FOUNDATIONS OF SIGNALS AND TRASMISSIONS

Paolo ADDESSO FOUNDATIONS OF SIGNALS AND TRASMISSIONS

0612700115
DIPARTIMENTO DI INGEGNERIA DELL'INFORMAZIONE ED ELETTRICA E MATEMATICA APPLICATA
EQF6
COMPUTER ENGINEERING
2020/2021



OBBLIGATORIO
YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2017
SECONDO SEMESTRE
CFUHOURSACTIVITY
648LESSONS
324EXERCISES


Objectives
THE COURSE AIMS AT PROVIDING:

-THE BASIC TECHNIQUES FOR SIGNAL ANALYSIS AND PROCESSING, WITH EMPHASIS ON FREQUENCY-DOMAIN ANALYSIS AND SIGNAL DIGITIZATION (SAMPLING AND A/D CONVERSION).
-THE MAIN METHODOLOGICAL TOOLS FOR THE ANALYSIS AND THE DESIGN OF DIGITAL COMMUNICATION SYSTEMS, WITH PERFORMANCE ASSESSMENT.


KNOWLEDGE AND UNDERSTANDING:
SIGNAL PROCESSING TECHNIQUES IN THE TIME AND FREQUENCY DOMAINS, BOTH FOR DETERMINISTIC AND RANDOM SIGNALS. ANALOG AND DIGITAL SIGNAL PROCESSING.
A/D CONVERSION.
METHODOLOGICAL BASICS, DESIGN AND PERFORMANCE ANALYSIS OF SIMPLE DIGITAL COMMUNICATION SCHEMES.


APPLIED KNOWLEDGE AND UNDERSTANDING
ABILITY TO DESIGN AND PERFORM SIMPLE SIGNAL PROCESSING TECHNIQUES, BOTH ON DETERMINISTIC AND RANDOM SIGNALS.
ABILITY TO APPLY THE BASIC CONCEPTS OF ANALOG/DIGITAL SIGNAL CONVERSION.
ABILITY TO DESIGN A SIMPLE DIGITAL COMMUNICATION SCHEMES AND TO ANALIZE ITS PERFORMANCE.
Prerequisites
PREREQUISITES: SUITABLE KNOWLEDGE OF MATHEMATICS.
PREPARATORY COURSES: MATHEMATICAL ANALYSIS II.
Contents
ELEMENTS OF PROBABILITY THEORY.

AXIOMS OF PROBABILITY. CONDITIONAL PROBABILITY AND INDEPENDENCE. TOTAL PROBABILITY THEOREM. BAYES THEOREM. (HOURS: LESSONS/EXERCISES/LABORATORY 3/1/0)
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). (HOURS: LESSONS/EXERCISES/LABORATORY 6/2/0)
LAW OF LARGE NUMBERS AND THE CENTRAL LIMIT THEOREM. BRIEF OVERVIEW OF TRANSFORMATIONS OF RANDOM VARIABLES (HOURS: LESSONS/EXERCISES/LABORATORY 2/2/0)

SIGNAL ANALYSIS.

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. (HOURS: LESSONS/EXERCISES/LABORATORY 12/4/0)
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. (HOURS: LESSONS/EXERCISES/LABORATORY 6/2/0)
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. (HOURS: LESSONS/EXERCISES/LABORATORY 4/4/0)

DIGITAL COMMUNICATION SYSTEMS

BAND-PASS SIGNALS. BRIEF OVERVIEW OF ANALOG COMMUNICATIONS. (HOURS: LESSONS/EXERCISES/LABORATORY: 2/2/0).
GRAM-SCHMIDT PROCEDURE. PAM AND PPM MODULATIONS IN ABSENCE OF ISI (HOURS: LESSONS/EXERCISES/LABORATORY 4/3/0).
PERFORMANCE OF PAM AND PPM OVER THE AWGN CHANNEL. GRAY CODE. 2BT THEOREM. (HOURS: LESSONS/EXERCISES/LABORATORY 6/5/0).
INTERSYMBOL INTERFERENCE (ISI) (HOURS: LESSONS/EXERCISES/LABORATORY 2/0/0).
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. IF THE FINAL TEST IS PASSED, THE FINAL ORAL INTERVIEW BECOMES OPTIONAL.
Texts
ELEMENTS OF PROBABILITY THEORY:

LECTURE NOTES

A. PAPOULIS, S. U. PILLAI, PROBABILITY, RANDOM VARIABLES AND STOCHASTIC PROCESSES, 4TH ED., MCGRAW-HILL, 2001.


SIGNAL ANALYSIS:

E. CONTE, LEZIONI DI TEORIA DEI SEGNALI, LIGUORI,1996

M. LUISE, G. M. VITETTA, TEORIA DEI SEGNALI, 3RD ED., MCGRAW-HILL, 2009.

DIGITAL COMMUNICATION SYSTEMS:

J. G. PROAKIS, M. SALEHI, COMMUNICATION SYSTEMS ENGINEERING, 2ND ED., PRENTICE HALL, 2002.
More Information
THE COURSE LANGUAGE IS ITALIAN
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