
Signals and Systems
 Title:  Signals and Systems  Lesson Code:  3215502  Semester:  3  ECTS:  5  Theory Hours:  3  Lab Hours:  2  Faculty:  Leros Asimakis 
  Content outline  Basic definitions of signals and systems, periodic signals, unit step, impulse function. Systems’ categories, static and dynamic systems, causal and noncausal systems, linear and nonlinear systems, time invariant and variant systems. Impulse response of linear systems. Convolution properties. Systems’ stability. Fourier Transform (FT) and inverse FT. Convergence and properties of FT. Application of FT to the study of linear systems, system’s frequency response, description of Linear Time Invariant (LTI) systems with differential equations and the FT, ideal lowpass filter. Fourier series, Fourier series of periodic functions, Fourier series for even or odd symmetry, Parseval’s theorem. Laplace transform, properties and theorems. Inverse Laplace transform. Relation of the Laplace and Fourier transforms. Bilateral Laplace transform. Use of the Laplace transform in the solution of linear differential equations. Use of the Laplace transform in the analysis of linear systems and the study of their stability. State space, state, observability, controllability. Signal and systems of discrete time. Z transform and its properties, inverse Z transform. FT of discrete time. Unilateral Z transform. Sampling – Nyquist’s theorem. Discrete Fourier Transform (DFT).   Learning outcomes  Upon completing the course, students will be able to:
 distinguish between systems and models, and understand their interrelation
 understand basic system properties such as linearity, causality, stability etc
 use basic exponential, trigonometric and generalized functions to represent physical signals
 describe the relation between systems and signals by mathematical tools such as differential equations, difference equations, convolution, frequency response etc
 compute the output signal from the input signal and the system's mathematical model
 mathematically describe the interconnection of systems
 understand the analysis and processing of signals in the frequency domain
 understand the sampling process and the relation between discretetime signals and their continuoustime counterparts
 use Matlab fr problem solving
  Basic Textbooks  1. Θεοδωρίδης Σέργιος, Μπερμπερίδης Κώστας, Κοφίδης Λευτέρης, Εισαγωγή στη θεωρία σημάτων και συστημάτων.
2. Καλουπτσίδης Νίκος, Σήματα, συστήματα και αλγόριθμοι.
3. Σήματα και συστήματα, Oppenheim / Willsky / Nawab.   Additional References  1. Simon Haykin and Barry Van Veen, Signals and Systems 2005 JustAsk! Edition, John Wiley & Sons, Inc.   Learning Activities and Teaching Methods  Lab exercises
Final written exam
Activity/Workload
Lectures: 39 hrs
Lab practice: 8 hrs
Lab assignments: 20 hrs
Personal study: 60 hrs
Final exam: 3 hrs
Total: 130 hrs (5 ECTS)   Assessment/Grading Methods 
Activity 
Semester workload 
Lectures 
39 hours 
Laboratory hours 
26 hours 
Personal study 
57 hours 


Final exams 
3 hours 
Course total 
125 hours (5 ECTS) 
  Language of Instruction  Greek, English (for Erasmus students)   Μode of delivery  Weekly class meetings
Lab practice (4 sessions per semester) 

