Signals and Systems

Professors George Efthymoglou (Department Chair)
Evangelos Haleplidis
Course category Core
Course ID DS-307
Credits 5
Lecture hours 3 hours
Lab hours 2 hours
Digital resources View on Aristarchus (Open e-Class)

Learning Outcomes

The aim of the course is to familiarize students with the description of continuous time and discrete time signals and linear systems. The student will acquire knowledge of various techniques for signal processing in the time and frequency domains.  The signal processing theory will be used to the spectral analysis of signals and the transmission of OFDM signals.

Upon successful completion of the course the student will be able to:

  • Analytically describe signals and systems in the time and frequency domains
  • Obtain the transfer function and frequency response of digital filters
  • Obtain the frequency response of filters and the filter output in the time domain using the Matlab/octave software tool.
  • Understand the use of DFT in the spectral analysis of signals
  • Understand how OFDM signals are generated using IDFT.

Course Contents

  • Spectrum of continuous time energy signals, Fourier series of periodic signals, Parseval theorem.
  • Transfer function of continuous time linear systems, bode plots, impulse response and convolution.
  • Sampling theorem, spectrum of discrete time signals.
  • Difference equations for discrete time systems, discrete time convolution.
  • Z transform and Inverse-Z transform.
  • Frequency response of discrete time signals and systems.
  • Discrete Fourier Transform (DFT) and Inverse DFT
  • Circular convolution using DFT/IDFT
  • Linear convolution using DFT/IDFT
  • Spectral analysis using DFT
  • Creation of OFDM signal using IDFT

Recommended Readings

  • Vinay Ingle & John Proakis, (2012) Digital Signal Processing using Matlab, 3rd edition, Cengage Learning.
  • C. Ifeachor, B.W. Jervis, «DSP A Practical Approach», 2nd edition, Prentice Hall 2002, ISBN 0201-59619-9.
  • Β. Mulgrew, P. Grant P. & J. Thomson, (2003): Digital Signal Processing Concepts and Applications, 2nd Edition, Palgrave Mackmillan.