Have a level bac + 2 in electronics (BTS, DUT, L2) and basis on mathematics for deterministic and random signals.

The main objective of this course is to give to students a clear view on the characterisation (time and frequency domain, spectrum and probability density function) of deterministic and random signals.

• Time and frequency representation (Fourier transform and power spectral density),
• Study of filtering operations (convolution operation)

Sampling and analog to digital conversion

Upon completion of the subject, students will be able to:
Professional/academic knowledge and skills

• skills in Fourier analysis and transform, able to go from the time to frequency domain and vice versa,
• able to characterize deterministic and random signals in the frequency domain (Fourier transform, random processes, autocorrélation function, power spectral density),
• able to characterize amplitude of random signals (random variables, probability density function, cumulative distribution function),
• able to study a signal processing chain with addition and multiplication of random signals, able to compute the signal to noise ratio at the output of a signal processing chain,
• able to characterize narrow band signals (complex envelope, low pass equivalent chain), able to study a transmission system with amplitude modulation,
• able to use Matlab software for simulations of signal processing studies.