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Course detail
FEKT-BPA-ASIAcad. year: 2025/2026
One-dimensional (1D) and two-dimensional (2D) signals and systems with continuous time and their mathematical models. Signals sampling. One-dimensional (1D) and two-dimensional (2D) signals and discrete-time systems and their mathematical models. Examples of real signals. Representation in the time and frequency domains, Fourier representation of signals, mutual properties. FFT definition and method of calculation. Z transform, unilateral and bilateral transform, direct and inverse transform. Frequency response and transfer function. Modulations in communication technology. Definition of power spectral density. The issue is illustrated by the examples of specific signals and systems, and these examples are presented in Matlab. Numerical exercises are focused mainly on examples of signal processing and Fourier representation of signals. In the laboratory, measurements and simulations of signals and systems are done employing spectrum analyzer with FFT and using appropriate measurement products for specific measuring instruments.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Offered to foreign students
Entry knowledge
Rules for evaluation and completion of the course
It is possible to get 12 points for activity in lectures/exercises. The rest, i.e. 88 points, can be obtained in the final written exam.
Aims
Study aids
Prerequisites and corequisites
Basic literature
Recommended reading
Classification of course in study plans
specialization BPA-ECT , 2 year of study, summer semester, compulsory
Lecture
Teacher / Lecturer
Syllabus
1. Signals and their mathematical models 2. Systems and their mathematical models 3. Periodic signals and their spectrum4. Fourier representation of aperiodic continuous-time signals 5. Continuous-time systems6. Sampling of continuous-time signals7. Discrete-time signals8. Discrete-time Fourier transform9. Z transform and its properties10. Discrete-time systems11. Signals in base-band and shifted-band12. Stochastic variables, stochastic processes and their properties13. Power spectral density and its calculation
Exercise in computer lab
1. Signals and their mathematical models2. Complex numbers3. Periodic signals and their spectra4. Continuous-time impulse signals5. Signals and systems with discrete time6. Operations with discrete signals
Laboratory exercise