FOUNDATIONS OF SIGNALS AND TRASMISSIONS

Stefano MARANO FOUNDATIONS OF SIGNALS AND TRASMISSIONS

0612700115
DIPARTIMENTO DI INGEGNERIA DELL'INFORMAZIONE ED ELETTRICA E MATEMATICA APPLICATA
EQF6
COMPUTER ENGINEERING
2021/2022



OBBLIGATORIO
YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2017
SPRING SEMESTER
CFUHOURSACTIVITY
648LESSONS
324EXERCISES


Objectives
THE COURSE PROVIDES THE BASIC TOOLS AND METHODS FOR MODELING AND ANALYZING SIGNALS, IN TIME AND FREQUENCY DOMAINS, AND THE FUNDAMENTALS OF SIGNAL TRANSMISSION.

KNOWLEDGE AND UNDERSTANDING:
PROBABILITY AND RANDOM VARIABLES. REPRESENTATION OF PERIODIC SIGNALS. SIGNAL SPACE. CONTINUOUS AND DISCRETE FOURIER TRANSFORMS. ANALYSIS OF SIGNAL AND SYSTEMS IN CONTINUOUS AND DISCRETE TIME, DETERMINISTIC AND RANDOM, IN TIME AND FREQUENCY DOMAINS. A/D CONVERSION AND DIGITAL SIGNAL ANALYSIS. DIGITAL TRANSMISSIONS.


APPLYING KNOWLEDGE AND UNDERSTANDING
APPLYING PROBABILITY AND STATISTICAL TOOLS TO SOLVE SIGNAL PROCESSING TASKS AND COMMUNICATION PROBLEMS (E.G., DETECTION AND CLASSIFICATION OF SIGNALS TRANSMITTED OVER NOISY CHANNELS). DESIGN OF THE MAIN BLOCKS FOR ANALOG TO DIGITAL CONVERSION. DESIGN OF SIMPLE DIGITAL MODULATION SCHEMES. COMPUTATION OF THE SYSTEM PERFORMANCE (ERROR PROBABILITY) OF DIGITAL COMMUNICATIONS SCHEMES, IN FUNCTION OF BANDWIDTH AND POWER RESOURCES.
Prerequisites
PREREQUISITES: SUITABLE KNOWLEDGE OF MATHEMATICS.
PREPARATORY COURSES: MATHEMATICAL ANALYSIS II.
Contents
ELEMENTS OF PROBABILITY THEORY (LECTURE / PRACTICE / LABORATORY HOURS 11/5/0).
AXIOMS OF PROBABILITY. CONDITIONAL PROBABILITY AND INDEPENDENCE. TOTAL PROBABILITY THEOREM. BAYES THEOREM.
RANDOM VARIABLES AND PROBABILISTIC MODELS OF COMMON USE. CONTINUOUS AND DISCRETE RANDOM VARIABLES. PROBABILITY DISTRIBUTION. PROBABILITY DENSITY FUNCTION AND PROBABILITY MASS. JOINT AND MARGINAL DISTRIBUTIONS. FUNCTION. SUMMARY DESCRIPTORS (MEAN, VARIANCE,COVARIANCE).
LAW OF LARGE NUMBERS AND THE CENTRAL LIMIT THEOREM. BRIEF OVERVIEW OF TRANSFORMATIONS OF RANDOM VARIABLES

SIGNAL ANALYSIS. (LECTURE / PRACTICE / LABORATORY HOURS 23/9/0)
SIGNAL SPACES. PROPERTIES AND BASIC OPERATIONS OF SIGNALS. TIME AVERAGES, ENERGY AND POWER PERIODIC SIGNALS. RANDOM SIGNALS. CORRELATION FUNCTION AND ITS PROPERTY. SYSTEM PROPERTIES AND LINEAR TIME-INVARIANT (LTI) SYSTEMS. CONVOLUTION INTEGRAL AND SUM.
SIGNALS IN THE FREQUENCY DOMAIN. FREQUENCY RESPONSE. FOURIER TRANSFORM AND ITS PROPERTIES. SPECTRUM OF PERIODIC SIGNALS (FOURIER SERIES). FREQUENCY-DOMAIN LTI SYSTEM ANALYSIS. ENERGY AND POWER SPECTRA OF SIGNALS. INPUT-OUTPUT RELATIONSHIP FOR ENERGY AND POWER SPECTRA AND CORRELATION FUNCTIONS. (
DIGITAL SIGNAL PROCESSING. RELATIONSHIP BETWEEN SAMPLING OPERATION AND REPLICATION OF SIGNALS VIA FOURIER TRANSFORM. NYQUIST-SHANNON SAMPLING THEOREM AND ITS PRACTICAL IMPLEMENTATIONS: ANTI-ALIASING FILTER. BRIEF OVERVIEW OF REAL FILTERS. ANALOG-TO-DIGITAL CONVERSION.

DIGITAL COMMUNICATION SYSTEMS (LECTURE / PRACTICE / LABORATORY HOURS 14/10/0)
BAND-PASS SIGNALS. BRIEF OVERVIEW OF ANALOG COMMUNICATIONS.
GRAM-SCHMIDT PROCEDURE. PAM AND PPM MODULATIONS IN ABSENCE OF ISI
PERFORMANCE OF PAM AND PPM OVER THE AWGN CHANNEL. GRAY CODE. 2BT THEOREM.
INTERSYMBOL INTERFERENCE (ISI)

TOTAL LECTURE / PRACTICE / LABORATORY HOURS 48/24/0
Teaching Methods
THE COURSE INCLUDES THEORETICAL LECTURES AND CLASSROOM EXERCISES.
Verification of learning
THE GOAL OF THE FINAL EXAM IS THE EVALUATION OF THE KNOWLEDGE AND UNDERSTANDING OF THE CONCEPTS PRESENTED DURING THE COURSE. FURTHERMORE, THE PERSONAL JUDGEMENT, THE COMMUNICATION SKILLS AND THE LEARNING ABILITIES ARE ALSO EVALUATED.

THE FINAL EXAM CONSISTS OF A WRITTEN TEST POSSIBLY FOLLOWED BY AN ORAL INTERVIEW.

THE WRITTEN TEST IS EVALUATED ON THE BASIS OF THE ABILITY TO FORMALIZE THE PROBLEM, THE CORRECTNESS OF THE RESULTS, THE CLARITY OF THE PRESENTATION, THE DEPTH OF UNDERSTANDING. A POSITIVE EVALUATION IS NECESSARY TO HAVE ACCESS TO THE ORAL EXAMINATION. THE ORAL EXAMINATION IS AIMED TO REFINE THE EVALUATION.

THE ORAL INTERVIEW AIMS TO VERIFY THE ACQUIRED KNOWLEDGE ALSO ON THE TOPICS NOT COVERED BY THE WRITTEN TEST. THE ORAL EXPOSITION AND THE MATHEMATICAL ARGUMENTS ARE CREDITED WITH HIGHER SCORES. AN ORAL INTERVIEW THAT IS NOT CONSIDERED SUFFICIENT IMPLIES THE REPETITION OF THE WRITTEN TEST, TOO.

IN LINE WITH DEPARTMENT DECISIONS, COURSE PARTICIPANTS CAN UNDERGO AN INTERMEDIATE TEST, THAT ENABLES TO PARTICIPATE TO A FINAL WRITTEN TEST WITHIN THE EXAM SESSION JUST AFTER THE END OF THE COURSE.
Texts
A. PAPOULIS, S. U. PILLAI, PROBABILITY, RANDOM VARIABLES AND STOCHASTIC PROCESSES, 4TH ED., MCGRAW-HILL, 2001.
E. CONTE, LEZIONI DI TEORIA DEI SEGNALI, LIGUORI,1996
J. G. PROAKIS, M. SALEHI, FUNDAMENTALS OF COMMUNICATION SYSTEMS, 2ND ED., PEARSON, 2014.

SUPPLEMENTARY TEACHING MATERIAL WILL BE AVAILABLE ON THE UNIVERSITY E-LEARNING PLATFORM (HTTP://ELEARNING.UNISA.IT) ACCESSIBLE TO STUDENTS USING THEIR OWN UNIVERSITY CREDENTIALS.
More Information
THE COURSE IS HELD IN ITALIAN
  BETA VERSION Data source ESSE3 [Ultima Sincronizzazione: 2022-11-21]