The course aims at providing the basic analytic tools for analyzing telecommunications systems.
Deterministic signals and their possible representations will be studied. Sampling theorem and the basics for analogic modulation are given.
The basics of probability theory and random processes will be also given.
Eventally, real telecommunication systems are analyzed.
Deterministic signals and their possible representations will be studied. Sampling theorem and the basics for analogic modulation are given.
The basics of probability theory and random processes will be also given.
Eventally, real telecommunication systems are analyzed.
teacher profile teaching materials
Axiomatic theory of probability. The axioms of probability. Bayes' theorem. Random variables. Distribution and probability density function. Mean, variance, moments, covariance matrix. Characteristic function. Functions of one random variable. Multiple random variables: joint distributions. Conditional distributions. Central limit theorem. Gaussian random variables: univariate and multivariate. Bernoulli random variable. Poisson random variable. Laws of large numbers. Stochastic processes: general concepts. Stationary processes. Ergodic processes and related theorems. Parametric stochastic processes. Linear and non-linear transformation of stochastic ergodic processes. Continuous-time random processes; gaussian process, P.A.M. random process, armonic process.
Alessandro Neri - Dispense su argomenti di Teoria della probabilità, Variabili Aleatorie, Processi Aleatori
Riccardo Leonardi, Pierangelo Migliorati, Esercizi di Teoria dei Segnali, Terza Edizione, Società Editrice Esculapio, 2011
Online material
Programme
Generality on communication systems. Message and signal definition. Signal representations. The signals as elements of a vectorial space. Generalized Fourier Representation. Cross and auto-correlation function: definition and properties. Linear transformations. Linear and time-invariant systems. I/O relations: convolution integral and its properties. Fourier series expansion. Fourier Transform. Parseval and Wiener theorems. Energy and power spectral density. Limited bandwidth signals. Sampling theorem. Sub-sampling effects. Hilbert transform. Analytical signal, complex envelope and low-frequency components of a band-pass signal. Bandwidth limited signals linear transformations and their samples relations.Analogic signals amplitude modulation (BLD-PI, BLD-PS, BLR, BLUE). Synchronous and envelope demodulation. Analogic signals angular modulation (phase and frequency). Frequency modulated demodulation schemes.Axiomatic theory of probability. The axioms of probability. Bayes' theorem. Random variables. Distribution and probability density function. Mean, variance, moments, covariance matrix. Characteristic function. Functions of one random variable. Multiple random variables: joint distributions. Conditional distributions. Central limit theorem. Gaussian random variables: univariate and multivariate. Bernoulli random variable. Poisson random variable. Laws of large numbers. Stochastic processes: general concepts. Stationary processes. Ergodic processes and related theorems. Parametric stochastic processes. Linear and non-linear transformation of stochastic ergodic processes. Continuous-time random processes; gaussian process, P.A.M. random process, armonic process.
Core Documentation
R. Cusani- Teoria dei Segnali- Ingegneria DuemilaAlessandro Neri - Dispense su argomenti di Teoria della probabilità, Variabili Aleatorie, Processi Aleatori
Riccardo Leonardi, Pierangelo Migliorati, Esercizi di Teoria dei Segnali, Terza Edizione, Società Editrice Esculapio, 2011
Online material
Type of delivery of the course
The course is taught through theoretical lectures and exercises in the classroom.Type of evaluation
During the COVID-19 emergency period, the examination will be carried out in accordance with the provisions of art.1 of the Rectoral Decree no. 703 of May 5, 2020, as detailed below. The exam consists of a first written test consisting in the solution of problems concerning the entire program of the course and delivered electronically and in an oral test concerning the entire program of the course. Students who have passed the intermediate tests are exempted from the written test and required to take the oral test only.