Sarjat, Fourier- ja z-muunnos (MATLT0003), 3 op

Basic information

Prerequisites

Basic course in mathematics A (MATLT0111),
basic course in mathematics B (MATLT0112),
Laplace transform (MATLT0114)

Course contents (core content level)

Arithmetic and geometric sequences and series
Power series
Taylor series, series expansions of functions
Fourier series
Spectra of periodic signals
Fourier and z transforms, tables for them
DFT, FFT, IFFT
Sampling theorem (Nyquist criterion), folding
Discrete systems, difference equations
Transfer functions, block diagrams

Course contents (additional)

Finding Fourier coefficients through integration
Parseval?s theorem

Core content level learning outcomes (knowledge and understanding)

The student is familiar with the basic concepts mentioned above. He/she can write functions as power series. He/she can plot spectra using Matlab.

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Core content level learning outcomes (skills)

The student knows how to form and interpret spectra.
The student knows how to solve difference equations with the z transform
He/she can use mathematical tables and Matlab to get the Fourier and z transforms

Recommended reading

Material specified by the lecturer

Teaching and learning strategies

Class room teaching: 42 h
Laboratory exercises: 14 h
Exams: 6 h
Student individual workload 18 h (student workload analysis is not carried out)
Total: 80 h

Teaching methods and student workload

Assessment weighting and grading

2 exams (Minimum 40% of the maximum score)
Approval of the computer labs

Related competences of the degree programme

Theoretical basis and mathematical and science skills