Signals and Systems
FEKT-KSASAcad. year: 2017/2018
Introduction, motivation, types of signals. Continuous-time signals, Fourier transform, spectrum. Linear,continuous-time systems, input-output description. Stability. Discrete-time signals, sampling. Discrete Fourier transform, spectrum. Linear discrete-time systems, input-output description. Stability of the discrete-time systems. Discretization of continuous systems.
Learning outcomes of the course unit
An absolvent is able to:
- compute a freguency spectrum of continuos periodic and non- periodic signal
- demonstrate an input-output description of linear continuos system
- decide about stability of linear continuous system
- compute a freguency spectrum of discrete periodic and non- periodic signal
- demonstrate an input-output description of linear discrete system
- decide about stability of linear discrete system
- convert continuous system on discrete system
Differential and integral calculus one variable, Fourier series, Fourier transform, linear differential equations, Laplace transform, linear difference equation, Z transform.
Recommended optional programme components
Recommended or required reading
Chi-Tsong Chen:System and Signal Analysis,Saunders College publishing, 1994. (EN)
Jura P.: Signály a systémy. Elektronické skriptum, část I, II, III, třetí opravené vydání, 2016 (CS)
Planned learning activities and teaching methods
Teachning methods include lectures with demonstrations of practical computations. Students have to write 7 projects.
Assesment methods and criteria linked to learning outcomes
30 points for 7 homework during semester
70 points for semestr exam (only written)
Language of instruction
Introduction, motivation, continuos-time signals.
Fourier transform, frequency spectrum.
Linear, time-continuous systems, differential equations, Laplace transform.
Transfer function, zeros and poles, frequency response.
Frequency characteristics of the linear system.
Step response, impulse response.
Stability of the continuous systems.
Discrete-time signals, sampling of the continuous-time signal.
Discrete Fourier transform, the spectrum of the discrete time signal.
Discrete time system, difference equations, Z transform.
Transfer function, zeros and poles, frequency response, frequency characteristics.
Step response, impulse response. Stability of the discrete systems, discretization of continuous-time systems.
To acquaint with the fundamentals of signals and systems with the continuous and discrete time. Learn to apply the fundamentals to real signals and systems.
Specification of controlled education, way of implementation and compensation for absences
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.
Classification of course in study plans