Signals and SystemsCourse code: 140217 | 6 ECTS credits
Level of Studies:Undergraduate applied studies
Year of Study:1
Goal:The objective of the course is that students earn knowledge on continuous and discrete signals and systems, both in time and frequency domain.
Outcome:Knowledge of basic signals, types of signals and operations over signals. Application of transformations for switching from time to complex and frequency domain. Knowledge of linear, time invariant systems. Knowledge that is needed for all later subjects where the signals and systems are studied and also their analysis, modeling and processing.
Contents of the course
Introduction to the theory of signals and systems. Basic characteristics and types of signals and systems.
Operations over continuous signals.
Overview and properties of continuous systems.
Characteristics of continuous linear stationary systems.
Differential equations and their application. Fundamentals of differential equations.
Elementary discrete signals.
Overview and properties of discrete systems.
Laplace transform. Characteristics of Laplace transform. Inverse Laplace transformation.
System transfer function and one-sided Laplace transform. Impulse and step response.
Decomposition of the transfer function to partial fractions. Algebra of the transfer function.
Periodic continuous signals and Fourier series.
Aperiodic continuous signals and Fourier transform.
Convergence of the Fourier transform. Amplitude and phase of the signal spectrum.
Characteristics and application of the Fourier transform. The sampling theorem.