# COMMUNICATION FUNDAMENTALS (UNIT 1) cod. 1009715

1° anno di corso - Primo semestre
Docenti
Settore scientifico disciplinare
Telecomunicazioni (ING-INF/03)
Ambito
Ingegneria delle telecomunicazioni
Tipologia attività formativa
Caratterizzante
48 ore
di attività frontali
6 crediti
sede: PARMA
insegnamento
in INGLESE

Modulo dell'insegnamento integrato: COMMUNICATION FUNDAMENTALS

## Obiettivi formativi

Knowledge and understanding:
The main goal of this course is to provide the
students with A refresher (with a reinforcement
tailored towards the upcoming courses) of the key
concepts in linear algebra, probability theory and
system analysis they should have encountered in
their Bachelor studies.
The refreshed mathematical tools will allow them to
manage both deterministic and stochastic signals
both in continuous- and discrete-time, as well as
their linear transformations.
Applying knowledge and understanding:
The abilities to apply the acquired knowledge and
understanding are:
PART 1:
- to understand and apply the basic concepts of
linear vector spaces and their basic operations.
- to manipulate Hermitian, unitary, and projection
matrices. To perform a spectral or singular value
matrix decomposition
- to apply basic probabilty theory to solve practical
problems
PART 2:
- to apply Fourier and Z transform techniques tosolve linear filtering problems
- to calculate the spectral properties of filtered
stochastic processes
- to use the complex equivalent lowpass
representation of real bandpass stochastic
processes

## Prerequisiti

A very basic knowledge of linear spaces, matrix
operations and basic probability is
assumed.

## Contenuti dell'insegnamento

PART 1 (BONONI)
Basics of linear spaces.
matrix theory, eigenvalues, eigenvectors, spectral decomposition, singular value decomposition.
Introduction to probability theory. Basic concepts: conditioning, total probability, Bayes law
Scalar and muti-dimensional random variables.
stochastic processes.

PART 2 (COLAVOLPE)
Wrapup of basic complex-number calculus
Continuous Fourier transform and its properties
Sampling and aliasing
Discrete Fourier transforms and its properties
Two-sided Z transform and its properties
Spectral analysis of stochastic processes: the
Wiener Khinchin theorem.
Passband signals: lowpass equivalent.

## Programma esteso

PART 1 (BONONI)
Basics of linear spaces.
matrix theory, eigenvalues, eigenvectors, spectral decomposition, singular value decomposition.
Introduction to probability theory. Basic concepts: conditioning, total probability, Bayes law
Scalar and muti-dimensional random variables.
stochastic processes.

PART 2 (COLAVOLPE)
Wrapup of basic complex-number calculus
Continuous Fourier transform and its properties
Sampling and aliasing
Discrete Fourier transforms and its properties
Two-sided Z transform and its properties
Spectral analysis of stochastic processes: the
Wiener Khinchin theorem.
Passband signals: lowpass equivalent.

## Bibliografia

TEXTBOOKS
[1] A. B. Carlson, Communication Systems: An
Introduction to Signals and Noise in Electrical
Communication. McGraw-Hill, 1986.
[2] A. Papoulis, Probability, Random Variables and
Stochastic Processes. New York, NY: McGraw-Hill,
1991.
[3] A. V. Oppenheim and R. W. Schafer, Discrete-
Time Signal Processing. New Jersey: Prentice Hall,
2nd ed., 1999.

## Metodi didattici

Lectures and exercises (approximately with a ratio
80%-20%)

## Modalità verifica apprendimento

Exams will be oral with possibly written exercises.

## Altre informazioni

1) Course structure
(each lecture 2 hours)
Part 1 will use 2 lectures per week and will finish at
mid-semester. Part 2 will use 1 lecture per week across the whole semester.

2) only in case COVID emergency persists:
All Classes will be held ALSO online on Teams.

3) Office Hours
BONONI:
Monday 15:00-17:00 (Scientific Complex, Building 2, floor 2, Room
2/19T).
COLAVOLPE:
Wednesday 15:00-17:00 (Scientific Complex, Building 2, floor 2, Room
2/21).
You can also meet your instructor on Teams after making an appointment by email.

4) teaching material:It will be posted on the (unique) Elly course website.