EU Signal Processing - 3PUETRSI

Goal(s)

To teach the basic theories and techniques of analog signal processing, essential for all engineers working in the fields of advanced signal processing, electronics, telecommunications and biotechnology. This course is an essential prerequisite for any subsequent specialization.
Illustrate fundamental applications: signal analysis and modeling, filtering, modulation, spectral analysis, noise suppression, etc.

This course is an introduction to signal theory for deterministic signals. It aims to

• provide the theoretical knowledge and practical tools to
  * describe and represent signals
  * describe and represent linear systems with 1 input and 1 output
• but also to
  * acquire the general knowledge required for discussions with experts
  * quantify the effects of signal processing tools, their possibilities and limitations.

Content(s)

Course :

• Distribution: basic concepts
• Signal representation: different classes of signals (finite energy, finite average power), correlation (auto and inter-correlation) and energy relations.
• Time-invariant linear filtering: linear and time-invariant systems; characterization of LCIT systems: impulse response, frequency response and transfer function; properties of linear filters; main linear filters
• Modulations: modulated signals, frequency shifting, amplitude and frequency modulations
• From continuous signal to digital signal and vice versa: sampling, Shannon's theorem, analog signal reconstruction

Practical work: practical sessions will complement and illustrate the concepts covered in lectures and practical sessions.

Basic mathematics
Series and Fourier transforms