# Università degli Studi di Napoli "Parthenope"

## Teaching schedule

2021/2022
Belonging course:
Course of Bachelor's Degree Programme on COMPUTER SCIENCE, BIOMEDICAL AND TELECOMMUNICATIONS ENGINEERING
Disciplinary sector:
TELECOMMUNICATIONS (ING-INF/03)
Language:
Italian
Credits:
12
Year of study:
3
Hours of front activity:
96

Italian

### Course description

*) Knowledge and understanding: the student has to prove its knowledge about the theoretic principles of random variables and processes, modulations and TLC networks.
*) Applying knowledge and understanding: the student should be able to analyse and design different modulation schemes, both numerical and analogical.
*) Making judgements: the student should be able to critically analyse the performances and the critical points of a data transmission system.
*) Communication: the student should be able to clearly express the technical concepts and correctly user the scientific language.
*) Learning skills: the student should be able to update the acquired knowledge by using different sources, and to achieve a deeper knowledge of the field, being able to follow master courses within the telecommunication sector.

### Prerequisites

It is needed to learn from the courses “Teoria dei segnali” the following knowledge:

fundamental concepts of signal analysis, in particular by using the Fourier transform
(direct and inverse).

### Syllabus

PROBABILITY (4 hours):
Probability space. Kolmogorov axioms. Joint and conditional probability. Total probability and Bayes' theorem.
RANDOM VARIABLES (R.a.) (20 hours):
Definition. Cumulative Distribution Function (CDF). R.a. continuous, discreet, mixed. Probability density functions (pdf) and probability distribution (DF) functions. Examples. Transformations of r.a. Mean, variance and mean square value. Mean theorem. Moments. Pairs and vectors of r.a. Joint CDF, pdf and DF. Independence. Transformations of pairs of r.v. Schwartz inequality. Orthogonality. Correlation coefficient. Correlation and covariance matrix. Gaussian vectors. Conditional distributions and averages.
RANDOM PROCESSES (16 hours)
Random Processes (r.a.). Statistical description. Auto and cross correlation and covariance function. SSS and SSL r.a. Cyclostationary processes, Gaussian processes. Independent, orthogonal and uncorrelated random processes. IID processes. Temporal mean and Power of r.a. Ergodicity. Power spectral density. Wiener-Khinchin theorem. AWG noise. Noise figure. Noise equivalent temperature. Cascade systems. Hilbert transform. Passband signals and systems. Noise and passband processes.

ANALOGICAL MODULATIONS (18 hours)
Linear modulations (DSB, AM, SSB). Angular modulations (FM, PM). Demodulation and noise in linear and angular modulations. Pre-emphasis and De-emphasis. Systems comparison.

NUMERICAL MODULATIONS (32 hours)
Source coding. First Shannon’s theorem. Quantization. Channel coding. Second Shannon’s theorem. Numerical transmissions over AWGN. Signals geometrical representation. Base band transmission (PAM, PPM). Optimal receiver. Correlation based demodulator. Matched filter demodulator. Optimal detection criteria: MAP and ML. Error probability. Union Bound. Regenerative repeater. Pass band transmissions. ASK, FSK, PSK. Comparison between different modulation schemes.

FOUNDATIONS OF COMPUTER NETWORK (6 hours)
PSTN and internet, ISO/OSI standard, Physical, Data Link, Net and Transport layers. TCP/IP, wireless network standards, routing.

PROBABILITY (4 hours)
RANDOM VARIABLES (20 hours)
RANDOM PROCESSES (16 hours)
ANALOGICAL MODULATIONS (18 hours)
NUMERICAL MODULATIONS (32 hours)
COMMUNICATION NETWORKS OVERVIEW (6 hours)

### Teaching Methods

The course is divided into frontal lessons and excercises.

### Textbooks

1) A. Leon-Garcia, Probability and Random Processes for Electrical Engineering, Addison-Wesley, 2nd edition, 1994.
2) J. G. Proakis, M. Salehi, Communication Systems Engineering, Prentice Hall, 1994.
3) A. S. Tanenbaum, , David J. Wetherall, Reti di calcolatori, 5a Edizione, Pearson, 2011.
4) online matherial.
5) Giacinto Gelli, Probabilità e informazione, 2015.

### Learning assessment

The examination aims at verifying the achievement of the previously
stated educational targets. The examination is divided in an oral and a written test.
The written test has the aim of evaluating the student capacity of treating random phenomenons, develop and analyse different modulation strategies by using the techniques studied during the lessons; the minimal score to pass the test is 14 of 30; students have 2 hours to complete the test.
The oral exam is intended for evaluating the student ability in linking an analysing the different topics studied during the course; the minimal score to pass the test is 18 of 30.
The final grade is a weighted mean of the two scores. The weight applied to the written test is 1/3, while it is 2/3 in case of the oral one. In case the global grade is below 18, the student has to repeat the two tests.