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Signals and Systems

Module ID

Υ305

Semester

3

Hours/Week - ECTS

4 – 5

Karetsos George

Professor

Learning Outcomes

The course introduces students to the basic concepts of signal and systems theory, in continuous and discrete-time. Upon successful completion of the course students will be able:

  • to recognize the basic signals of continuous and discrete-time (for example exponential, sinusoidal, pitch, and percussion), identify properties of given signals (for example periodicity, symmetry, type of energy, or power), and perform basic signal conversions in its field time,
  • to determine whether given systems are linear and time-invariant (LTI) as well as to describe the importance of this category of systems,
  • to identify properties of LTI systems with a range of techniques in the field of time or transformation, choosing appropriate methods from the system description based on the input/output ratio, impact response, frequency response, or transfer function together with its convergence region,
  • to calculate convergent sums and integrals,
  • to analyze in the field of frequency various signals and stable LTI systems,
  • to perform sampling and reconstruction of signals using appropriate parameters/functions.

Indicative Module Content

  • Basic signals of continuous and discrete time.
  • Properties of continuous and discrete time signals.
  • Properties of continuous and discrete time systems.
  • Linear, time invariant (LTI) systems.
  • Representation of periodic signals as Fourier series.
  • Continuous time Fourier transform.
  • Analysis of LTI systems in the field of time and frequency.
  • Telecommunication systems representation and analysis.
  • Laplace transform and its use for LTI systems analysis.