algorithms
Credits5 cr
Credits in Foreign Language5 cr
ObjectivesAfter the course the student knows discrete signal, especially digital filters and Fourier transformation basics of theory. He understands digital filter and spectrum analysis ways and can use MATLAB tool for simulation of digital processing problems. He can apply his signal processing knowledge in industrial and digital health applications.
Content1. Mathematical presentation of discrete signals
2. Sampling
3. Convolution
4. FIR filter function
5. IIR filter function
6. Classical FIR filters
7. Z-transformation
8. Transfer function
9. Frequence response
10. Inverse Z-transformation
11. DFT
12. FFT
13. FIR – filter design
14. IIR – filter design
15. Phase linear filters
17. Diskrete derivator
18. Wavelet transformation
20. Realising digital filters with processors
21. FFT algorhitm realisation with the processor
22. FPGA applications
RequirementsStudy module includes theory lectures and practical exercises. The grade composes of final exam (60%) and exercises (40%).
Grading Scale0 - 5
Course materialDiscrete Time Signal Processing, Oppenheim.
Other considerations
ContactToppinen Arto


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