SIGNAL ANALYSIS

Stefano MARANO SIGNAL ANALYSIS

0612700136
DEPARTMENT OF INFORMATION AND ELECTRICAL ENGINEERING AND APPLIED MATHEMATICS
EQF6
COMPUTER ENGINEERING
2023/2024



OBBLIGATORIO
YEAR OF COURSE 2
YEAR OF DIDACTIC SYSTEM 2022
AUTUMN SEMESTER
CFUHOURSACTIVITY
324LESSONS
324EXERCISES
324LAB


Objectives
THE COURSE PRESENTS BASIC DETERMINISTIC AND PROBABILISTIC TOOLS FOR MODELING AND ANALYZING DATA AND SIGNALS, AND THE FUNDAMENTALS OF DIGITAL COMMUNICATIONS

KNOWLEDGE AND UNDERSTANDING
PROBABILITY AND RANDOM VARIABLES. SIGNAL SPACES. 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 PROCESSING. 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. PERFORMANCE ANALISYS (ERROR PROBABILITY) OF DIGITAL COMMUNICATIONS SCHEMES AS A FUNCTION OF THE SYSTEM RESOURCES.
Prerequisites
PREREQUISITES: SUITABLE KNOWLEDGE OF MATHEMATICS.

PREPARATORY COURSES: MATHEMATICAL ANALYSIS II.
Contents
TOTAL LECTURE/PRACTICE/LABORATORY (LEC/PRA/LAB) HOURS: 48/24/0

1 (2H LEC): INTRODUCTION TO THE COURSE

LEARNING UNIT (LU) 1: SIGNAL AND SYSTEMS (LEC/PRA/LAB: 22/10/0)
2 (2H LEC): SIGNAL SPACES. ELEMENTARY OPERATIONS AND PROPERTIES OF SIGNALS
3 (2H LEC): ELEMENTARY SIGNALS. PERIODIC SIGNALS
4 (2H LEC): TIME AVERAGES. ENERGY AND POWER
5 (2H PRA): EXERCISES ON SIGNALS IN THE TIME DOMAIN, ENERGY AND POWER
6 (2H LEC): PROPERTIES OF SYSTEMS
7 (2H LEC): LTI SYSTEMS. CONVOLUTION SUM AND INTEGRAL
8 (2H PRA): EXERCISES ON SYSTEM PROPERTIES AND LTI FILTERING IN TIME DOMAIN
9 (2H LEC): SIGNALS IN THE FREQUENCY DOMAIN. FREQUENCY RESPONSE. FOURIER TRANSFORM
10 (2H LEC): PROPERTIES OF THE FOURIER TRANSFORM
11 (2H PRA): EXERCISES ON FOURIER TRANSFORM AND PROPERTIES
12 (2H LEC): REPLICATION AND SAMPLING
13 (2H LEC): SPECTRUM OF PERIODIC SIGNALS AND FOURIER SERIES
14 (2H PRA): EXERCISES ON PERIODIC SIGNALS
15 (2H LEC): FREQUENCY DOMAIN ANALYSIS OF LTI SYSTEM. ENERGY CHARACTERIZATION IN THE FREQUENCY DOMAIN. I/O RELATIONSHIP FOR ENERGY AND POWER SPECTRAL DENSITIES.
16 (2H LEC): PRINCIPLES OF DIGITAL SIGNAL PROCESSING. SAMPLING AND RECONSTRUCTION. SAMPLING THEOREM.
17 (2H PRA): EXERCISES ON SAMPLING

KNOWLEDGE AND UNDERSTANDING SKILLS
UNDERSTANDING SIGNAL ANALYSIS IN TIME AND FREQUENCY DOMAINS, AND SAMPLING PRINCIPLES

APPLIED KNOWLEDGE AND UNDERSTANDING SKILLS
ANALYZE SIGNALS IN TIME AND FREQUENCY DOMAINS. DESIGN SIMPLE FILTERING AND SAMPLING SYSTEMS


LU 2: BASIC ELEMENTS OF PROBABILITY (LEC/PRA/LAB: 12/4/0)
18 (2H LEC): AXIOMS AND THEIR IMPLICATIONS
19 (2H LEC): CONDITIONAL PROBABILITY AND INDEPENDENCE. TOTAL PROBABILITY THEOREM. BAYES THEOREM.
20 (2H PRA): EXERCISES ON BASIC PROBABILITY AND INDEPENDENCE
21 (2H LEC): RANDOM VARIABLES AND STANDARD PROBABILISTIC MODELS. CONTINUOUS AND DISCRETE RANDOM VARIABLES
22 (2H LEC): DISTRIBUTIONS, PROBABILITY DENSITY AND PROBABILITY MASS FUNCTION
23 (2H LEC): MOMENTS OF RANDOM VARIABLES (MEAN, VARIANCE, COVARIANCE)
24 (2H LEC): JOINT AND MARGINAL DISTRIBUTIONS
25 (2H PRA): EXERCISES ON RANDOM VARIABLES

KNOWLEDGE AND UNDERSTANDING SKILLS.
UNDERSTANDING BASIC ELEMENTS FOR PROBABILITY CALCULUS AND MANIPULATION OF RANDOM VARIABLES

APPLIED KNOWLEDGE AND UNDERSTANDING SKILLS
APPLY BASIC TECHNIQUES TO SOLVE PROBABILITY, DECISION, CLASSIFICATION, AND ESTIMATION PROBLEMS


LU3: DIGITAL COMMUNICATION SYSTEMS (LEC/PRA/LAB: 12/10/0)
26 (2H LEC): DIGITAL TRANSMISSION SYSTEMS. AWGN CHANNEL
27 (2H LEC): PROBABILISTIC MODEL OF SIGNAL AT THE RECEIVER. RANDOM SIGNALS AND RANDOM VECTORS. TRANSFORMATION OF RANDOM VECTORS.
28 (2H PRA): EXERCISES ON RANDOM SIGNALS AND VECTORS
29 (2H LEC): VECTOR REPRESENTATION AND GRAM-SCHMIDT PROCESS
30 (2H LEC): 1D, 2D AND ORTHOGONAL MODULATION SCHEMES. BIT AND SYMBOL ERROR PROBABILITY
31 (2H PRA): EXERCISES ON SIGNAL REPRESENTATION. GRAM-SCHMIDT PROCESS
32 (2H LEC): PERFORMANCE OF BINARY MODULATIONS
33 (2H PRA): EXERCISES ON PERFORMANCE EVALUATION OF BINARY MODULATIONS
34 (2H LEC): PERFORMANCE OF M-ARY MODULATIONS SCHEMES AND UNION BOUND
35 (2H PRA): EXERCISES ON PERFORMANCE EVALUATION
36 (2H PRA): RECAP EXERCISES

KNOWLEDGE AND UNDERSTANDING SKILLS
UNDERSTANDING BASIC ELEMENTS OF A DIGITAL MODULATION SCHEME FOR THE AWGN CHANNEL

APPLIED KNOWLEDGE AND UNDERSTANDING SKILLS
DESIGN OF SIMPLE DIGITAL MODULATION SYSTEMS AND EVALUATE THEIR PERFORMANCE
Teaching Methods
THE COURSE INCLUDES THEORETICAL LECTURES AND CLASSROOM EXERCISES.
Verification of learning
THE FINAL EXAM IS AIMED AT EVALUATING THE LEVEL KNOWLEDGE AND UNDERSTANDING. THE PRESENTATION SKILLS ARE ALSO TAKEN INTO ACCOUNT.

THE FINAL EXAM CONSISTS OF A WRITTEN TEST WITH NUMERICAL EXCERCISES AND THEORETICAL QUESTIONS. THE GRADE IS ASSIGNED ON THE BASIS OF THE STUDENT’S ABILITY TO PROPERLY FORMALIZE THE PROBLEM, THE CORRECTNESS OF THE RESULTS, THE CLEARNESS AND PRECISION OF THE PRESENTATION, AND THE DEPTH OF UNDERSTANDING. IF THE TEST IS NOT PASSED, IT MUST BE REPEATED IN A SUCCESSIVE EXAM SESSION.

ACCORDING TO THE DEPARTMENT PRESCRIPTIONS, AN INTERMEDIATE TEST WILL BE GIVEN. IF THE INTERMEDIATE TEST IS PASSED, A REDUCED VERSION OF THE FINAL TEST IS REQUIRED (ONLY VALID FOR THE EXAM SESSION IMMEDIATELY AFTER THE END OF THE COURSE).
Texts
G. GELLI, F. VERDE, SEGNALI E SISTEMI. FONDAMENTI DI ANALISI DEI SEGNALI ANALOGICI E DIGITALI, LIGUORI 2014

D.P. BERTSEKAS, J.N. TSITSIKLIS, INTRODUCTION TO PROBABILITY, ATHENA SCIENTIFIC, 2008

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
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