


Politecnico di Torino  
Academic Year 2007/08  
02CTPHL, 02CTPHI Signal theory 

1st degree and Bachelorlevel of the Bologna process in Computer Engineering  Verres/Ivrea 1st degree and Bachelorlevel of the Bologna process in Mechatronic Engineering  Verres/Ivrea 





Objectives of the course
The following competences are taught: fundamental tools for analysis and processing of deterministic and random signals

Syllabus
Deterministic and continuoustime signals and systems
' Definition of energy and power ' Fourier analysis: series and transforms ' Energy and power spectrum; autocorrelation functions ' Periodic signals and their spectrum ' Continuoustime linear and timeinvariant systems: impulse response, convolution, frequency response ' FIlters ' Sampling theorem Continuoustime random processes ' Fundamentals of continuoustime random processes ' Statistical characterization: probability density functions, ensemble averages, autocorrelation ' Stationary and cyclostationary processes ' Spectral analysis of stationary processes; power spectral density ' Statistical characterization of filtered random processes ' Ergodic processes ' Processes frequently used in communications: Gaussian processes, white and colored Gaussian noise, data transmission processes ' Models of communication channels 
Revisions / Exam
Written examination

