Course contents: Introduction to Signals and Systems. Elementary signals. Linear and Time Invariant Systems. Mechanical and electrical systems. Convolution. Fourier series. Fourier Transform. Laplace Transform. Applications of the Fourier and Laplace transform. Electric circuits. Analog Filters.

At the end of the course the student will be able to:

• describe the differences between causal and stochastic signals as well as describe the basic properties of continuous time signals.
• describe the modeling of systems through the fundamental concepts of linearity, causality, temporal variability and bounded input bounded output (BIBO) stability.
• describe the relationship between input and output of a linear and time-invariant (LTI) continuous time system through the convolution integral
• analyze periodic signals through the complex Fourier exponential series and also the Fourier trigonometric series.
• describe and applie the Fourier and Laplace transforms to describe the input-output relationship of continuous time linear systems.
• calculate the frequency response and transmission function of continuous time systems
• solve linear differential equations describing linear systems of continuous time, with examples from the theory of mechanical oscillators, electrical filters, and simple telecommunication systems

Assessment: Written exam at the end of the semester. Laboratory exercises count for 20% of the overall final examination mark.