Stefano MARANO | Theory and techniques of telecommunications
Stefano MARANO Theory and techniques of telecommunications
cod. 0612700017
THEORY AND TECHNIQUES OF TELECOMMUNICATIONS
| 0612700017 | |
| DIPARTIMENTO DI INGEGNERIA DELL'INFORMAZIONE ED ELETTRICA E MATEMATICA APPLICATA | |
| COMPUTER ENGINEERING | |
| 2015/2016 |
| OBBLIGATORIO | |
| YEAR OF COURSE 3 | |
| YEAR OF DIDACTIC SYSTEM 2012 | |
| ANNUALE |
| SSD | CFU | HOURS | ACTIVITY | |
|---|---|---|---|---|
| ING-INF/03 | 9 | 90 | LESSONS |
| Objectives | |
|---|---|
| THE FIRST PART OF THIS COURSE PRESENTS THE BASIC CONCEPT OF INFORMATION, AND THE RELATED ULTIMATE LIMITS OF DIGITAL COMMUNICATION SYSTEMS. THE SECOND PART IS DEVOTED TO A METHODOLOGICAL APPROACH TO THE DESIGN AND ANALYSIS OF DIGITAL COMMUNICATION SYSTEMS, WITH SPECIAL ATTENTION TO THEIR PERFORMANCE. - KNOWLEDGE AND UNDERSTANDING: MATHEMATICAL AND STATISTICAL MODELING OF INFORMATION. SIGNAL SPACE. DIGITAL COMMUNICATION SYSTEMS. PRINCIPLES OF DETECTION AND ESTIMATION THEORY. - APPLIED KNOWLEDGE AND UNDERSTANDING: MODELING AND ANALYSIS OF INFORMATION SOURCES AND COMMUNICATION CHANNELS. MODELING OF SIMPLE DIGITAL COMMUNICATION SCHEMES, AND PERFORMANCE ANALYSIS - PERSONAL JUDGEMENTS: ABILITY TO CHARACTERIZE SOURCE AND CHANNELS FROM AN INFORMATION THEORETICAL PERSPECTIVE. ABILITY TO SELECT THE PROPER METHODOLOGIES FOR THE DESIGN AND THE ANALYSIS OF DIGITAL COMMUNICATION SYSTEMS. - COMMUNICATION SKILLS: ORAL EXPOSITION OF THE COURSE TOPICS. TERMINOLOGY OF INFORMATION THEORY AND DIGITAL COMMUNICATION. - LEARNING SKILLS: TO BE ABLE TO APPLY THE ACQUIRED SKILLS TO DIFFERENT CONTEXTS, AND TO DEEPEN THE KNOWLEDGE BY INDIVIDUAL STUDY OF THE SCIENTIFIC LITERATURE. |
| Prerequisites | |
|---|---|
| MATHEMATICS AND PROBABILITY THEORY. SIGNAL THEORY. |
| Contents | |
|---|---|
| ELEMENTS OF INFORMATION THEORY. REVIEW OF PROBABILITY. HISTORICAL SKETCH. ENTROPY AND ITS AXIOMATIC DEFINITION. ENTROPY AND DATA COMPRESSION. THE BINARY ENTROPY FUNCTION. JOINT AND CONDITIONAL ENTROPY MUTUAL INFORMATION AND DIVERGENCE. LOG-SUM INEQUALITY AND ITS CONSEQUENCES. CHEBISHEV INEQUALITY AND THE WEAK LAW OF LARGE NUMBERS. AEP AND TYPICAL SEQUENCES. SOURCE CODING BY AEP. THEOREMS OF SOURCE CODING. PREFIX-FREE CODES. HUFFMAN AND LEMPEL-ZIV CODES. MARKOV CHAINS. DATA PROCESSING INEQUALITY. DIFFERENTIAL ENTROPY. CONSTRAINED OPTIMIZATION AND LAGRANGE METHOD. MAXIMUM ENTROPY DISTRIBUTIONS. CHANNEL CAPACITY FOR DMC. CAPACITY OF BSC. FANO INEQUALITY. FUNDAMENTALS OF SHANNON'S II THEOREM. REPETITION CHANNEL CODES OVER THE BSC. HAMMING(7,4) CODE. LIMITS OF COMMUNICATION RATE IN THE PRESENCE OF ERRORS. CAPACITY OF THE GAUSSIAN CHANNEL WITH POWER CONTRAINT. SPHERE PACKING. DIGITAL COMMUNICATIONS OVER THE AWGN CHANNEL. BAND-PASS SIGNAL AND SYSTEMS. BRIEF OVERVIEW OF ANALOG COMMUNICATIONS. INTRODUCTION TO DIGITAL COMMUNICATIONS. MATHEMATICAL MODELS OF THE PHYSICAL CHANNEL. LAYERING AND BINARY INTERFACE. BASICS OF SOURCE AND CHANNEL CODING. VECTOR SPACES. SIGNAL SPACES: SPACE OF L1 AND L2 FUNCTIONS, EQUIVALENCE CLASSES, INNER PRODUCT, GRAM-SCHMIDT PROCEDURE. ISI AND NYQUIST CRITERION. RAISED COSINE SIGNALS. MODULATION SCHEMES. BIT AND SYMBOL RATES. ISI-FREE MODULATIONS: PAM, ORTHOGONAL. PSK, QAM, FSK. BASIC CONCEPTS IN STATISTICAL DECISION THEORY. WAVEFORM DETECTION AND THE IRRELEVANCE THEOREM. PERFORMANCE OF MODULATION SCHEMES: PAM, ORTHOGONAL, PSK, QAM. SYMBOL AND BIT ERROR PROBABILITIES. GRAY CODE. ROLE OF MINIMUM DISTANCE IN THE SIGNAL SPACE. UNION BOUND AND ITS APPLICATIONS. SHANNON AND FOURIER BANDWIDTHS. DIMENSIONALITY AND 2BT THEOREM. SPECTRAL EFFICIENCY. SIGNAL-TO-NOISE RATIO COMPARISON OF DIFFERENT DIGITAL COMMUNICATIONS SCHEMES. SHANNON LIMITS. BASIC CONCEPTS IN STATISTICAL ESTIMATION THEORY. BAYESIAN AND CLASSICAL APPROACHES: MMSE, ABS ESTIMATOR, MAP, ML. FISHER INFORMATION. ASYMPTOTIC PROPERTIES OF ML ESTIMATOR. PARAMETER ESTIMATION AND SYNCHRONIZATION IN DIGITAL COMMUNICATION SYSTEMS. |
| Teaching Methods | |
|---|---|
| THE THEORETICAL LESSONS ARE INTERLEAVED WITH NUMERICAL EXAMPLES AND DEVELOPED EXERCISES. |
| Verification of learning | |
|---|---|
| WRITTEN EXAMINATION, CONSISTING OF NUMERICAL EXERCISES OR THEORETICAL QUESTIONS, FOLLOWED BY ORAL EXAMINATION. THE WRITTEN EXAMINATION CONSISTS IN SOLVING TYPICAL EXERCISES OF INFORMATION THEORY AND DIGITAL COMMUNICATIONS. THE EVALUATION TAKES INTO ACCOUNT THE ABILITY TO FORMALIZE THE PROBLEM AND THE CORRECTNESS OF THE RESULTS. THE ORAL EXAMINATION IS AIMED TO EVALUATE THE GLOBAL KNOWLEDGE OF THE COURSE TOPICS, THE DEPTH OF UNDERSTANDING, AND THE ABILITY OF ORAL EXPOSITION. |
| Texts | |
|---|---|
| J. G. PROAKIS, M. SALEHI, COMMUNICATION SYSTEMS ENGINEERING, 2ND ED., PRENTICE HALL, 2002. T. M. COVER, J. A. THOMAS, ELEMENTS OF INFORMATION THEORY, JOHN WILEY & SONS, 1991. R. G. GALLAGER, PRINCIPLES OF DIGITAL COMMUNICATION, CAMBRIDGE UNIVERSITY PRESS, 2008 |
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